From 8e00f69d633cb465794af9dda0d3387fe5caa5e3 Mon Sep 17 00:00:00 2001 From: therealyingtong Date: Fri, 20 Aug 2021 14:19:11 +0800 Subject: [PATCH] primitives::poseidon: Add constants for Fq field modulus. --- src/primitives/poseidon.rs | 2 + src/primitives/poseidon/fp.rs | 1424 +++++++++++++++++++++++++ src/primitives/poseidon/fq.rs | 1424 +++++++++++++++++++++++++ src/primitives/poseidon/nullifier.rs | 1428 +------------------------- 4 files changed, 2854 insertions(+), 1424 deletions(-) create mode 100644 src/primitives/poseidon/fp.rs create mode 100644 src/primitives/poseidon/fq.rs diff --git a/src/primitives/poseidon.rs b/src/primitives/poseidon.rs index 8c2115f6..b06303a5 100644 --- a/src/primitives/poseidon.rs +++ b/src/primitives/poseidon.rs @@ -7,6 +7,8 @@ use std::marker::PhantomData; use halo2::arithmetic::FieldExt; +pub(crate) mod fp; +pub(crate) mod fq; pub(crate) mod grain; pub(crate) mod mds; diff --git a/src/primitives/poseidon/fp.rs b/src/primitives/poseidon/fp.rs new file mode 100644 index 00000000..66310776 --- /dev/null +++ b/src/primitives/poseidon/fp.rs @@ -0,0 +1,1424 @@ +//! $ sage generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001 +use pasta_curves::pallas; + +// Number of round constants: 192 +// Round constants for GF(p): +pub(crate) const ROUND_CONSTANTS: [[pallas::Base; 3]; 64] = [ + [ + pallas::Base::from_raw([ + 0x5753_8c25_9642_6303, + 0x4e71_162f_3100_3b70, + 0x353f_628f_76d1_10f3, + 0x360d_7470_611e_473d, + ]), + pallas::Base::from_raw([ + 0xbdb7_4213_bf63_188b, + 0x4908_ac2f_12eb_e06f, + 0x5dc3_c6c5_febf_aa31, + 0x2bab_94d7_ae22_2d13, + ]), + pallas::Base::from_raw([ + 0x0939_d927_53cc_5dc8, + 0xef77_e7d7_3676_6c5d, + 0x2bf0_3e1a_29aa_871f, + 0x150c_93fe_f652_fb1c, + ]), + ], + [ + pallas::Base::from_raw([ + 0x1425_9dce_5377_82b2, + 0x03cc_0a60_141e_894e, + 0x955d_55db_56dc_57c1, + 0x3270_661e_6892_8b3a, + ]), + pallas::Base::from_raw([ + 0xce9f_b9ff_c345_afb3, + 0xb407_c370_f2b5_a1cc, + 0xa0b7_afe4_e205_7299, + 0x073f_116f_0412_2e25, + ]), + pallas::Base::from_raw([ + 0x8eba_d76f_c715_54d8, + 0x55c9_cd20_61ae_93ca, + 0x7aff_d09c_1f53_f5fd, + 0x2a32_ec5c_4ee5_b183, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2d8c_cbe2_92ef_eead, + 0x634d_24fc_6e25_59f2, + 0x651e_2cfc_7406_28ca, + 0x2703_26ee_039d_f19e, + ]), + pallas::Base::from_raw([ + 0xa068_fc37_c182_e274, + 0x8af8_95bc_e012_f182, + 0xdc10_0fe7_fcfa_5491, + 0x27c6_642a_c633_bc66, + ]), + pallas::Base::from_raw([ + 0x9ca1_8682_e26d_7ff9, + 0x710e_1fb6_ab97_6a45, + 0xd27f_5739_6989_129d, + 0x1bdf_d8b0_1401_c70a, + ]), + ], + [ + pallas::Base::from_raw([ + 0xc832_d824_261a_35ea, + 0xf4f6_fb3f_9054_d373, + 0x14b9_d6a9_c84d_d678, + 0x162a_14c6_2f9a_89b8, + ]), + pallas::Base::from_raw([ + 0xf798_2466_7b5b_6bec, + 0xac0a_1fc7_1e2c_f0c0, + 0x2af6_f79e_3127_feea, + 0x2d19_3e0f_76de_586b, + ]), + pallas::Base::from_raw([ + 0x5d0b_f58d_c8a4_aa94, + 0x4fef_f829_8499_0ff8, + 0x8169_6ef1_104e_674f, + 0x044c_a3cc_4a85_d73b, + ]), + ], + [ + pallas::Base::from_raw([ + 0x6198_785f_0cd6_b9af, + 0xb8d9_e2d4_f314_f46f, + 0x1d04_5341_6d3e_235c, + 0x1cba_f2b3_71da_c6a8, + ]), + pallas::Base::from_raw([ + 0x343e_0761_0f3f_ede5, + 0x293c_4ab0_38fd_bbdc, + 0x0e6c_49d0_61b6_b5f4, + 0x1d5b_2777_692c_205b, + ]), + pallas::Base::from_raw([ + 0xf60e_971b_8d73_b04f, + 0x06a9_adb0_c1e6_f962, + 0xaa30_535b_dd74_9a7e, + 0x2e9b_dbba_3dd3_4bff, + ]), + ], + [ + pallas::Base::from_raw([ + 0x035a_1366_1f22_418b, + 0xde40_fbe2_6d04_7b05, + 0x8bd5_bae3_6969_299f, + 0x2de1_1886_b180_11ca, + ]), + pallas::Base::from_raw([ + 0xbc99_8884_ba96_a721, + 0x2ab9_395c_449b_e947, + 0x0d5b_4a3f_1841_dcd8, + 0x2e07_de17_80b8_a70d, + ]), + pallas::Base::from_raw([ + 0x825e_4c2b_b749_25ca, + 0x2504_40a9_9d6b_8af3, + 0xbbdb_63db_d52d_ad16, + 0x0f69_f185_4d20_ca0c, + ]), + ], + [ + pallas::Base::from_raw([ + 0x816c_0594_22dc_705e, + 0x6ce5_1135_07f9_6de9, + 0x0d13_5dc6_39fb_09a4, + 0x2eb1_b254_17fe_1767, + ]), + pallas::Base::from_raw([ + 0xb8b1_bdf4_953b_d82c, + 0xff36_c661_d26c_c42d, + 0x8c24_cb44_c3fa_b48a, + 0x115c_d0a0_643c_fb98, + ]), + pallas::Base::from_raw([ + 0xde80_1612_311d_04cd, + 0xbb57_ddf1_4e0f_958a, + 0x066d_7378_b999_868b, + 0x26ca_293f_7b2c_462d, + ]), + ], + [ + pallas::Base::from_raw([ + 0xf520_9d14_b248_20ca, + 0x0f16_0bf9_f71e_967f, + 0x2a83_0aa1_6241_2cd9, + 0x17bf_1b93_c4c7_e01a, + ]), + pallas::Base::from_raw([ + 0x05c8_6f2e_7dc2_93c5, + 0xe03c_0354_bd8c_fd38, + 0xa24f_8456_369c_85df, + 0x35b4_1a7a_c4f3_c571, + ]), + pallas::Base::from_raw([ + 0x72ac_156a_f435_d09e, + 0x64e1_4d3b_eb2d_ddde, + 0x4359_2799_4849_bea9, + 0x3b14_8008_0523_c439, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2716_18d8_74b1_4c6d, + 0x08e2_8644_2a2d_3eb2, + 0x4950_856d_c907_d575, + 0x2cc6_8100_31dc_1b0d, + ]), + pallas::Base::from_raw([ + 0x91f3_18c0_9f0c_b566, + 0x9e51_7aa9_3b78_341d, + 0x0596_18e2_afd2_ef99, + 0x25bd_bbed_a1bd_e8c1, + ]), + pallas::Base::from_raw([ + 0xc631_3487_073f_7f7b, + 0x2a5e_d0a2_7b61_926c, + 0xb95f_33c2_5dde_8ac0, + 0x392a_4a87_58e0_6ee8, + ]), + ], + [ + pallas::Base::from_raw([ + 0xe7bb_cef0_2eb5_866c, + 0x5e6a_6fd1_5db8_9365, + 0x9aa6_111f_4de0_0948, + 0x272a_5587_8a08_442b, + ]), + pallas::Base::from_raw([ + 0x9b92_5b3c_5b21_e0e2, + 0xa6eb_ba01_1694_dd12, + 0xefa1_3c4e_60e2_6239, + 0x2d5b_308b_0cf0_2cdf, + ]), + pallas::Base::from_raw([ + 0xef38_c57c_3116_73ac, + 0x44df_f42f_18b4_6c56, + 0xdd5d_293d_72e2_e5f2, + 0x1654_9fc6_af2f_3b72, + ]), + ], + [ + pallas::Base::from_raw([ + 0x9b71_26d9_b468_60df, + 0x7639_8265_3442_0311, + 0xfa69_c3a2_ad52_f76d, + 0x1b10_bb7a_82af_ce39, + ]), + pallas::Base::from_raw([ + 0x90d2_7f6a_00b7_dfc8, + 0xd1b3_6968_ba04_05c0, + 0xc79c_2df7_dc98_a3be, + 0x0f1e_7505_ebd9_1d2f, + ]), + pallas::Base::from_raw([ + 0xff45_7756_b819_bb20, + 0x797f_d6e3_f18e_b1ca, + 0x537a_7497_a3b4_3f46, + 0x2f31_3faf_0d3f_6187, + ]), + ], + [ + pallas::Base::from_raw([ + 0xf0bc_3e73_2ecb_26f6, + 0x5cad_11eb_f0f7_ceb8, + 0xfa3c_a61c_0ed1_5bc5, + 0x3a5c_bb6d_e450_b481, + ]), + pallas::Base::from_raw([ + 0x8655_27cb_ca91_5982, + 0x51ba_a6e2_0f89_2b62, + 0xd920_86e2_53b4_39d6, + 0x3dab_54bc_9bef_688d, + ]), + pallas::Base::from_raw([ + 0x3680_45ac_f2b7_1ae3, + 0x4c24_b33b_410f_efd4, + 0xe280_d316_7012_3f74, + 0x06db_fb42_b979_884d, + ]), + ], + [ + pallas::Base::from_raw([ + 0xa7fc_32d2_2f18_b9d3, + 0xb8d2_de72_e3d2_c9ec, + 0xc6f0_39ea_1973_a63e, + 0x068d_6b46_08aa_e810, + ]), + pallas::Base::from_raw([ + 0x2b5d_fcc5_5725_55df, + 0xb868_a7d7_e1f1_f69a, + 0x0ee2_58c9_b8fd_fccd, + 0x366e_bfaf_a3ad_381c, + ]), + pallas::Base::from_raw([ + 0xe6bc_229e_95bc_76b1, + 0x7ef6_6d89_d044_d022, + 0x04db_3024_f41d_3f56, + 0x3967_8f65_512f_1ee4, + ]), + ], + [ + pallas::Base::from_raw([ + 0xe534_c88f_e53d_85fe, + 0xcf82_c25f_99dc_01a4, + 0xd58b_7750_a3bc_2fe1, + 0x2166_8f01_6a80_63c0, + ]), + pallas::Base::from_raw([ + 0x4bef_429b_c533_1608, + 0xe34d_ea56_439f_e195, + 0x1bc7_4936_3e98_a768, + 0x39d0_0994_a8a5_046a, + ]), + pallas::Base::from_raw([ + 0x770c_956f_60d8_81b3, + 0xb163_d416_05d3_9f99, + 0x6b20_3bbe_12fb_3425, + 0x1f9d_bdc3_f843_1263, + ]), + ], + [ + pallas::Base::from_raw([ + 0x9794_a9f7_c336_eab2, + 0xbe0b_c829_fe5e_66c6, + 0xe5f1_7b9e_0ee0_cab6, + 0x0277_45a9_cddf_ad95, + ]), + pallas::Base::from_raw([ + 0x5202_5657_abd8_aee0, + 0x2fa4_3fe2_0a45_c78d, + 0x788d_695c_61e9_3212, + 0x1cec_0803_c504_b635, + ]), + pallas::Base::from_raw([ + 0xd387_2a95_59a0_3a73, + 0xed50_82c8_dbf3_1365, + 0x7207_7448_ef87_cc6e, + 0x1235_23d7_5e9f_abc1, + ]), + ], + [ + pallas::Base::from_raw([ + 0x0017_79e3_a1d3_57f4, + 0x27fe_ba35_975e_e7e5, + 0xf419_b848_e5d6_94bf, + 0x1723_d145_2c9c_f02d, + ]), + pallas::Base::from_raw([ + 0x9dab_1ee4_dcf9_6622, + 0x21c3_f776_f572_836d, + 0xfcc0_573d_7e61_3694, + 0x1739_d180_a160_10bd, + ]), + pallas::Base::from_raw([ + 0x7029_0452_042d_048d, + 0xfafa_96fb_eb0a_b893, + 0xacce_3239_1794_b627, + 0x2d4e_6354_da9c_c554, + ]), + ], + [ + pallas::Base::from_raw([ + 0x670b_cf6f_8b48_5dcd, + 0x8f3b_d43f_9926_0621, + 0x4a86_9553_c9d0_07f8, + 0x153e_e614_2e53_5e33, + ]), + pallas::Base::from_raw([ + 0xd258_d2e2_b778_2172, + 0x968a_d442_4af8_3700, + 0x635e_f7e7_a430_b486, + 0x0c45_bfd3_a69a_aa65, + ]), + pallas::Base::from_raw([ + 0x0e56_33d2_51f7_3307, + 0x6897_ac0a_8ffa_5ff1, + 0xf2d5_6aec_8314_4600, + 0x0adf_d53b_256a_6957, + ]), + ], + [ + pallas::Base::from_raw([ + 0xac9d_36a8_b751_6d63, + 0x3f87_b28f_1c1b_e4bd, + 0x8cd1_726b_7cba_b8ee, + 0x315d_2ac8_ebdb_ac3c, + ]), + pallas::Base::from_raw([ + 0x299c_e44e_a423_d8e1, + 0xc9bb_60d1_f695_9879, + 0xcfae_c23d_2b16_883f, + 0x1b84_7271_2d02_eef4, + ]), + pallas::Base::from_raw([ + 0xc4a5_4041_98ad_f70c, + 0x367d_2c54_e369_28c9, + 0xbd0b_70fa_2255_eb6f, + 0x3c1c_d07e_fda6_ff24, + ]), + ], + [ + pallas::Base::from_raw([ + 0xbbe5_23ae_f9ab_107a, + 0x4a16_073f_738f_7e0c, + 0x687f_4e51_b2e1_dcd3, + 0x1360_52d2_6bb3_d373, + ]), + pallas::Base::from_raw([ + 0x676c_36c2_4ef9_67dd, + 0x7b3c_fbb8_7303_2681, + 0xc1bd_d859_a123_2a1d, + 0x16c9_6bee_f6a0_a848, + ]), + pallas::Base::from_raw([ + 0x067e_ec7f_2d63_40c4, + 0x0123_87ba_b4f1_662d, + 0x2ab7_fed8_f499_a9fb, + 0x284b_38c5_7ff6_5c26, + ]), + ], + [ + pallas::Base::from_raw([ + 0xaf1d_ff20_4c92_2f86, + 0xfc06_772c_1c04_11a6, + 0x39e2_4219_8897_d17c, + 0x0c59_93d1_75e8_1f66, + ]), + pallas::Base::from_raw([ + 0xbbf5_3f67_b1f8_7b15, + 0xf248_87ad_48e1_7759, + 0xfcda_655d_1ba9_c8f9, + 0x03bf_7a3f_7bd0_43da, + ]), + pallas::Base::from_raw([ + 0x9b5c_d09e_36d8_be62, + 0x4c8f_9cbe_69f0_e827, + 0xb0cf_9995_67f0_0e73, + 0x3188_fe4e_e9f9_fafb, + ]), + ], + [ + pallas::Base::from_raw([ + 0xafea_99a2_ec6c_595a, + 0x3af5_bf77_c1c4_2652, + 0x5a39_768c_480d_61e1, + 0x171f_528c_cf65_8437, + ]), + pallas::Base::from_raw([ + 0x5a05_63b9_b8e9_f1d5, + 0x812c_3286_ee70_0067, + 0x196e_4185_9b35_ef88, + 0x12f4_175c_4ab4_5afc, + ]), + pallas::Base::from_raw([ + 0x0e74_d4d3_6911_8b79, + 0x7e23_e1aa_be96_cfab, + 0x8f8f_dcf8_00a9_ac69, + 0x3a50_9e15_5cb7_ebfd, + ]), + ], + [ + pallas::Base::from_raw([ + 0x9871_2c65_678c_fd30, + 0x984b_c8f2_e4c1_b69e, + 0x1a89_920e_2504_c3b3, + 0x10f2_a685_df4a_27c8, + ]), + pallas::Base::from_raw([ + 0xe8a1_6728_cc9d_4918, + 0x5457_3c93_33c5_6321, + 0x1d8d_93d5_4ab9_1a0e, + 0x09e5_f497_90c8_a0e2, + ]), + pallas::Base::from_raw([ + 0x609a_7403_47cf_5fea, + 0x42d1_7ed6_ee0f_ab7e, + 0x2bf3_5705_d9f8_4a34, + 0x352d_69be_d80e_e3e5, + ]), + ], + [ + pallas::Base::from_raw([ + 0x3a75_8af6_fa84_e0e8, + 0xc634_debd_281b_76a6, + 0x4915_62fa_f2b1_90d3, + 0x058e_e73b_a9f3_f293, + ]), + pallas::Base::from_raw([ + 0x621a_1325_10a4_3904, + 0x092c_b921_19bc_76be, + 0xcd0f_1fc5_5b1a_3250, + 0x232f_99cc_911e_ddd9, + ]), + pallas::Base::from_raw([ + 0xc3b9_7c1e_301b_c213, + 0xf9ef_d52c_a6bc_2961, + 0x86c2_2c6c_5d48_69f0, + 0x201b_eed7_b8f3_ab81, + ]), + ], + [ + pallas::Base::from_raw([ + 0xbf6b_3431_ba94_e9bc, + 0x2938_8842_744a_1210, + 0xa1c9_291d_5860_2f51, + 0x1376_dce6_5800_30c6, + ]), + pallas::Base::from_raw([ + 0x6454_843c_5486_d7b3, + 0x072b_a8b0_2d92_e722, + 0x2b33_56c3_8238_f761, + 0x1793_199e_6fd6_ba34, + ]), + pallas::Base::from_raw([ + 0x06a3_f1d3_b433_311b, + 0x3c66_160d_c62a_acac, + 0x9fee_9c20_c87a_67df, + 0x22de_7a74_88dc_c735, + ]), + ], + [ + pallas::Base::from_raw([ + 0x30d6_e3fd_516b_47a8, + 0xdbe0_b77f_ae77_e1d0, + 0xdf8f_f37f_e2d8_edf8, + 0x3514_d5e9_066b_b160, + ]), + pallas::Base::from_raw([ + 0x1937_7427_137a_81c7, + 0xff45_3d6f_900f_144a, + 0xf919_a00d_abbf_5fa5, + 0x30cd_3006_931a_d636, + ]), + pallas::Base::from_raw([ + 0x5b6a_7422_0692_b506, + 0x8f9e_4b2c_ae2e_bb51, + 0x41f8_1a5c_f613_c8df, + 0x253d_1a5c_5293_4127, + ]), + ], + [ + pallas::Base::from_raw([ + 0x73f6_66cb_86a4_8e8e, + 0x851b_3a59_c990_fafc, + 0xa35e_9613_e7f5_fe92, + 0x035b_461c_02d7_9d19, + ]), + pallas::Base::from_raw([ + 0x7cfb_f86a_3aa0_4780, + 0x92b1_283c_2d5f_ccde, + 0x5bc0_0eed_d56b_93e0, + 0x23a9_9280_79d1_75bd, + ]), + pallas::Base::from_raw([ + 0xf1e4_ccd7_3fa0_0a82, + 0xb5e2_ea34_36ee_f957, + 0xf159_4a07_63c6_11ab, + 0x13a7_785a_e134_ea92, + ]), + ], + [ + pallas::Base::from_raw([ + 0xbbf0_4f52_52de_4279, + 0x3889_c578_6344_6d88, + 0x4962_ae3c_0da1_7e31, + 0x39fc_e308_b7d4_3c57, + ]), + pallas::Base::from_raw([ + 0x3b57_e344_89b5_3fad, + 0xbef0_0a08_c6ed_38d2, + 0xc0fd_f016_62f6_0d22, + 0x1aae_1883_3f8e_1d3a, + ]), + pallas::Base::from_raw([ + 0x5551_3e03_3398_513f, + 0x27c1_b3fd_8f85_d8a8, + 0x8b2e_80c0_64fd_83ed, + 0x1a76_1ce8_2400_af01, + ]), + ], + [ + pallas::Base::from_raw([ + 0x5244_ca74_9b73_e481, + 0xdcf6_af28_30a5_0287, + 0x16dd_1a87_ca22_e1cc, + 0x275a_03e4_5add_a7c3, + ]), + pallas::Base::from_raw([ + 0x58a2_53cf_b6a9_5786, + 0x07e5_6145_3fc5_648b, + 0xeb08_e47e_5fea_bcf8, + 0x2e5a_10f0_8b5a_b8bb, + ]), + pallas::Base::from_raw([ + 0xe033_d82c_efe7_8ce3, + 0xc141_a5b6_d594_bec4, + 0xb84e_9c33_3b29_32f1, + 0x1459_cb85_8720_8473, + ]), + ], + [ + pallas::Base::from_raw([ + 0x5cec_7e7b_338f_be1b, + 0x52f9_332f_bffc_fbbd, + 0x7b92_ce81_0e14_a400, + 0x193a_e592_1d78_b5de, + ]), + pallas::Base::from_raw([ + 0x6022_4be6_7248_e82c, + 0x3743_84f4_a072_8205, + 0x8911_1fb2_c466_0281, + 0x3097_898a_5d00_11a4, + ]), + pallas::Base::from_raw([ + 0x5499_80de_8629_30f5, + 0x1979_b2d1_c465_b4d9, + 0x5717_82fd_96ce_54b4, + 0x378d_97bf_8c86_4ae7, + ]), + ], + [ + pallas::Base::from_raw([ + 0x37ea_32a9_71d1_7884, + 0xdbc7_f5cb_4609_3421, + 0x8813_6287_ce37_6b08, + 0x2eb0_4ea7_c01d_97ec, + ]), + pallas::Base::from_raw([ + 0xead3_726f_1af2_e7b0, + 0x861c_bda4_7680_4e6c, + 0x2302_a1c2_2e49_baec, + 0x3642_5347_ea03_f641, + ]), + pallas::Base::from_raw([ + 0xecd6_27e5_9590_d09e, + 0x3f5b_5ca5_a19a_9701, + 0xcc99_6cd8_5c98_a1d8, + 0x26b7_2df4_7408_ad42, + ]), + ], + [ + pallas::Base::from_raw([ + 0x59be_ce31_f0a3_1e95, + 0xde01_212e_e458_8f89, + 0x1f05_636c_610b_89aa, + 0x1301_80e4_4e29_24db, + ]), + pallas::Base::from_raw([ + 0x9ea8_e7bc_7926_3550, + 0xdf77_93cc_89e5_b52f, + 0x7327_5aca_ed5f_579c, + 0x219e_9773_7d39_79ba, + ]), + pallas::Base::from_raw([ + 0x9c12_635d_f251_d153, + 0x3b06_72dd_7d42_cbb4, + 0x3461_363f_81c4_89a2, + 0x3cdb_9359_8a5c_a528, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2861_ce16_f219_d5a9, + 0x4ad0_4470_45a7_c5aa, + 0x2072_4b92_7a0c_a81c, + 0x0e59_e6f3_32d7_ed37, + ]), + pallas::Base::from_raw([ + 0x43b0_a3fc_ff20_36bd, + 0x172c_c07b_9d33_fbf9, + 0x3d73_6946_7222_697a, + 0x1b06_4342_d51a_4275, + ]), + pallas::Base::from_raw([ + 0x3eb3_1022_8a0e_5f6c, + 0x78fa_9fb9_1712_21b7, + 0x2f36_3c55_b288_2e0b, + 0x30b8_2a99_8cbd_8e8a, + ]), + ], + [ + pallas::Base::from_raw([ + 0xe46f_6d42_9874_0107, + 0x8ad7_1ea7_15be_0573, + 0x63df_7a76_e858_a4aa, + 0x23e4_ab37_183a_cba4, + ]), + pallas::Base::from_raw([ + 0xfca9_95e2_b599_14a1, + 0xacfe_1464_0de0_44f2, + 0x5d33_094e_0bed_a75b, + 0x2795_d5c5_fa42_8022, + ]), + pallas::Base::from_raw([ + 0xc26d_909d_ee8b_53c0, + 0xa668_7c3d_f16c_8fe4, + 0xd765_f26d_d03f_4c45, + 0x3001_ca40_1e89_601c, + ]), + ], + [ + pallas::Base::from_raw([ + 0xe7fe_a6bd_f347_1380, + 0xe84b_5beb_ae4e_501d, + 0xf7bf_86e8_9280_827f, + 0x0072_e45c_c676_b08e, + ]), + pallas::Base::from_raw([ + 0xd0c5_4dde_b26b_86c0, + 0xb648_29e2_d40e_41bd, + 0xe2ab_e4c5_18ce_599e, + 0x13de_7054_8487_4bb5, + ]), + pallas::Base::from_raw([ + 0x3891_5b43_2a99_59a5, + 0x82bb_18e5_af1b_05bb, + 0x3159_50f1_211d_efe8, + 0x0408_a9fc_f9d6_1abf, + ]), + ], + [ + pallas::Base::from_raw([ + 0x3407_0cbe_e268_86a0, + 0xae4d_23b0_b41b_e9a8, + 0xbb4e_4a14_00cc_d2c4, + 0x2780_b9e7_5b55_676e, + ]), + pallas::Base::from_raw([ + 0x9405_5920_98b4_056f, + 0xdc4d_8fbe_fe24_405a, + 0xf803_33ec_8563_4ac9, + 0x3a57_0d4d_7c4e_7ac3, + ]), + pallas::Base::from_raw([ + 0x78d2_b247_8995_20b4, + 0xe2cc_1507_bebd_cc62, + 0xf347_c247_fcf0_9294, + 0x0c13_cca7_cb1f_9d2c, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2e8c_88f7_7074_70e0, + 0x0b50_bb2e_b82d_f74d, + 0xd261_4a19_7c6b_794b, + 0x14f5_9baa_03cd_0ca4, + ]), + pallas::Base::from_raw([ + 0xbe52_476e_0a16_f3be, + 0xa51d_54ed_e661_67f5, + 0x6f54_6e17_04c3_9c60, + 0x307d_efee_925d_fb43, + ]), + pallas::Base::from_raw([ + 0x380b_67d8_0473_dce3, + 0x6611_0683_6adf_e5e7, + 0x7a07_e767_4b5a_2621, + 0x1960_cd51_1a91_e060, + ]), + ], + [ + pallas::Base::from_raw([ + 0x15aa_f1f7_7125_89dd, + 0xb8ee_335d_8828_4cbe, + 0xca2a_d0fb_5667_2500, + 0x2301_ef9c_63ea_84c5, + ]), + pallas::Base::from_raw([ + 0x5e68_478c_4d60_27a9, + 0xc861_82d1_b424_6b58, + 0xd10f_4cd5_2be9_7f6b, + 0x029a_5a47_da79_a488, + ]), + pallas::Base::from_raw([ + 0x2cc4_f962_eaae_2260, + 0xf97f_e46b_6a92_5428, + 0x2360_d17d_890e_55cb, + 0x32d7_b16a_7f11_cc96, + ]), + ], + [ + pallas::Base::from_raw([ + 0xc0ca_b915_d536_3d9f, + 0xa5f2_404c_d7b3_5eb0, + 0x18e8_57a9_8d49_8cf7, + 0x2670_3e48_c03b_81ca, + ]), + pallas::Base::from_raw([ + 0xf691_123a_e112_b928, + 0xf443_88bd_6b89_221e, + 0x88ac_8d25_a246_03f1, + 0x0486_82a3_5b32_65bc, + ]), + pallas::Base::from_raw([ + 0x3ab7_defc_b8d8_03e2, + 0x91d6_e171_5164_775e, + 0xd72c_ddc6_cf06_b507, + 0x06b1_3904_41fa_7030, + ]), + ], + [ + pallas::Base::from_raw([ + 0xbcd7_9541_4a6e_2e86, + 0x43b3_60f6_386a_86d7, + 0x1689_426d_ce05_fcd8, + 0x31aa_0eeb_868c_626d, + ]), + pallas::Base::from_raw([ + 0xed77_f5d5_76b9_9cc3, + 0x90ef_d8f4_1b20_78b2, + 0x057a_bad3_764c_104b, + 0x2394_64f7_5bf7_b6af, + ]), + pallas::Base::from_raw([ + 0xb2cb_4873_07c1_cecf, + 0xa5cc_47c5_9654_b2a7, + 0xa45e_19ed_813a_54ab, + 0x0a64_d4c0_4fd4_26bd, + ]), + ], + [ + pallas::Base::from_raw([ + 0x1f73_1532_2f65_8735, + 0x777c_7a92_1a06_2e9d, + 0x576a_4ad2_5986_0fb1, + 0x21fb_bdbb_7367_0734, + ]), + pallas::Base::from_raw([ + 0x6743_2400_3fc5_2146, + 0x5b86_d294_63d3_1564, + 0xd937_1ca2_eb95_acf3, + 0x31b8_6f3c_f017_05d4, + ]), + pallas::Base::from_raw([ + 0x7045_f48a_a4eb_4f6f, + 0x1354_1d65_157e_e1ce, + 0x05ef_1736_d090_56f6, + 0x2bfd_e533_5437_7c91, + ]), + ], + [ + pallas::Base::from_raw([ + 0x5a13_a58d_2001_1e2f, + 0xf4d5_239c_11d0_eafa, + 0xd558_f36e_65f8_eca7, + 0x1233_ca93_6ec2_4671, + ]), + pallas::Base::from_raw([ + 0x6e70_af0a_7a92_4b3a, + 0x8780_58d0_234a_576f, + 0xc437_846d_8e0b_2b30, + 0x27d4_52a4_3ac7_dea2, + ]), + pallas::Base::from_raw([ + 0xa025_76b9_4392_f980, + 0x6a30_641a_1c3d_87b2, + 0xe816_ea8d_a493_e0fa, + 0x2699_dba8_2184_e413, + ]), + ], + [ + pallas::Base::from_raw([ + 0x608c_6f7a_61b5_6e55, + 0xf185_8466_4f8c_ab49, + 0xc398_8bae_e42e_4b10, + 0x36c7_22f0_efcc_8803, + ]), + pallas::Base::from_raw([ + 0x6e49_ac17_0dbb_7fcd, + 0x85c3_8899_a7b5_a833, + 0x08b0_f2ec_89cc_aa37, + 0x02b3_ff48_861e_339b, + ]), + pallas::Base::from_raw([ + 0xa8c5_ae03_ad98_e405, + 0x6fc3_ff4c_49eb_59ad, + 0x6016_2f44_27bc_657b, + 0x0b70_d061_d58d_8a7f, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2e06_cc4a_f33b_0a06, + 0xad3d_e8be_46ed_9693, + 0xf875_3ade_b9d7_cee2, + 0x3fc2_a13f_127f_96a4, + ]), + pallas::Base::from_raw([ + 0xc120_80ac_117e_e15f, + 0x00cb_3d62_1e17_1d80, + 0x1bd6_3434_ac8c_419f, + 0x0c41_a6e4_8dd2_3a51, + ]), + pallas::Base::from_raw([ + 0x9685_213e_9692_f5e1, + 0x72aa_ad7e_4e75_339d, + 0xed44_7653_7169_084e, + 0x2de8_072a_6bd8_6884, + ]), + ], + [ + pallas::Base::from_raw([ + 0x0ad0_1184_567b_027c, + 0xb81c_f735_cc9c_39c0, + 0x9d34_96a3_d9fe_05ec, + 0x0355_7a8f_7b38_a17f, + ]), + pallas::Base::from_raw([ + 0x45bc_b5ac_0082_6abc, + 0x060f_4336_3d81_8e54, + 0xee97_6d34_282f_1a37, + 0x0b5f_5955_2f49_8735, + ]), + pallas::Base::from_raw([ + 0x2f29_09e1_7e22_b0df, + 0xf5d6_46e5_7507_e548, + 0xfedb_b185_70dc_7300, + 0x0e29_23a5_fee7_b878, + ]), + ], + [ + pallas::Base::from_raw([ + 0xf71e_ed73_f15b_3326, + 0xcf1c_b37c_3b03_2af6, + 0xc787_be97_020a_7fdd, + 0x1d78_5005_a7a0_0592, + ]), + pallas::Base::from_raw([ + 0x0acf_bfb2_23f8_f00d, + 0xa590_b88a_3b06_0294, + 0x0ba5_fedc_b8f2_5bd2, + 0x1ad7_72c2_73d9_c6df, + ]), + pallas::Base::from_raw([ + 0xc1ce_13d6_0f2f_5031, + 0x8105_10eb_61f0_672d, + 0xa78f_3275_c278_234b, + 0x027b_d647_85fc_bd2a, + ]), + ], + [ + pallas::Base::from_raw([ + 0x8337_f5e0_7923_a853, + 0xe224_3134_6945_7b8e, + 0xce6f_8ffe_a103_1b6d, + 0x2080_0f44_1b4a_0526, + ]), + pallas::Base::from_raw([ + 0xa33d_7bed_89a4_408a, + 0x36cd_c8ee_d662_ad37, + 0x6eea_2cd4_9f43_12b4, + 0x3d5a_d61d_7b65_f938, + ]), + pallas::Base::from_raw([ + 0x3bbb_ae94_cc19_5284, + 0x1df9_6cc0_3ea4_b26d, + 0x02c5_f91b_e4dd_8e3d, + 0x1333_8bc3_51fc_46dd, + ]), + ], + [ + pallas::Base::from_raw([ + 0xc527_1c29_7852_819e, + 0x646c_49f9_b46c_bf19, + 0xb87d_b1e2_af3e_a923, + 0x25e5_2be5_07c9_2760, + ]), + pallas::Base::from_raw([ + 0x5c38_0ab7_01b5_2ea9, + 0xa34c_83a3_485c_6b2d, + 0x7109_6d8b_1b98_3c98, + 0x1c49_2d64_c157_aaa4, + ]), + pallas::Base::from_raw([ + 0xa20c_0b3d_a0da_4ca3, + 0xd434_87bc_288d_f682, + 0xf4e6_c5e7_a573_f592, + 0x0c5b_8015_7999_2718, + ]), + ], + [ + pallas::Base::from_raw([ + 0x7ea3_3c93_e408_33cf, + 0x584e_9e62_a7f9_554e, + 0x6869_5c0c_d7cb_f43d, + 0x1090_b1b4_d2be_be7a, + ]), + pallas::Base::from_raw([ + 0xe383_e1ec_3baa_8d69, + 0x1b21_8e35_ecf2_328e, + 0x68f5_ce5c_bed1_9cad, + 0x33e3_8018_a801_387a, + ]), + pallas::Base::from_raw([ + 0xb76b_0b3d_787e_e953, + 0x5f4a_02d2_8729_e3ae, + 0xeef8_d83d_0e87_6bac, + 0x1654_af18_772b_2da5, + ]), + ], + [ + pallas::Base::from_raw([ + 0xef7c_e6a0_1326_5477, + 0xbb08_9387_0367_ec6c, + 0x4474_2de8_8c5a_b0d5, + 0x1678_be3c_c9c6_7993, + ]), + pallas::Base::from_raw([ + 0xaf5d_4789_3348_f766, + 0xdaf1_8183_55b1_3b4f, + 0x7ff9_c6be_546e_928a, + 0x3780_bd1e_01f3_4c22, + ]), + pallas::Base::from_raw([ + 0xa123_8032_0d7c_c1de, + 0x5d11_e69a_a6c0_b98c, + 0x0786_018e_7cb7_7267, + 0x1e83_d631_5c9f_125b, + ]), + ], + [ + pallas::Base::from_raw([ + 0x1799_603e_855c_e731, + 0xc486_894d_76e0_c33b, + 0x160b_4155_2f29_31c8, + 0x354a_fd0a_2f9d_0b26, + ]), + pallas::Base::from_raw([ + 0x8b99_7ee0_6be1_bff3, + 0x60b0_0dbe_1fac_ed07, + 0x2d8a_ffa6_2905_c5a5, + 0x00cd_6d29_f166_eadc, + ]), + pallas::Base::from_raw([ + 0x08d0_6419_1708_2f2c, + 0xc60d_0197_3f18_3057, + 0xdbe0_e3d7_cdbc_66ef, + 0x1d62_1935_2768_e3ae, + ]), + ], + [ + pallas::Base::from_raw([ + 0xfa08_dd98_0638_7577, + 0xafe3_ca1d_b8d4_f529, + 0xe48d_2370_d7d1_a142, + 0x1463_36e2_5db5_181d, + ]), + pallas::Base::from_raw([ + 0xa901_d3ce_84de_0ad4, + 0x022e_54b4_9c13_d907, + 0x997a_2116_3e2e_43df, + 0x0005_d8e0_85fd_72ee, + ]), + pallas::Base::from_raw([ + 0x1c36_f313_4196_4484, + 0x6f8e_bc1d_2296_021a, + 0x0dd5_e61c_8a4e_8642, + 0x364e_97c7_a389_3227, + ]), + ], + [ + pallas::Base::from_raw([ + 0xd7a0_0c03_d2e0_baaa, + 0xfa97_ec80_ad30_7a52, + 0x561c_6fff_1534_6878, + 0x0118_9910_671b_c16b, + ]), + pallas::Base::from_raw([ + 0x63fd_8ac5_7a95_ca8c, + 0x4c0f_7e00_1df4_90aa, + 0x5229_dfaa_0123_1a45, + 0x162a_7c80_f4d2_d12e, + ]), + pallas::Base::from_raw([ + 0x32e6_9efb_22f4_0b96, + 0xcaff_31b4_fda3_2124, + 0x2604_e4af_b09f_8603, + 0x2a0d_6c09_5766_66bb, + ]), + ], + [ + pallas::Base::from_raw([ + 0xc0a0_180f_8cbf_c0d2, + 0xf444_d10d_63a7_4e2c, + 0xe16a_4d60_3d5a_808e, + 0x0978_e5c5_1e1e_5649, + ]), + pallas::Base::from_raw([ + 0x03f4_460e_bc35_1b6e, + 0x0508_7d90_3bda_cfd1, + 0xebe1_9bbd_ce25_1011, + 0x1bdc_ee3a_aca9_cd25, + ]), + pallas::Base::from_raw([ + 0xf619_64bf_3ade_7670, + 0x0c94_7321_e007_5e3f, + 0xe494_7914_0b19_44fd, + 0x1862_cccb_70b5_b885, + ]), + ], + [ + pallas::Base::from_raw([ + 0xc326_7da6_e94a_dc50, + 0x39ee_99c1_cc6e_5dda, + 0xbc26_cc88_3a19_87e1, + 0x1f3e_91d8_63c1_6922, + ]), + pallas::Base::from_raw([ + 0x0f85_b4ac_2c36_7406, + 0xfa66_1465_c656_ad99, + 0xef5c_08f8_478f_663a, + 0x1af4_7a48_a601_6a49, + ]), + pallas::Base::from_raw([ + 0x0eab_cd87_e7d0_1b15, + 0x1c36_98b0_a2e3_da10, + 0x009d_5733_8c69_3505, + 0x3c8e_e901_956e_3d3f, + ]), + ], + [ + pallas::Base::from_raw([ + 0x8b94_7721_8967_3476, + 0xe10c_e2b7_069f_4dbd, + 0x68d0_b024_f591_b520, + 0x1660_a8cd_e7fe_c553, + ]), + pallas::Base::from_raw([ + 0x9d8d_0f67_fdaa_79d5, + 0x3963_c2c1_f558_6e2f, + 0x1303_9363_34dd_1132, + 0x0f6d_9919_29d5_e4e7, + ]), + pallas::Base::from_raw([ + 0x7a43_3091_e1ce_2d3a, + 0x4e7f_da77_0712_f343, + 0xcc62_5eaa_ab52_b4dc, + 0x02b9_cea1_921c_d9f6, + ]), + ], + [ + pallas::Base::from_raw([ + 0x3797_b2d8_3760_43b3, + 0xd8ca_f468_976f_0472, + 0x214f_7c67_84ac_b565, + 0x14a3_23b9_9b90_0331, + ]), + pallas::Base::from_raw([ + 0x347f_ef2c_00f0_953a, + 0x718b_7fbc_7788_af78, + 0xec01_ea79_642d_5760, + 0x1904_76b5_80cb_9277, + ]), + pallas::Base::from_raw([ + 0xff4e_7e6f_b268_dfd7, + 0x9660_902b_6008_7651, + 0xa424_63d3_0b44_2b6f, + 0x090a_3a9d_869d_2eef, + ]), + ], + [ + pallas::Base::from_raw([ + 0xf983_387e_a045_6203, + 0xe365_0013_04f9_a11e, + 0x0dbe_8fd2_270a_6795, + 0x3877_a955_8636_7567, + ]), + pallas::Base::from_raw([ + 0x39c0_af0f_e01f_4a06, + 0x6011_8c53_a218_1352, + 0x5df3_9a2c_c63d_dc0a, + 0x2d89_4691_240f_e953, + ]), + pallas::Base::from_raw([ + 0x1aca_9eaf_9bba_9850, + 0x5914_e855_eeb4_4aa1, + 0x7ef7_1780_2016_6189, + 0x21b9_c182_92bd_bc59, + ]), + ], + [ + pallas::Base::from_raw([ + 0x33f5_09a7_4ad9_d39b, + 0x272e_1cc6_c36a_2968, + 0x505a_05f2_a6ae_834c, + 0x2fe7_6be7_cff7_23e2, + ]), + pallas::Base::from_raw([ + 0x0df9_fa97_277f_a8b4, + 0xd15b_ff84_0dda_e8a5, + 0x9299_81d7_cfce_253b, + 0x187a_a448_f391_e3ca, + ]), + pallas::Base::from_raw([ + 0xf0c6_6af5_ffc7_3736, + 0x663c_cf7b_2ffe_4b5e, + 0x007a_b3aa_3617_f422, + 0x0b70_83ad_7517_07bf, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2f9b_20f1_fbd4_9791, + 0x1975_b962_f6cb_8e0b, + 0x3bc4_ca99_02c5_2acb, + 0x030d_dbb4_7049_3f16, + ]), + pallas::Base::from_raw([ + 0x3a1c_62ca_8fbf_2525, + 0x8fb8_ab9d_60ea_17b2, + 0x950b_0ab1_8d35_46df, + 0x3130_fbaf_fb5a_a82a, + ]), + pallas::Base::from_raw([ + 0x43a8_7618_0dc3_82e0, + 0x15ce_2ead_2fcd_051e, + 0x4f74_d74b_ac2e_e457, + 0x337f_5447_07c4_30f0, + ]), + ], + [ + pallas::Base::from_raw([ + 0x26de_98a8_736d_1d11, + 0x7d8e_471a_9fb9_5fef, + 0xac9d_91b0_930d_ac75, + 0x3499_7991_9015_394f, + ]), + pallas::Base::from_raw([ + 0xccfc_b618_31d5_c775, + 0x3bf9_3da6_fff3_1d95, + 0x2305_cd7a_921e_c5f1, + 0x027c_c4ef_e3fb_35dd, + ]), + pallas::Base::from_raw([ + 0xc3fa_2629_635d_27de, + 0x67f1_c6b7_3147_64af, + 0x61b7_1a36_9868_2ad2, + 0x037f_9f23_6595_4c5b, + ]), + ], + [ + pallas::Base::from_raw([ + 0x77c5_b024_8483_71ae, + 0x6041_4abe_362d_01c9, + 0x10f1_cc6d_f8b4_bcd7, + 0x1f69_7cac_4d07_feb7, + ]), + pallas::Base::from_raw([ + 0x786a_dd24_4aa0_ef29, + 0x3145_c478_0631_09d6, + 0x26e6_c851_fbd5_72a6, + 0x267a_750f_e5d7_cfbc, + ]), + pallas::Base::from_raw([ + 0x180e_2b4d_3e75_6f65, + 0xaf28_5fa8_2ce4_fae5, + 0x678c_9996_d9a4_72c8, + 0x0c91_feab_4a43_193a, + ]), + ], + [ + pallas::Base::from_raw([ + 0x79c4_7c57_3ac4_10f7, + 0x7e3b_83af_4a4b_a3ba, + 0x2186_c303_8ea0_5e69, + 0x1745_569a_0a3e_3014, + ]), + pallas::Base::from_raw([ + 0x1e03_8852_2696_191f, + 0xfdff_66c6_f3b5_ffe1, + 0xeca5_1207_78a5_6711, + 0x2986_3d54_6e7e_7c0d, + ]), + pallas::Base::from_raw([ + 0x2f22_5e63_66bf_e390, + 0xa79a_03df_8339_94c6, + 0xbf06_bae4_9ef8_53f6, + 0x1148_d6ab_2bd0_0192, + ]), + ], + [ + pallas::Base::from_raw([ + 0xf4f6_331a_8b26_5d15, + 0xf745_f45d_350d_41d4, + 0xe18b_1499_060d_a366, + 0x02e0_e121_b0f3_dfef, + ]), + pallas::Base::from_raw([ + 0x078a_e6aa_1510_54b7, + 0x6904_0173_6d44_a653, + 0xb89e_f73a_40a2_b274, + 0x0d0a_a46e_76a6_a278, + ]), + pallas::Base::from_raw([ + 0x9a4d_532c_7b6e_0958, + 0x392d_de71_0f1f_06db, + 0xeee5_45f3_fa6d_3d08, + 0x1394_3675_b04a_a986, + ]), + ], + [ + pallas::Base::from_raw([ + 0x961f_c818_dcbb_66b5, + 0xc9f2_b325_7530_dafe, + 0xd97a_11d6_3088_f5d9, + 0x2901_ec61_942d_34aa, + ]), + pallas::Base::from_raw([ + 0xfdf5_44b9_63d1_fdc7, + 0x22ff_a2a2_af9f_a3e3, + 0xf431_d544_34a3_e0cf, + 0x2020_4a21_05d2_2e7e, + ]), + pallas::Base::from_raw([ + 0x1211_b9e2_190d_6852, + 0xa004_abe8_e015_28c4, + 0x5c1e_3e9e_27a5_71c3, + 0x3a8a_6282_9512_1d5c, + ]), + ], +]; +// Secure MDS: 0 +// n: 255 +// t: 3 +// N: 765 +// Result Algorithm 1: +// [True, 0] +// Result Algorithm 2: +// [True, None] +// Result Algorithm 3: +// [True, None] +// Prime number: 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001 +// MDS matrix: +pub(crate) const MDS: [[pallas::Base; 3]; 3] = [ + [ + pallas::Base::from_raw([ + 0x323f_2486_d7e1_1b63, + 0x97d7_a0ab_2385_0b56, + 0xb3d5_9fbd_c8c9_ead4, + 0x0ab5_e5b8_74a6_8de7, + ]), + pallas::Base::from_raw([ + 0x8eca_5596_e996_ab5e, + 0x240d_4a7c_bf73_5736, + 0x293f_0f0d_886c_7954, + 0x3191_6628_e58a_5abb, + ]), + pallas::Base::from_raw([ + 0x19d1_cf25_d8e8_345d, + 0xa0a3_b71a_5fb1_5735, + 0xd803_952b_bb36_4fdf, + 0x07c0_45d5_f5e9_e5a6, + ]), + ], + [ + pallas::Base::from_raw([ + 0xd049_cdc8_d085_167c, + 0x3a0a_4640_48bd_770a, + 0xf8e2_4f66_822c_2d9f, + 0x2331_6263_0ebf_9ed7, + ]), + pallas::Base::from_raw([ + 0x4022_7011_3e04_7a2e, + 0x78f8_365c_85bb_ab07, + 0xb366_6454_8d60_957d, + 0x25ca_e259_9892_a8b0, + ]), + pallas::Base::from_raw([ + 0xf84d_806f_685f_747a, + 0x9aad_3d82_62ef_d83f, + 0x7493_8717_989a_1957, + 0x22f5_b5e1_e608_1c97, + ]), + ], + [ + pallas::Base::from_raw([ + 0xfee7_a994_4f84_dbe4, + 0x2168_0eab_c56b_c15d, + 0xf333_aa91_c383_3464, + 0x2e29_dd59_c64b_1037, + ]), + pallas::Base::from_raw([ + 0xc771_effa_4326_3664, + 0xcbea_f48b_3a06_24c3, + 0x92d1_5e7d_ceef_1665, + 0x1d1a_ab4e_c1cd_6788, + ]), + pallas::Base::from_raw([ + 0x1563_9415_f6e8_5ef1, + 0x7587_2c39_b59a_31f6, + 0x51e0_cbea_d655_16b9, + 0x3bf7_6308_6a18_9364, + ]), + ], +]; + +pub(crate) const MDS_INV: [[pallas::Base; 3]; 3] = [ + [ + pallas::Base::from_raw([ + 0xc6de_463c_d140_4e6b, + 0x4543_705f_35e9_8ab5, + 0xcc59_ffd0_0de8_6443, + 0x2cc0_57f3_fa14_687a, + ]), + pallas::Base::from_raw([ + 0x1718_4041_7cab_7576, + 0xfadb_f8ae_7ae2_4796, + 0x5fd7_2b55_df20_8385, + 0x32e7_c439_f2f9_67e5, + ]), + pallas::Base::from_raw([ + 0x9426_45bd_7d44_64e0, + 0x1403_db6f_5030_2040, + 0xf461_778a_bf6c_91fa, + 0x2eae_5df8_c311_5969, + ]), + ], + [ + pallas::Base::from_raw([ + 0xa1ca_1516_a4a1_a6a0, + 0x13f0_74fd_e9a1_8b29, + 0xdb18_b4ae_fe68_d26d, + 0x07bf_3684_8106_7199, + ]), + pallas::Base::from_raw([ + 0xe824_25bc_1b23_a059, + 0xbb1d_6504_0c85_c1bf, + 0x018a_918b_9dac_5dad, + 0x2aec_6906_c63f_3cf1, + ]), + pallas::Base::from_raw([ + 0xe054_1adf_238e_0781, + 0x76b2_a713_9db7_1b36, + 0x1215_944a_64a2_46b2, + 0x0952_e024_3aec_2af0, + ]), + ], + [ + pallas::Base::from_raw([ + 0x2a41_8d8d_73a7_c908, + 0xaef9_112e_952f_dbb5, + 0x723a_63a0_c09d_ab26, + 0x2fcb_ba6f_9159_a219, + ]), + pallas::Base::from_raw([ + 0x76ef_ab42_d4fb_a90b, + 0xc5e4_960d_7424_cd37, + 0xb4dd_d4b4_d645_2256, + 0x1ec7_3725_74f3_851b, + ]), + pallas::Base::from_raw([ + 0xadc8_933c_6f3c_72ee, + 0x87a7_435d_30f8_be81, + 0x3c26_fa4b_7d25_b1e4, + 0x0d0c_2efd_6472_f12a, + ]), + ], +]; diff --git a/src/primitives/poseidon/fq.rs b/src/primitives/poseidon/fq.rs new file mode 100644 index 00000000..1c68512a --- /dev/null +++ b/src/primitives/poseidon/fq.rs @@ -0,0 +1,1424 @@ +//! sage generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001 +use pasta_curves::vesta; + +// Number of round constants: 192 +// Round constants for GF(p): +pub(crate) const ROUND_CONSTANTS: [[vesta::Base; 3]; 64] = [ + [ + vesta::Base::from_raw([ + 0x5753_8c25_9642_6303, + 0x4e71_162f_3100_3b70, + 0x353f_628f_76d1_10f3, + 0x360d_7470_611e_473d, + ]), + vesta::Base::from_raw([ + 0xbdb7_4213_bf63_188b, + 0x4908_ac2f_12eb_e06f, + 0x5dc3_c6c5_febf_aa31, + 0x2bab_94d7_ae22_2d13, + ]), + vesta::Base::from_raw([ + 0x0939_d927_53cc_5dc8, + 0xef77_e7d7_3676_6c5d, + 0x2bf0_3e1a_29aa_871f, + 0x150c_93fe_f652_fb1c, + ]), + ], + [ + vesta::Base::from_raw([ + 0x1425_9dce_5377_82b2, + 0x03cc_0a60_141e_894e, + 0x955d_55db_56dc_57c1, + 0x3270_661e_6892_8b3a, + ]), + vesta::Base::from_raw([ + 0xce9f_b9ff_c345_afb3, + 0xb407_c370_f2b5_a1cc, + 0xa0b7_afe4_e205_7299, + 0x073f_116f_0412_2e25, + ]), + vesta::Base::from_raw([ + 0x8eba_d76f_c715_54d8, + 0x55c9_cd20_61ae_93ca, + 0x7aff_d09c_1f53_f5fd, + 0x2a32_ec5c_4ee5_b183, + ]), + ], + [ + vesta::Base::from_raw([ + 0x2d8c_cbe2_92ef_eead, + 0x634d_24fc_6e25_59f2, + 0x651e_2cfc_7406_28ca, + 0x2703_26ee_039d_f19e, + ]), + vesta::Base::from_raw([ + 0xa068_fc37_c182_e274, + 0x8af8_95bc_e012_f182, + 0xdc10_0fe7_fcfa_5491, + 0x27c6_642a_c633_bc66, + ]), + vesta::Base::from_raw([ + 0x9ca1_8682_e26d_7ff9, + 0x710e_1fb6_ab97_6a45, + 0xd27f_5739_6989_129d, + 0x1bdf_d8b0_1401_c70a, + ]), + ], + [ + vesta::Base::from_raw([ + 0xc832_d824_261a_35ea, + 0xf4f6_fb3f_9054_d373, + 0x14b9_d6a9_c84d_d678, + 0x162a_14c6_2f9a_89b8, + ]), + vesta::Base::from_raw([ + 0xf798_2466_7b5b_6bec, + 0xac0a_1fc7_1e2c_f0c0, + 0x2af6_f79e_3127_feea, + 0x2d19_3e0f_76de_586b, + ]), + vesta::Base::from_raw([ + 0x5d0b_f58d_c8a4_aa94, + 0x4fef_f829_8499_0ff8, + 0x8169_6ef1_104e_674f, + 0x044c_a3cc_4a85_d73b, + ]), + ], + [ + vesta::Base::from_raw([ + 0x6198_785f_0cd6_b9af, + 0xb8d9_e2d4_f314_f46f, + 0x1d04_5341_6d3e_235c, + 0x1cba_f2b3_71da_c6a8, + ]), + vesta::Base::from_raw([ + 0x343e_0761_0f3f_ede5, + 0x293c_4ab0_38fd_bbdc, + 0x0e6c_49d0_61b6_b5f4, + 0x1d5b_2777_692c_205b, + ]), + vesta::Base::from_raw([ + 0xf60e_971b_8d73_b04f, + 0x06a9_adb0_c1e6_f962, + 0xaa30_535b_dd74_9a7e, + 0x2e9b_dbba_3dd3_4bff, + ]), + ], + [ + vesta::Base::from_raw([ + 0x035a_1366_1f22_418b, + 0xde40_fbe2_6d04_7b05, + 0x8bd5_bae3_6969_299f, + 0x2de1_1886_b180_11ca, + ]), + vesta::Base::from_raw([ + 0xbc99_8884_ba96_a721, + 0x2ab9_395c_449b_e947, + 0x0d5b_4a3f_1841_dcd8, + 0x2e07_de17_80b8_a70d, + ]), + vesta::Base::from_raw([ + 0x825e_4c2b_b749_25ca, + 0x2504_40a9_9d6b_8af3, + 0xbbdb_63db_d52d_ad16, + 0x0f69_f185_4d20_ca0c, + ]), + ], + [ + vesta::Base::from_raw([ + 0x816c_0594_22dc_705e, + 0x6ce5_1135_07f9_6de9, + 0x0d13_5dc6_39fb_09a4, + 0x2eb1_b254_17fe_1767, + ]), + vesta::Base::from_raw([ + 0xb8b1_bdf4_953b_d82c, + 0xff36_c661_d26c_c42d, + 0x8c24_cb44_c3fa_b48a, + 0x115c_d0a0_643c_fb98, + ]), + vesta::Base::from_raw([ + 0xde80_1612_311d_04cd, + 0xbb57_ddf1_4e0f_958a, + 0x066d_7378_b999_868b, + 0x26ca_293f_7b2c_462d, + ]), + ], + [ + vesta::Base::from_raw([ + 0xf520_9d14_b248_20ca, + 0x0f16_0bf9_f71e_967f, + 0x2a83_0aa1_6241_2cd9, + 0x17bf_1b93_c4c7_e01a, + ]), + vesta::Base::from_raw([ + 0x05c8_6f2e_7dc2_93c5, + 0xe03c_0354_bd8c_fd38, + 0xa24f_8456_369c_85df, + 0x35b4_1a7a_c4f3_c571, + ]), + vesta::Base::from_raw([ + 0x72ac_156a_f435_d09e, + 0x64e1_4d3b_eb2d_ddde, + 0x4359_2799_4849_bea9, + 0x3b14_8008_0523_c439, + ]), + ], + [ + vesta::Base::from_raw([ + 0x2716_18d8_74b1_4c6d, + 0x08e2_8644_2a2d_3eb2, + 0x4950_856d_c907_d575, + 0x2cc6_8100_31dc_1b0d, + ]), + vesta::Base::from_raw([ + 0x91f3_18c0_9f0c_b566, + 0x9e51_7aa9_3b78_341d, + 0x0596_18e2_afd2_ef99, + 0x25bd_bbed_a1bd_e8c1, + ]), + vesta::Base::from_raw([ + 0xc631_3487_073f_7f7b, + 0x2a5e_d0a2_7b61_926c, + 0xb95f_33c2_5dde_8ac0, + 0x392a_4a87_58e0_6ee8, + ]), + ], + [ + vesta::Base::from_raw([ + 0xe7bb_cef0_2eb5_866c, + 0x5e6a_6fd1_5db8_9365, + 0x9aa6_111f_4de0_0948, + 0x272a_5587_8a08_442b, + ]), + vesta::Base::from_raw([ + 0x9b92_5b3c_5b21_e0e2, + 0xa6eb_ba01_1694_dd12, + 0xefa1_3c4e_60e2_6239, + 0x2d5b_308b_0cf0_2cdf, + ]), + vesta::Base::from_raw([ + 0xef38_c57c_3116_73ac, + 0x44df_f42f_18b4_6c56, + 0xdd5d_293d_72e2_e5f2, + 0x1654_9fc6_af2f_3b72, + ]), + ], + [ + vesta::Base::from_raw([ + 0x9b71_26d9_b468_60df, + 0x7639_8265_3442_0311, + 0xfa69_c3a2_ad52_f76d, + 0x1b10_bb7a_82af_ce39, + ]), + vesta::Base::from_raw([ + 0x90d2_7f6a_00b7_dfc8, + 0xd1b3_6968_ba04_05c0, + 0xc79c_2df7_dc98_a3be, + 0x0f1e_7505_ebd9_1d2f, + ]), + vesta::Base::from_raw([ + 0xff45_7756_b819_bb20, + 0x797f_d6e3_f18e_b1ca, + 0x537a_7497_a3b4_3f46, + 0x2f31_3faf_0d3f_6187, + ]), + ], + [ + vesta::Base::from_raw([ + 0xf0bc_3e73_2ecb_26f6, + 0x5cad_11eb_f0f7_ceb8, + 0xfa3c_a61c_0ed1_5bc5, + 0x3a5c_bb6d_e450_b481, + ]), + vesta::Base::from_raw([ + 0x8655_27cb_ca91_5982, + 0x51ba_a6e2_0f89_2b62, + 0xd920_86e2_53b4_39d6, + 0x3dab_54bc_9bef_688d, + ]), + vesta::Base::from_raw([ + 0x3680_45ac_f2b7_1ae3, + 0x4c24_b33b_410f_efd4, + 0xe280_d316_7012_3f74, + 0x06db_fb42_b979_884d, + ]), + ], + [ + vesta::Base::from_raw([ + 0xa7fc_32d2_2f18_b9d3, + 0xb8d2_de72_e3d2_c9ec, + 0xc6f0_39ea_1973_a63e, + 0x068d_6b46_08aa_e810, + ]), + vesta::Base::from_raw([ + 0x2b5d_fcc5_5725_55df, + 0xb868_a7d7_e1f1_f69a, + 0x0ee2_58c9_b8fd_fccd, + 0x366e_bfaf_a3ad_381c, + ]), + vesta::Base::from_raw([ + 0xe6bc_229e_95bc_76b1, + 0x7ef6_6d89_d044_d022, + 0x04db_3024_f41d_3f56, + 0x3967_8f65_512f_1ee4, + ]), + ], + [ + vesta::Base::from_raw([ + 0xe534_c88f_e53d_85fe, + 0xcf82_c25f_99dc_01a4, + 0xd58b_7750_a3bc_2fe1, + 0x2166_8f01_6a80_63c0, + ]), + vesta::Base::from_raw([ + 0x4bef_429b_c533_1608, + 0xe34d_ea56_439f_e195, + 0x1bc7_4936_3e98_a768, + 0x39d0_0994_a8a5_046a, + ]), + vesta::Base::from_raw([ + 0x770c_956f_60d8_81b3, + 0xb163_d416_05d3_9f99, + 0x6b20_3bbe_12fb_3425, + 0x1f9d_bdc3_f843_1263, + ]), + ], + [ + vesta::Base::from_raw([ + 0x9794_a9f7_c336_eab2, + 0xbe0b_c829_fe5e_66c6, + 0xe5f1_7b9e_0ee0_cab6, + 0x0277_45a9_cddf_ad95, + ]), + vesta::Base::from_raw([ + 0x5202_5657_abd8_aee0, + 0x2fa4_3fe2_0a45_c78d, + 0x788d_695c_61e9_3212, + 0x1cec_0803_c504_b635, + ]), + vesta::Base::from_raw([ + 0xd387_2a95_59a0_3a73, + 0xed50_82c8_dbf3_1365, + 0x7207_7448_ef87_cc6e, + 0x1235_23d7_5e9f_abc1, + ]), + ], + [ + vesta::Base::from_raw([ + 0x0017_79e3_a1d3_57f4, + 0x27fe_ba35_975e_e7e5, + 0xf419_b848_e5d6_94bf, + 0x1723_d145_2c9c_f02d, + ]), + vesta::Base::from_raw([ + 0x9dab_1ee4_dcf9_6622, + 0x21c3_f776_f572_836d, + 0xfcc0_573d_7e61_3694, + 0x1739_d180_a160_10bd, + ]), + vesta::Base::from_raw([ + 0x7029_0452_042d_048d, + 0xfafa_96fb_eb0a_b893, + 0xacce_3239_1794_b627, + 0x2d4e_6354_da9c_c554, + ]), + ], + [ + vesta::Base::from_raw([ + 0x670b_cf6f_8b48_5dcd, + 0x8f3b_d43f_9926_0621, + 0x4a86_9553_c9d0_07f8, + 0x153e_e614_2e53_5e33, + ]), + vesta::Base::from_raw([ + 0xd258_d2e2_b778_2172, + 0x968a_d442_4af8_3700, + 0x635e_f7e7_a430_b486, + 0x0c45_bfd3_a69a_aa65, + ]), + vesta::Base::from_raw([ + 0x0e56_33d2_51f7_3307, + 0x6897_ac0a_8ffa_5ff1, + 0xf2d5_6aec_8314_4600, + 0x0adf_d53b_256a_6957, + ]), + ], + [ + vesta::Base::from_raw([ + 0xac9d_36a8_b751_6d63, + 0x3f87_b28f_1c1b_e4bd, + 0x8cd1_726b_7cba_b8ee, + 0x315d_2ac8_ebdb_ac3c, + ]), + vesta::Base::from_raw([ + 0x299c_e44e_a423_d8e1, + 0xc9bb_60d1_f695_9879, + 0xcfae_c23d_2b16_883f, + 0x1b84_7271_2d02_eef4, + ]), + vesta::Base::from_raw([ + 0xc4a5_4041_98ad_f70c, + 0x367d_2c54_e369_28c9, + 0xbd0b_70fa_2255_eb6f, + 0x3c1c_d07e_fda6_ff24, + ]), + ], + [ + vesta::Base::from_raw([ + 0xbbe5_23ae_f9ab_107a, + 0x4a16_073f_738f_7e0c, + 0x687f_4e51_b2e1_dcd3, + 0x1360_52d2_6bb3_d373, + ]), + vesta::Base::from_raw([ + 0x676c_36c2_4ef9_67dd, + 0x7b3c_fbb8_7303_2681, + 0xc1bd_d859_a123_2a1d, + 0x16c9_6bee_f6a0_a848, + ]), + vesta::Base::from_raw([ + 0x067e_ec7f_2d63_40c4, + 0x0123_87ba_b4f1_662d, + 0x2ab7_fed8_f499_a9fb, + 0x284b_38c5_7ff6_5c26, + ]), + ], + [ + vesta::Base::from_raw([ + 0xaf1d_ff20_4c92_2f86, + 0xfc06_772c_1c04_11a6, + 0x39e2_4219_8897_d17c, + 0x0c59_93d1_75e8_1f66, + ]), + vesta::Base::from_raw([ + 0xbbf5_3f67_b1f8_7b15, + 0xf248_87ad_48e1_7759, + 0xfcda_655d_1ba9_c8f9, + 0x03bf_7a3f_7bd0_43da, + ]), + vesta::Base::from_raw([ + 0x9b5c_d09e_36d8_be62, + 0x4c8f_9cbe_69f0_e827, + 0xb0cf_9995_67f0_0e73, + 0x3188_fe4e_e9f9_fafb, + ]), + ], + [ + vesta::Base::from_raw([ + 0xafea_99a2_ec6c_595a, + 0x3af5_bf77_c1c4_2652, + 0x5a39_768c_480d_61e1, + 0x171f_528c_cf65_8437, + ]), + vesta::Base::from_raw([ + 0x5a05_63b9_b8e9_f1d5, + 0x812c_3286_ee70_0067, + 0x196e_4185_9b35_ef88, + 0x12f4_175c_4ab4_5afc, + ]), + vesta::Base::from_raw([ + 0x0e74_d4d3_6911_8b79, + 0x7e23_e1aa_be96_cfab, + 0x8f8f_dcf8_00a9_ac69, + 0x3a50_9e15_5cb7_ebfd, + ]), + ], + [ + vesta::Base::from_raw([ + 0x9871_2c65_678c_fd30, + 0x984b_c8f2_e4c1_b69e, + 0x1a89_920e_2504_c3b3, + 0x10f2_a685_df4a_27c8, + ]), + vesta::Base::from_raw([ + 0xe8a1_6728_cc9d_4918, + 0x5457_3c93_33c5_6321, + 0x1d8d_93d5_4ab9_1a0e, + 0x09e5_f497_90c8_a0e2, + ]), + vesta::Base::from_raw([ + 0x609a_7403_47cf_5fea, + 0x42d1_7ed6_ee0f_ab7e, + 0x2bf3_5705_d9f8_4a34, + 0x352d_69be_d80e_e3e5, + ]), + ], + [ + vesta::Base::from_raw([ + 0x3a75_8af6_fa84_e0e8, + 0xc634_debd_281b_76a6, + 0x4915_62fa_f2b1_90d3, + 0x058e_e73b_a9f3_f293, + ]), + vesta::Base::from_raw([ + 0x621a_1325_10a4_3904, + 0x092c_b921_19bc_76be, + 0xcd0f_1fc5_5b1a_3250, + 0x232f_99cc_911e_ddd9, + ]), + vesta::Base::from_raw([ + 0xc3b9_7c1e_301b_c213, + 0xf9ef_d52c_a6bc_2961, + 0x86c2_2c6c_5d48_69f0, + 0x201b_eed7_b8f3_ab81, + ]), + ], + [ + vesta::Base::from_raw([ + 0xbf6b_3431_ba94_e9bc, + 0x2938_8842_744a_1210, + 0xa1c9_291d_5860_2f51, + 0x1376_dce6_5800_30c6, + ]), + vesta::Base::from_raw([ + 0x6454_843c_5486_d7b3, + 0x072b_a8b0_2d92_e722, + 0x2b33_56c3_8238_f761, + 0x1793_199e_6fd6_ba34, + ]), + vesta::Base::from_raw([ + 0x06a3_f1d3_b433_311b, + 0x3c66_160d_c62a_acac, + 0x9fee_9c20_c87a_67df, + 0x22de_7a74_88dc_c735, + ]), + ], + [ + vesta::Base::from_raw([ + 0x30d6_e3fd_516b_47a8, + 0xdbe0_b77f_ae77_e1d0, + 0xdf8f_f37f_e2d8_edf8, + 0x3514_d5e9_066b_b160, + ]), + vesta::Base::from_raw([ + 0x1937_7427_137a_81c7, + 0xff45_3d6f_900f_144a, + 0xf919_a00d_abbf_5fa5, + 0x30cd_3006_931a_d636, + ]), + vesta::Base::from_raw([ + 0x5b6a_7422_0692_b506, + 0x8f9e_4b2c_ae2e_bb51, + 0x41f8_1a5c_f613_c8df, + 0x253d_1a5c_5293_4127, + ]), + ], + [ + vesta::Base::from_raw([ + 0x73f6_66cb_86a4_8e8e, + 0x851b_3a59_c990_fafc, + 0xa35e_9613_e7f5_fe92, + 0x035b_461c_02d7_9d19, + ]), + vesta::Base::from_raw([ + 0x7cfb_f86a_3aa0_4780, + 0x92b1_283c_2d5f_ccde, + 0x5bc0_0eed_d56b_93e0, + 0x23a9_9280_79d1_75bd, + ]), + vesta::Base::from_raw([ + 0xf1e4_ccd7_3fa0_0a82, + 0xb5e2_ea34_36ee_f957, + 0xf159_4a07_63c6_11ab, + 0x13a7_785a_e134_ea92, + ]), + ], + [ + vesta::Base::from_raw([ + 0xbbf0_4f52_52de_4279, + 0x3889_c578_6344_6d88, + 0x4962_ae3c_0da1_7e31, + 0x39fc_e308_b7d4_3c57, + ]), + vesta::Base::from_raw([ + 0x3b57_e344_89b5_3fad, + 0xbef0_0a08_c6ed_38d2, + 0xc0fd_f016_62f6_0d22, + 0x1aae_1883_3f8e_1d3a, + ]), + vesta::Base::from_raw([ + 0x5551_3e03_3398_513f, + 0x27c1_b3fd_8f85_d8a8, + 0x8b2e_80c0_64fd_83ed, + 0x1a76_1ce8_2400_af01, + ]), + ], + [ + vesta::Base::from_raw([ + 0x5244_ca74_9b73_e481, + 0xdcf6_af28_30a5_0287, + 0x16dd_1a87_ca22_e1cc, + 0x275a_03e4_5add_a7c3, + ]), + vesta::Base::from_raw([ + 0x58a2_53cf_b6a9_5786, + 0x07e5_6145_3fc5_648b, + 0xeb08_e47e_5fea_bcf8, + 0x2e5a_10f0_8b5a_b8bb, + ]), + vesta::Base::from_raw([ + 0xe033_d82c_efe7_8ce3, + 0xc141_a5b6_d594_bec4, + 0xb84e_9c33_3b29_32f1, + 0x1459_cb85_8720_8473, + ]), + ], + [ + vesta::Base::from_raw([ + 0x5cec_7e7b_338f_be1b, + 0x52f9_332f_bffc_fbbd, + 0x7b92_ce81_0e14_a400, + 0x193a_e592_1d78_b5de, + ]), + vesta::Base::from_raw([ + 0x6022_4be6_7248_e82c, + 0x3743_84f4_a072_8205, + 0x8911_1fb2_c466_0281, + 0x3097_898a_5d00_11a4, + ]), + vesta::Base::from_raw([ + 0x5499_80de_8629_30f5, + 0x1979_b2d1_c465_b4d9, + 0x5717_82fd_96ce_54b4, + 0x378d_97bf_8c86_4ae7, + ]), + ], + [ + vesta::Base::from_raw([ + 0x37ea_32a9_71d1_7884, + 0xdbc7_f5cb_4609_3421, + 0x8813_6287_ce37_6b08, + 0x2eb0_4ea7_c01d_97ec, + ]), + vesta::Base::from_raw([ + 0xead3_726f_1af2_e7b0, + 0x861c_bda4_7680_4e6c, + 0x2302_a1c2_2e49_baec, + 0x3642_5347_ea03_f641, + ]), + vesta::Base::from_raw([ + 0xecd6_27e5_9590_d09e, + 0x3f5b_5ca5_a19a_9701, + 0xcc99_6cd8_5c98_a1d8, + 0x26b7_2df4_7408_ad42, + ]), + ], + [ + vesta::Base::from_raw([ + 0x59be_ce31_f0a3_1e95, + 0xde01_212e_e458_8f89, + 0x1f05_636c_610b_89aa, + 0x1301_80e4_4e29_24db, + ]), + vesta::Base::from_raw([ + 0x9ea8_e7bc_7926_3550, + 0xdf77_93cc_89e5_b52f, + 0x7327_5aca_ed5f_579c, + 0x219e_9773_7d39_79ba, + ]), + vesta::Base::from_raw([ + 0x9c12_635d_f251_d153, + 0x3b06_72dd_7d42_cbb4, + 0x3461_363f_81c4_89a2, + 0x3cdb_9359_8a5c_a528, + ]), + ], + [ + vesta::Base::from_raw([ + 0x2861_ce16_f219_d5a9, + 0x4ad0_4470_45a7_c5aa, + 0x2072_4b92_7a0c_a81c, + 0x0e59_e6f3_32d7_ed37, + ]), + vesta::Base::from_raw([ + 0x43b0_a3fc_ff20_36bd, + 0x172c_c07b_9d33_fbf9, + 0x3d73_6946_7222_697a, + 0x1b06_4342_d51a_4275, + ]), + vesta::Base::from_raw([ + 0x3eb3_1022_8a0e_5f6c, + 0x78fa_9fb9_1712_21b7, + 0x2f36_3c55_b288_2e0b, + 0x30b8_2a99_8cbd_8e8a, + ]), + ], + [ + vesta::Base::from_raw([ + 0xe46f_6d42_9874_0107, + 0x8ad7_1ea7_15be_0573, + 0x63df_7a76_e858_a4aa, + 0x23e4_ab37_183a_cba4, + ]), + vesta::Base::from_raw([ + 0xfca9_95e2_b599_14a1, + 0xacfe_1464_0de0_44f2, + 0x5d33_094e_0bed_a75b, + 0x2795_d5c5_fa42_8022, + ]), + vesta::Base::from_raw([ + 0xc26d_909d_ee8b_53c0, + 0xa668_7c3d_f16c_8fe4, + 0xd765_f26d_d03f_4c45, + 0x3001_ca40_1e89_601c, + ]), + ], + [ + vesta::Base::from_raw([ + 0xe7fe_a6bd_f347_1380, + 0xe84b_5beb_ae4e_501d, + 0xf7bf_86e8_9280_827f, + 0x0072_e45c_c676_b08e, + ]), + vesta::Base::from_raw([ + 0xd0c5_4dde_b26b_86c0, + 0xb648_29e2_d40e_41bd, + 0xe2ab_e4c5_18ce_599e, + 0x13de_7054_8487_4bb5, + ]), + vesta::Base::from_raw([ + 0x3891_5b43_2a99_59a5, + 0x82bb_18e5_af1b_05bb, + 0x3159_50f1_211d_efe8, + 0x0408_a9fc_f9d6_1abf, + ]), + ], + [ + vesta::Base::from_raw([ + 0x3407_0cbe_e268_86a0, + 0xae4d_23b0_b41b_e9a8, + 0xbb4e_4a14_00cc_d2c4, + 0x2780_b9e7_5b55_676e, + ]), + vesta::Base::from_raw([ + 0x9405_5920_98b4_056f, + 0xdc4d_8fbe_fe24_405a, + 0xf803_33ec_8563_4ac9, + 0x3a57_0d4d_7c4e_7ac3, + ]), + vesta::Base::from_raw([ + 0x78d2_b247_8995_20b4, + 0xe2cc_1507_bebd_cc62, + 0xf347_c247_fcf0_9294, + 0x0c13_cca7_cb1f_9d2c, + ]), + ], + [ + vesta::Base::from_raw([ + 0x2e8c_88f7_7074_70e0, + 0x0b50_bb2e_b82d_f74d, + 0xd261_4a19_7c6b_794b, + 0x14f5_9baa_03cd_0ca4, + ]), + vesta::Base::from_raw([ + 0xbe52_476e_0a16_f3be, + 0xa51d_54ed_e661_67f5, + 0x6f54_6e17_04c3_9c60, + 0x307d_efee_925d_fb43, + ]), + vesta::Base::from_raw([ + 0x380b_67d8_0473_dce3, + 0x6611_0683_6adf_e5e7, + 0x7a07_e767_4b5a_2621, + 0x1960_cd51_1a91_e060, + ]), + ], + [ + vesta::Base::from_raw([ + 0x15aa_f1f7_7125_89dd, + 0xb8ee_335d_8828_4cbe, + 0xca2a_d0fb_5667_2500, + 0x2301_ef9c_63ea_84c5, + ]), + vesta::Base::from_raw([ + 0x5e68_478c_4d60_27a9, + 0xc861_82d1_b424_6b58, + 0xd10f_4cd5_2be9_7f6b, + 0x029a_5a47_da79_a488, + ]), + vesta::Base::from_raw([ + 0x2cc4_f962_eaae_2260, + 0xf97f_e46b_6a92_5428, + 0x2360_d17d_890e_55cb, + 0x32d7_b16a_7f11_cc96, + ]), + ], + [ + vesta::Base::from_raw([ + 0xc0ca_b915_d536_3d9f, + 0xa5f2_404c_d7b3_5eb0, + 0x18e8_57a9_8d49_8cf7, + 0x2670_3e48_c03b_81ca, + ]), + vesta::Base::from_raw([ + 0xf691_123a_e112_b928, + 0xf443_88bd_6b89_221e, + 0x88ac_8d25_a246_03f1, + 0x0486_82a3_5b32_65bc, + ]), + vesta::Base::from_raw([ + 0x3ab7_defc_b8d8_03e2, + 0x91d6_e171_5164_775e, + 0xd72c_ddc6_cf06_b507, + 0x06b1_3904_41fa_7030, + ]), + ], + [ + vesta::Base::from_raw([ + 0xbcd7_9541_4a6e_2e86, + 0x43b3_60f6_386a_86d7, + 0x1689_426d_ce05_fcd8, + 0x31aa_0eeb_868c_626d, + ]), + vesta::Base::from_raw([ + 0xed77_f5d5_76b9_9cc3, + 0x90ef_d8f4_1b20_78b2, + 0x057a_bad3_764c_104b, + 0x2394_64f7_5bf7_b6af, + ]), + vesta::Base::from_raw([ + 0xb2cb_4873_07c1_cecf, + 0xa5cc_47c5_9654_b2a7, + 0xa45e_19ed_813a_54ab, + 0x0a64_d4c0_4fd4_26bd, + ]), + ], + [ + vesta::Base::from_raw([ + 0x1f73_1532_2f65_8735, + 0x777c_7a92_1a06_2e9d, + 0x576a_4ad2_5986_0fb1, + 0x21fb_bdbb_7367_0734, + ]), + vesta::Base::from_raw([ + 0x6743_2400_3fc5_2146, + 0x5b86_d294_63d3_1564, + 0xd937_1ca2_eb95_acf3, + 0x31b8_6f3c_f017_05d4, + ]), + vesta::Base::from_raw([ + 0x7045_f48a_a4eb_4f6f, + 0x1354_1d65_157e_e1ce, + 0x05ef_1736_d090_56f6, + 0x2bfd_e533_5437_7c91, + ]), + ], + [ + vesta::Base::from_raw([ + 0x5a13_a58d_2001_1e2f, + 0xf4d5_239c_11d0_eafa, + 0xd558_f36e_65f8_eca7, + 0x1233_ca93_6ec2_4671, + ]), + vesta::Base::from_raw([ + 0x6e70_af0a_7a92_4b3a, + 0x8780_58d0_234a_576f, + 0xc437_846d_8e0b_2b30, + 0x27d4_52a4_3ac7_dea2, + ]), + vesta::Base::from_raw([ + 0xa025_76b9_4392_f980, + 0x6a30_641a_1c3d_87b2, + 0xe816_ea8d_a493_e0fa, + 0x2699_dba8_2184_e413, + ]), + ], + [ + vesta::Base::from_raw([ + 0x608c_6f7a_61b5_6e55, + 0xf185_8466_4f8c_ab49, + 0xc398_8bae_e42e_4b10, + 0x36c7_22f0_efcc_8803, + ]), + vesta::Base::from_raw([ + 0x6e49_ac17_0dbb_7fcd, + 0x85c3_8899_a7b5_a833, + 0x08b0_f2ec_89cc_aa37, + 0x02b3_ff48_861e_339b, + ]), + vesta::Base::from_raw([ + 0xa8c5_ae03_ad98_e405, + 0x6fc3_ff4c_49eb_59ad, + 0x6016_2f44_27bc_657b, + 0x0b70_d061_d58d_8a7f, + ]), + ], + [ + vesta::Base::from_raw([ + 0x2e06_cc4a_f33b_0a06, + 0xad3d_e8be_46ed_9693, + 0xf875_3ade_b9d7_cee2, + 0x3fc2_a13f_127f_96a4, + ]), + vesta::Base::from_raw([ + 0xc120_80ac_117e_e15f, + 0x00cb_3d62_1e17_1d80, + 0x1bd6_3434_ac8c_419f, + 0x0c41_a6e4_8dd2_3a51, + ]), + vesta::Base::from_raw([ + 0x9685_213e_9692_f5e1, + 0x72aa_ad7e_4e75_339d, + 0xed44_7653_7169_084e, + 0x2de8_072a_6bd8_6884, + ]), + ], + [ + vesta::Base::from_raw([ + 0x0ad0_1184_567b_027c, + 0xb81c_f735_cc9c_39c0, + 0x9d34_96a3_d9fe_05ec, + 0x0355_7a8f_7b38_a17f, + ]), + vesta::Base::from_raw([ + 0x45bc_b5ac_0082_6abc, + 0x060f_4336_3d81_8e54, + 0xee97_6d34_282f_1a37, + 0x0b5f_5955_2f49_8735, + ]), + vesta::Base::from_raw([ + 0x2f29_09e1_7e22_b0df, + 0xf5d6_46e5_7507_e548, + 0xfedb_b185_70dc_7300, + 0x0e29_23a5_fee7_b878, + ]), + ], + [ + vesta::Base::from_raw([ + 0xf71e_ed73_f15b_3326, + 0xcf1c_b37c_3b03_2af6, + 0xc787_be97_020a_7fdd, + 0x1d78_5005_a7a0_0592, + ]), + vesta::Base::from_raw([ + 0x0acf_bfb2_23f8_f00d, + 0xa590_b88a_3b06_0294, + 0x0ba5_fedc_b8f2_5bd2, + 0x1ad7_72c2_73d9_c6df, + ]), + vesta::Base::from_raw([ + 0xc1ce_13d6_0f2f_5031, + 0x8105_10eb_61f0_672d, + 0xa78f_3275_c278_234b, + 0x027b_d647_85fc_bd2a, + ]), + ], + [ + vesta::Base::from_raw([ + 0x8337_f5e0_7923_a853, + 0xe224_3134_6945_7b8e, + 0xce6f_8ffe_a103_1b6d, + 0x2080_0f44_1b4a_0526, + ]), + vesta::Base::from_raw([ + 0xa33d_7bed_89a4_408a, + 0x36cd_c8ee_d662_ad37, + 0x6eea_2cd4_9f43_12b4, + 0x3d5a_d61d_7b65_f938, + ]), + vesta::Base::from_raw([ + 0x3bbb_ae94_cc19_5284, + 0x1df9_6cc0_3ea4_b26d, + 0x02c5_f91b_e4dd_8e3d, + 0x1333_8bc3_51fc_46dd, + ]), + ], + [ + vesta::Base::from_raw([ + 0xc527_1c29_7852_819e, + 0x646c_49f9_b46c_bf19, + 0xb87d_b1e2_af3e_a923, + 0x25e5_2be5_07c9_2760, + ]), + vesta::Base::from_raw([ + 0x5c38_0ab7_01b5_2ea9, + 0xa34c_83a3_485c_6b2d, + 0x7109_6d8b_1b98_3c98, + 0x1c49_2d64_c157_aaa4, + ]), + vesta::Base::from_raw([ + 0xa20c_0b3d_a0da_4ca3, + 0xd434_87bc_288d_f682, + 0xf4e6_c5e7_a573_f592, + 0x0c5b_8015_7999_2718, + ]), + ], + [ + vesta::Base::from_raw([ + 0x7ea3_3c93_e408_33cf, + 0x584e_9e62_a7f9_554e, + 0x6869_5c0c_d7cb_f43d, + 0x1090_b1b4_d2be_be7a, + ]), + vesta::Base::from_raw([ + 0xe383_e1ec_3baa_8d69, + 0x1b21_8e35_ecf2_328e, + 0x68f5_ce5c_bed1_9cad, + 0x33e3_8018_a801_387a, + ]), + vesta::Base::from_raw([ + 0xb76b_0b3d_787e_e953, + 0x5f4a_02d2_8729_e3ae, + 0xeef8_d83d_0e87_6bac, + 0x1654_af18_772b_2da5, + ]), + ], + [ + vesta::Base::from_raw([ + 0xef7c_e6a0_1326_5477, + 0xbb08_9387_0367_ec6c, + 0x4474_2de8_8c5a_b0d5, + 0x1678_be3c_c9c6_7993, + ]), + vesta::Base::from_raw([ + 0xaf5d_4789_3348_f766, + 0xdaf1_8183_55b1_3b4f, + 0x7ff9_c6be_546e_928a, + 0x3780_bd1e_01f3_4c22, + ]), + vesta::Base::from_raw([ + 0xa123_8032_0d7c_c1de, + 0x5d11_e69a_a6c0_b98c, + 0x0786_018e_7cb7_7267, + 0x1e83_d631_5c9f_125b, + ]), + ], + [ + vesta::Base::from_raw([ + 0x1799_603e_855c_e731, + 0xc486_894d_76e0_c33b, + 0x160b_4155_2f29_31c8, + 0x354a_fd0a_2f9d_0b26, + ]), + vesta::Base::from_raw([ + 0x8b99_7ee0_6be1_bff3, + 0x60b0_0dbe_1fac_ed07, + 0x2d8a_ffa6_2905_c5a5, + 0x00cd_6d29_f166_eadc, + ]), + vesta::Base::from_raw([ + 0x08d0_6419_1708_2f2c, + 0xc60d_0197_3f18_3057, + 0xdbe0_e3d7_cdbc_66ef, + 0x1d62_1935_2768_e3ae, + ]), + ], + [ + vesta::Base::from_raw([ + 0xfa08_dd98_0638_7577, + 0xafe3_ca1d_b8d4_f529, + 0xe48d_2370_d7d1_a142, + 0x1463_36e2_5db5_181d, + ]), + vesta::Base::from_raw([ + 0xa901_d3ce_84de_0ad4, + 0x022e_54b4_9c13_d907, + 0x997a_2116_3e2e_43df, + 0x0005_d8e0_85fd_72ee, + ]), + vesta::Base::from_raw([ + 0x1c36_f313_4196_4484, + 0x6f8e_bc1d_2296_021a, + 0x0dd5_e61c_8a4e_8642, + 0x364e_97c7_a389_3227, + ]), + ], + [ + vesta::Base::from_raw([ + 0xd7a0_0c03_d2e0_baaa, + 0xfa97_ec80_ad30_7a52, + 0x561c_6fff_1534_6878, + 0x0118_9910_671b_c16b, + ]), + vesta::Base::from_raw([ + 0x63fd_8ac5_7a95_ca8c, + 0x4c0f_7e00_1df4_90aa, + 0x5229_dfaa_0123_1a45, + 0x162a_7c80_f4d2_d12e, + ]), + vesta::Base::from_raw([ + 0x32e6_9efb_22f4_0b96, + 0xcaff_31b4_fda3_2124, + 0x2604_e4af_b09f_8603, + 0x2a0d_6c09_5766_66bb, + ]), + ], + [ + vesta::Base::from_raw([ + 0xc0a0_180f_8cbf_c0d2, + 0xf444_d10d_63a7_4e2c, + 0xe16a_4d60_3d5a_808e, + 0x0978_e5c5_1e1e_5649, + ]), + vesta::Base::from_raw([ + 0x03f4_460e_bc35_1b6e, + 0x0508_7d90_3bda_cfd1, + 0xebe1_9bbd_ce25_1011, + 0x1bdc_ee3a_aca9_cd25, + ]), + vesta::Base::from_raw([ + 0xf619_64bf_3ade_7670, + 0x0c94_7321_e007_5e3f, + 0xe494_7914_0b19_44fd, + 0x1862_cccb_70b5_b885, + ]), + ], + [ + vesta::Base::from_raw([ + 0xc326_7da6_e94a_dc50, + 0x39ee_99c1_cc6e_5dda, + 0xbc26_cc88_3a19_87e1, + 0x1f3e_91d8_63c1_6922, + ]), + vesta::Base::from_raw([ + 0x0f85_b4ac_2c36_7406, + 0xfa66_1465_c656_ad99, + 0xef5c_08f8_478f_663a, + 0x1af4_7a48_a601_6a49, + ]), + vesta::Base::from_raw([ + 0x0eab_cd87_e7d0_1b15, + 0x1c36_98b0_a2e3_da10, + 0x009d_5733_8c69_3505, + 0x3c8e_e901_956e_3d3f, + ]), + ], + [ + vesta::Base::from_raw([ + 0x8b94_7721_8967_3476, + 0xe10c_e2b7_069f_4dbd, + 0x68d0_b024_f591_b520, + 0x1660_a8cd_e7fe_c553, + ]), + vesta::Base::from_raw([ + 0x9d8d_0f67_fdaa_79d5, + 0x3963_c2c1_f558_6e2f, + 0x1303_9363_34dd_1132, + 0x0f6d_9919_29d5_e4e7, + ]), + vesta::Base::from_raw([ + 0x7a43_3091_e1ce_2d3a, + 0x4e7f_da77_0712_f343, + 0xcc62_5eaa_ab52_b4dc, + 0x02b9_cea1_921c_d9f6, + ]), + ], + [ + vesta::Base::from_raw([ + 0x3797_b2d8_3760_43b3, + 0xd8ca_f468_976f_0472, + 0x214f_7c67_84ac_b565, + 0x14a3_23b9_9b90_0331, + ]), + vesta::Base::from_raw([ + 0x347f_ef2c_00f0_953a, + 0x718b_7fbc_7788_af78, + 0xec01_ea79_642d_5760, + 0x1904_76b5_80cb_9277, + ]), + vesta::Base::from_raw([ + 0xff4e_7e6f_b268_dfd7, + 0x9660_902b_6008_7651, + 0xa424_63d3_0b44_2b6f, + 0x090a_3a9d_869d_2eef, + ]), + ], + [ + vesta::Base::from_raw([ + 0xf983_387e_a045_6203, + 0xe365_0013_04f9_a11e, + 0x0dbe_8fd2_270a_6795, + 0x3877_a955_8636_7567, + ]), + vesta::Base::from_raw([ + 0x39c0_af0f_e01f_4a06, + 0x6011_8c53_a218_1352, + 0x5df3_9a2c_c63d_dc0a, + 0x2d89_4691_240f_e953, + ]), + vesta::Base::from_raw([ + 0x1aca_9eaf_9bba_9850, + 0x5914_e855_eeb4_4aa1, + 0x7ef7_1780_2016_6189, + 0x21b9_c182_92bd_bc59, + ]), + ], + [ + vesta::Base::from_raw([ + 0x33f5_09a7_4ad9_d39b, + 0x272e_1cc6_c36a_2968, + 0x505a_05f2_a6ae_834c, + 0x2fe7_6be7_cff7_23e2, + ]), + vesta::Base::from_raw([ + 0x0df9_fa97_277f_a8b4, + 0xd15b_ff84_0dda_e8a5, + 0x9299_81d7_cfce_253b, + 0x187a_a448_f391_e3ca, + ]), + vesta::Base::from_raw([ + 0xf0c6_6af5_ffc7_3736, + 0x663c_cf7b_2ffe_4b5e, + 0x007a_b3aa_3617_f422, + 0x0b70_83ad_7517_07bf, + ]), + ], + [ + vesta::Base::from_raw([ + 0x2f9b_20f1_fbd4_9791, + 0x1975_b962_f6cb_8e0b, + 0x3bc4_ca99_02c5_2acb, + 0x030d_dbb4_7049_3f16, + ]), + vesta::Base::from_raw([ + 0x3a1c_62ca_8fbf_2525, + 0x8fb8_ab9d_60ea_17b2, + 0x950b_0ab1_8d35_46df, + 0x3130_fbaf_fb5a_a82a, + ]), + vesta::Base::from_raw([ + 0x43a8_7618_0dc3_82e0, + 0x15ce_2ead_2fcd_051e, + 0x4f74_d74b_ac2e_e457, + 0x337f_5447_07c4_30f0, + ]), + ], + [ + vesta::Base::from_raw([ + 0x26de_98a8_736d_1d11, + 0x7d8e_471a_9fb9_5fef, + 0xac9d_91b0_930d_ac75, + 0x3499_7991_9015_394f, + ]), + vesta::Base::from_raw([ + 0xccfc_b618_31d5_c775, + 0x3bf9_3da6_fff3_1d95, + 0x2305_cd7a_921e_c5f1, + 0x027c_c4ef_e3fb_35dd, + ]), + vesta::Base::from_raw([ + 0xc3fa_2629_635d_27de, + 0x67f1_c6b7_3147_64af, + 0x61b7_1a36_9868_2ad2, + 0x037f_9f23_6595_4c5b, + ]), + ], + [ + vesta::Base::from_raw([ + 0x77c5_b024_8483_71ae, + 0x6041_4abe_362d_01c9, + 0x10f1_cc6d_f8b4_bcd7, + 0x1f69_7cac_4d07_feb7, + ]), + vesta::Base::from_raw([ + 0x786a_dd24_4aa0_ef29, + 0x3145_c478_0631_09d6, + 0x26e6_c851_fbd5_72a6, + 0x267a_750f_e5d7_cfbc, + ]), + vesta::Base::from_raw([ + 0x180e_2b4d_3e75_6f65, + 0xaf28_5fa8_2ce4_fae5, + 0x678c_9996_d9a4_72c8, + 0x0c91_feab_4a43_193a, + ]), + ], + [ + vesta::Base::from_raw([ + 0x79c4_7c57_3ac4_10f7, + 0x7e3b_83af_4a4b_a3ba, + 0x2186_c303_8ea0_5e69, + 0x1745_569a_0a3e_3014, + ]), + vesta::Base::from_raw([ + 0x1e03_8852_2696_191f, + 0xfdff_66c6_f3b5_ffe1, + 0xeca5_1207_78a5_6711, + 0x2986_3d54_6e7e_7c0d, + ]), + vesta::Base::from_raw([ + 0x2f22_5e63_66bf_e390, + 0xa79a_03df_8339_94c6, + 0xbf06_bae4_9ef8_53f6, + 0x1148_d6ab_2bd0_0192, + ]), + ], + [ + vesta::Base::from_raw([ + 0xf4f6_331a_8b26_5d15, + 0xf745_f45d_350d_41d4, + 0xe18b_1499_060d_a366, + 0x02e0_e121_b0f3_dfef, + ]), + vesta::Base::from_raw([ + 0x078a_e6aa_1510_54b7, + 0x6904_0173_6d44_a653, + 0xb89e_f73a_40a2_b274, + 0x0d0a_a46e_76a6_a278, + ]), + vesta::Base::from_raw([ + 0x9a4d_532c_7b6e_0958, + 0x392d_de71_0f1f_06db, + 0xeee5_45f3_fa6d_3d08, + 0x1394_3675_b04a_a986, + ]), + ], + [ + vesta::Base::from_raw([ + 0x961f_c818_dcbb_66b5, + 0xc9f2_b325_7530_dafe, + 0xd97a_11d6_3088_f5d9, + 0x2901_ec61_942d_34aa, + ]), + vesta::Base::from_raw([ + 0xfdf5_44b9_63d1_fdc7, + 0x22ff_a2a2_af9f_a3e3, + 0xf431_d544_34a3_e0cf, + 0x2020_4a21_05d2_2e7e, + ]), + vesta::Base::from_raw([ + 0x1211_b9e2_190d_6852, + 0xa004_abe8_e015_28c4, + 0x5c1e_3e9e_27a5_71c3, + 0x3a8a_6282_9512_1d5c, + ]), + ], +]; + +// n: 255 +// t: 3 +// N: 765 +// Result Algorithm 1: +// [True, 0] +// Result Algorithm 2: +// [True, None] +// Result Algorithm 3: +// [True, None] +// Prime number: 0x0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001 +// MDS matrix: +pub(crate) const MDS: [[vesta::Base; 3]; 3] = [ + [ + vesta::Base::from_raw([ + 0xeb4f_1f74_2963_421f, + 0x5f71_0afc_43dd_c5f6, + 0x9191_3f56_cf21_af2b, + 0x1853_b497_7c6f_a227, + ]), + vesta::Base::from_raw([ + 0x45e5_1db6_ac6f_e4a7, + 0x5a0f_a4df_a500_bcad, + 0x63f4_84c1_0fcf_0586, + 0x3d83_1189_cfbb_c452, + ]), + vesta::Base::from_raw([ + 0xd188_37f9_8347_f137, + 0x3f89_65c7_8083_8a94, + 0x4ba8_8b9e_4017_19c0, + 0x3a0e_3f84_d3c1_77d8, + ]), + ], + [ + vesta::Base::from_raw([ + 0x84fd_7923_337c_f77e, + 0x2896_f8d0_fd5c_9a75, + 0x8e9d_c529_f471_8f83, + 0x35e2_6e39_8450_6279, + ]), + vesta::Base::from_raw([ + 0x3eb9_24f5_6fff_7908, + 0x3641_cecf_3a2a_5a8a, + 0x00cd_7dbe_a799_70ab, + 0x10a8_1663_02cb_753c, + ]), + vesta::Base::from_raw([ + 0xb672_27c1_a141_ae94, + 0x198e_1aee_777e_2521, + 0xf434_92ce_5121_4b00, + 0x314f_762a_506d_321b, + ]), + ], + [ + vesta::Base::from_raw([ + 0xabcb_d614_eaf5_eba1, + 0xa90f_28b0_cb31_76fb, + 0xcb2e_ab86_ef31_d915, + 0x07b8_5627_c832_782a, + ]), + vesta::Base::from_raw([ + 0xc255_efd0_06b5_db1c, + 0xb5d9_85dc_1630_a4b2, + 0x9756_4e1b_5d1a_c72f, + 0x2a2d_e13e_70f2_7e16, + ]), + vesta::Base::from_raw([ + 0xcffd_f529_3334_29fc, + 0x21e3_af7e_f123_32cd, + 0xfff5_40a8_7327_c7ce, + 0x2c60_94d1_c6e1_caba, + ]), + ], +]; + +pub(crate) const MDS_INV: [[vesta::Base; 3]; 3] = [ + [ + vesta::Base::from_raw([ + 0xb204_ddc6_5e58_2044, + 0x47a6_0484_b0a9_9c91, + 0xcaf5_4d78_24c1_200e, + 0x36df_4950_21cf_7828, + ]), + vesta::Base::from_raw([ + 0x6a6b_94ad_aa0d_9c9e, + 0xe2cd_38b9_59d4_61ff, + 0xe43e_c4bf_3e0d_f00c, + 0x034f_beae_4650_c2c7, + ]), + vesta::Base::from_raw([ + 0xa862_7a02_8c1a_f7d6, + 0x841b_ebf1_a15b_746e, + 0x1fd5_6832_d0ab_5570, + 0x20a8_64d6_790f_7c1c, + ]), + ], + [ + vesta::Base::from_raw([ + 0x3470_d5c5_53bc_9d20, + 0x1f95_660f_eb5d_b121, + 0xdd31_97ac_c894_9076, + 0x2d08_703d_48ec_d7dc, + ]), + vesta::Base::from_raw([ + 0x6b5b_42b0_67d8_30f3, + 0x6169_b6fa_721a_470e, + 0xeff3_18a2_8983_158a, + 0x2db1_0ecd_507a_2f27, + ]), + vesta::Base::from_raw([ + 0xfbae_b537_d278_4760, + 0x0068_e709_07e7_089d, + 0x926a_5fc0_cc1e_f726, + 0x0c8a_58c0_6473_cdfa, + ]), + ], + [ + vesta::Base::from_raw([ + 0x3a5a_ca10_7129_6e61, + 0x4ad4_442e_96c9_d5e8, + 0x5432_f0c0_b908_a411, + 0x2a64_2dca_695d_744d, + ]), + vesta::Base::from_raw([ + 0x1bd9_bfcb_be02_5ff1, + 0x24f6_ad43_b703_ad90, + 0xebb7_238d_f00d_17e7, + 0x114e_c796_fb40_3f5f, + ]), + vesta::Base::from_raw([ + 0x67f0_642e_14a9_c3bf, + 0xf6a6_9176_7069_7a97, + 0x0408_110d_c66e_b147, + 0x2825_e067_5968_dbeb, + ]), + ], +]; diff --git a/src/primitives/poseidon/nullifier.rs b/src/primitives/poseidon/nullifier.rs index 69fb30f5..5ba5d128 100644 --- a/src/primitives/poseidon/nullifier.rs +++ b/src/primitives/poseidon/nullifier.rs @@ -1,7 +1,10 @@ use halo2::arithmetic::Field; use pasta_curves::pallas; -use super::{Mds, Spec}; +use super::{ + fp::{MDS, MDS_INV, ROUND_CONSTANTS}, + Mds, Spec, +}; /// Poseidon-128 using the $x^5$ S-box, with a width of 3 field elements, and the /// standard number of rounds for 128-bit security "with margin". @@ -40,1429 +43,6 @@ impl Spec for OrchardNullifier { } } -// $ sage generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001 -// Number of round constants: 192 -// Round constants for GF(p): -const ROUND_CONSTANTS: [[pallas::Base; 3]; 64] = [ - [ - pallas::Base::from_raw([ - 0x5753_8c25_9642_6303, - 0x4e71_162f_3100_3b70, - 0x353f_628f_76d1_10f3, - 0x360d_7470_611e_473d, - ]), - pallas::Base::from_raw([ - 0xbdb7_4213_bf63_188b, - 0x4908_ac2f_12eb_e06f, - 0x5dc3_c6c5_febf_aa31, - 0x2bab_94d7_ae22_2d13, - ]), - pallas::Base::from_raw([ - 0x0939_d927_53cc_5dc8, - 0xef77_e7d7_3676_6c5d, - 0x2bf0_3e1a_29aa_871f, - 0x150c_93fe_f652_fb1c, - ]), - ], - [ - pallas::Base::from_raw([ - 0x1425_9dce_5377_82b2, - 0x03cc_0a60_141e_894e, - 0x955d_55db_56dc_57c1, - 0x3270_661e_6892_8b3a, - ]), - pallas::Base::from_raw([ - 0xce9f_b9ff_c345_afb3, - 0xb407_c370_f2b5_a1cc, - 0xa0b7_afe4_e205_7299, - 0x073f_116f_0412_2e25, - ]), - pallas::Base::from_raw([ - 0x8eba_d76f_c715_54d8, - 0x55c9_cd20_61ae_93ca, - 0x7aff_d09c_1f53_f5fd, - 0x2a32_ec5c_4ee5_b183, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2d8c_cbe2_92ef_eead, - 0x634d_24fc_6e25_59f2, - 0x651e_2cfc_7406_28ca, - 0x2703_26ee_039d_f19e, - ]), - pallas::Base::from_raw([ - 0xa068_fc37_c182_e274, - 0x8af8_95bc_e012_f182, - 0xdc10_0fe7_fcfa_5491, - 0x27c6_642a_c633_bc66, - ]), - pallas::Base::from_raw([ - 0x9ca1_8682_e26d_7ff9, - 0x710e_1fb6_ab97_6a45, - 0xd27f_5739_6989_129d, - 0x1bdf_d8b0_1401_c70a, - ]), - ], - [ - pallas::Base::from_raw([ - 0xc832_d824_261a_35ea, - 0xf4f6_fb3f_9054_d373, - 0x14b9_d6a9_c84d_d678, - 0x162a_14c6_2f9a_89b8, - ]), - pallas::Base::from_raw([ - 0xf798_2466_7b5b_6bec, - 0xac0a_1fc7_1e2c_f0c0, - 0x2af6_f79e_3127_feea, - 0x2d19_3e0f_76de_586b, - ]), - pallas::Base::from_raw([ - 0x5d0b_f58d_c8a4_aa94, - 0x4fef_f829_8499_0ff8, - 0x8169_6ef1_104e_674f, - 0x044c_a3cc_4a85_d73b, - ]), - ], - [ - pallas::Base::from_raw([ - 0x6198_785f_0cd6_b9af, - 0xb8d9_e2d4_f314_f46f, - 0x1d04_5341_6d3e_235c, - 0x1cba_f2b3_71da_c6a8, - ]), - pallas::Base::from_raw([ - 0x343e_0761_0f3f_ede5, - 0x293c_4ab0_38fd_bbdc, - 0x0e6c_49d0_61b6_b5f4, - 0x1d5b_2777_692c_205b, - ]), - pallas::Base::from_raw([ - 0xf60e_971b_8d73_b04f, - 0x06a9_adb0_c1e6_f962, - 0xaa30_535b_dd74_9a7e, - 0x2e9b_dbba_3dd3_4bff, - ]), - ], - [ - pallas::Base::from_raw([ - 0x035a_1366_1f22_418b, - 0xde40_fbe2_6d04_7b05, - 0x8bd5_bae3_6969_299f, - 0x2de1_1886_b180_11ca, - ]), - pallas::Base::from_raw([ - 0xbc99_8884_ba96_a721, - 0x2ab9_395c_449b_e947, - 0x0d5b_4a3f_1841_dcd8, - 0x2e07_de17_80b8_a70d, - ]), - pallas::Base::from_raw([ - 0x825e_4c2b_b749_25ca, - 0x2504_40a9_9d6b_8af3, - 0xbbdb_63db_d52d_ad16, - 0x0f69_f185_4d20_ca0c, - ]), - ], - [ - pallas::Base::from_raw([ - 0x816c_0594_22dc_705e, - 0x6ce5_1135_07f9_6de9, - 0x0d13_5dc6_39fb_09a4, - 0x2eb1_b254_17fe_1767, - ]), - pallas::Base::from_raw([ - 0xb8b1_bdf4_953b_d82c, - 0xff36_c661_d26c_c42d, - 0x8c24_cb44_c3fa_b48a, - 0x115c_d0a0_643c_fb98, - ]), - pallas::Base::from_raw([ - 0xde80_1612_311d_04cd, - 0xbb57_ddf1_4e0f_958a, - 0x066d_7378_b999_868b, - 0x26ca_293f_7b2c_462d, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf520_9d14_b248_20ca, - 0x0f16_0bf9_f71e_967f, - 0x2a83_0aa1_6241_2cd9, - 0x17bf_1b93_c4c7_e01a, - ]), - pallas::Base::from_raw([ - 0x05c8_6f2e_7dc2_93c5, - 0xe03c_0354_bd8c_fd38, - 0xa24f_8456_369c_85df, - 0x35b4_1a7a_c4f3_c571, - ]), - pallas::Base::from_raw([ - 0x72ac_156a_f435_d09e, - 0x64e1_4d3b_eb2d_ddde, - 0x4359_2799_4849_bea9, - 0x3b14_8008_0523_c439, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2716_18d8_74b1_4c6d, - 0x08e2_8644_2a2d_3eb2, - 0x4950_856d_c907_d575, - 0x2cc6_8100_31dc_1b0d, - ]), - pallas::Base::from_raw([ - 0x91f3_18c0_9f0c_b566, - 0x9e51_7aa9_3b78_341d, - 0x0596_18e2_afd2_ef99, - 0x25bd_bbed_a1bd_e8c1, - ]), - pallas::Base::from_raw([ - 0xc631_3487_073f_7f7b, - 0x2a5e_d0a2_7b61_926c, - 0xb95f_33c2_5dde_8ac0, - 0x392a_4a87_58e0_6ee8, - ]), - ], - [ - pallas::Base::from_raw([ - 0xe7bb_cef0_2eb5_866c, - 0x5e6a_6fd1_5db8_9365, - 0x9aa6_111f_4de0_0948, - 0x272a_5587_8a08_442b, - ]), - pallas::Base::from_raw([ - 0x9b92_5b3c_5b21_e0e2, - 0xa6eb_ba01_1694_dd12, - 0xefa1_3c4e_60e2_6239, - 0x2d5b_308b_0cf0_2cdf, - ]), - pallas::Base::from_raw([ - 0xef38_c57c_3116_73ac, - 0x44df_f42f_18b4_6c56, - 0xdd5d_293d_72e2_e5f2, - 0x1654_9fc6_af2f_3b72, - ]), - ], - [ - pallas::Base::from_raw([ - 0x9b71_26d9_b468_60df, - 0x7639_8265_3442_0311, - 0xfa69_c3a2_ad52_f76d, - 0x1b10_bb7a_82af_ce39, - ]), - pallas::Base::from_raw([ - 0x90d2_7f6a_00b7_dfc8, - 0xd1b3_6968_ba04_05c0, - 0xc79c_2df7_dc98_a3be, - 0x0f1e_7505_ebd9_1d2f, - ]), - pallas::Base::from_raw([ - 0xff45_7756_b819_bb20, - 0x797f_d6e3_f18e_b1ca, - 0x537a_7497_a3b4_3f46, - 0x2f31_3faf_0d3f_6187, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf0bc_3e73_2ecb_26f6, - 0x5cad_11eb_f0f7_ceb8, - 0xfa3c_a61c_0ed1_5bc5, - 0x3a5c_bb6d_e450_b481, - ]), - pallas::Base::from_raw([ - 0x8655_27cb_ca91_5982, - 0x51ba_a6e2_0f89_2b62, - 0xd920_86e2_53b4_39d6, - 0x3dab_54bc_9bef_688d, - ]), - pallas::Base::from_raw([ - 0x3680_45ac_f2b7_1ae3, - 0x4c24_b33b_410f_efd4, - 0xe280_d316_7012_3f74, - 0x06db_fb42_b979_884d, - ]), - ], - [ - pallas::Base::from_raw([ - 0xa7fc_32d2_2f18_b9d3, - 0xb8d2_de72_e3d2_c9ec, - 0xc6f0_39ea_1973_a63e, - 0x068d_6b46_08aa_e810, - ]), - pallas::Base::from_raw([ - 0x2b5d_fcc5_5725_55df, - 0xb868_a7d7_e1f1_f69a, - 0x0ee2_58c9_b8fd_fccd, - 0x366e_bfaf_a3ad_381c, - ]), - pallas::Base::from_raw([ - 0xe6bc_229e_95bc_76b1, - 0x7ef6_6d89_d044_d022, - 0x04db_3024_f41d_3f56, - 0x3967_8f65_512f_1ee4, - ]), - ], - [ - pallas::Base::from_raw([ - 0xe534_c88f_e53d_85fe, - 0xcf82_c25f_99dc_01a4, - 0xd58b_7750_a3bc_2fe1, - 0x2166_8f01_6a80_63c0, - ]), - pallas::Base::from_raw([ - 0x4bef_429b_c533_1608, - 0xe34d_ea56_439f_e195, - 0x1bc7_4936_3e98_a768, - 0x39d0_0994_a8a5_046a, - ]), - pallas::Base::from_raw([ - 0x770c_956f_60d8_81b3, - 0xb163_d416_05d3_9f99, - 0x6b20_3bbe_12fb_3425, - 0x1f9d_bdc3_f843_1263, - ]), - ], - [ - pallas::Base::from_raw([ - 0x9794_a9f7_c336_eab2, - 0xbe0b_c829_fe5e_66c6, - 0xe5f1_7b9e_0ee0_cab6, - 0x0277_45a9_cddf_ad95, - ]), - pallas::Base::from_raw([ - 0x5202_5657_abd8_aee0, - 0x2fa4_3fe2_0a45_c78d, - 0x788d_695c_61e9_3212, - 0x1cec_0803_c504_b635, - ]), - pallas::Base::from_raw([ - 0xd387_2a95_59a0_3a73, - 0xed50_82c8_dbf3_1365, - 0x7207_7448_ef87_cc6e, - 0x1235_23d7_5e9f_abc1, - ]), - ], - [ - pallas::Base::from_raw([ - 0x0017_79e3_a1d3_57f4, - 0x27fe_ba35_975e_e7e5, - 0xf419_b848_e5d6_94bf, - 0x1723_d145_2c9c_f02d, - ]), - pallas::Base::from_raw([ - 0x9dab_1ee4_dcf9_6622, - 0x21c3_f776_f572_836d, - 0xfcc0_573d_7e61_3694, - 0x1739_d180_a160_10bd, - ]), - pallas::Base::from_raw([ - 0x7029_0452_042d_048d, - 0xfafa_96fb_eb0a_b893, - 0xacce_3239_1794_b627, - 0x2d4e_6354_da9c_c554, - ]), - ], - [ - pallas::Base::from_raw([ - 0x670b_cf6f_8b48_5dcd, - 0x8f3b_d43f_9926_0621, - 0x4a86_9553_c9d0_07f8, - 0x153e_e614_2e53_5e33, - ]), - pallas::Base::from_raw([ - 0xd258_d2e2_b778_2172, - 0x968a_d442_4af8_3700, - 0x635e_f7e7_a430_b486, - 0x0c45_bfd3_a69a_aa65, - ]), - pallas::Base::from_raw([ - 0x0e56_33d2_51f7_3307, - 0x6897_ac0a_8ffa_5ff1, - 0xf2d5_6aec_8314_4600, - 0x0adf_d53b_256a_6957, - ]), - ], - [ - pallas::Base::from_raw([ - 0xac9d_36a8_b751_6d63, - 0x3f87_b28f_1c1b_e4bd, - 0x8cd1_726b_7cba_b8ee, - 0x315d_2ac8_ebdb_ac3c, - ]), - pallas::Base::from_raw([ - 0x299c_e44e_a423_d8e1, - 0xc9bb_60d1_f695_9879, - 0xcfae_c23d_2b16_883f, - 0x1b84_7271_2d02_eef4, - ]), - pallas::Base::from_raw([ - 0xc4a5_4041_98ad_f70c, - 0x367d_2c54_e369_28c9, - 0xbd0b_70fa_2255_eb6f, - 0x3c1c_d07e_fda6_ff24, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbbe5_23ae_f9ab_107a, - 0x4a16_073f_738f_7e0c, - 0x687f_4e51_b2e1_dcd3, - 0x1360_52d2_6bb3_d373, - ]), - pallas::Base::from_raw([ - 0x676c_36c2_4ef9_67dd, - 0x7b3c_fbb8_7303_2681, - 0xc1bd_d859_a123_2a1d, - 0x16c9_6bee_f6a0_a848, - ]), - pallas::Base::from_raw([ - 0x067e_ec7f_2d63_40c4, - 0x0123_87ba_b4f1_662d, - 0x2ab7_fed8_f499_a9fb, - 0x284b_38c5_7ff6_5c26, - ]), - ], - [ - pallas::Base::from_raw([ - 0xaf1d_ff20_4c92_2f86, - 0xfc06_772c_1c04_11a6, - 0x39e2_4219_8897_d17c, - 0x0c59_93d1_75e8_1f66, - ]), - pallas::Base::from_raw([ - 0xbbf5_3f67_b1f8_7b15, - 0xf248_87ad_48e1_7759, - 0xfcda_655d_1ba9_c8f9, - 0x03bf_7a3f_7bd0_43da, - ]), - pallas::Base::from_raw([ - 0x9b5c_d09e_36d8_be62, - 0x4c8f_9cbe_69f0_e827, - 0xb0cf_9995_67f0_0e73, - 0x3188_fe4e_e9f9_fafb, - ]), - ], - [ - pallas::Base::from_raw([ - 0xafea_99a2_ec6c_595a, - 0x3af5_bf77_c1c4_2652, - 0x5a39_768c_480d_61e1, - 0x171f_528c_cf65_8437, - ]), - pallas::Base::from_raw([ - 0x5a05_63b9_b8e9_f1d5, - 0x812c_3286_ee70_0067, - 0x196e_4185_9b35_ef88, - 0x12f4_175c_4ab4_5afc, - ]), - pallas::Base::from_raw([ - 0x0e74_d4d3_6911_8b79, - 0x7e23_e1aa_be96_cfab, - 0x8f8f_dcf8_00a9_ac69, - 0x3a50_9e15_5cb7_ebfd, - ]), - ], - [ - pallas::Base::from_raw([ - 0x9871_2c65_678c_fd30, - 0x984b_c8f2_e4c1_b69e, - 0x1a89_920e_2504_c3b3, - 0x10f2_a685_df4a_27c8, - ]), - pallas::Base::from_raw([ - 0xe8a1_6728_cc9d_4918, - 0x5457_3c93_33c5_6321, - 0x1d8d_93d5_4ab9_1a0e, - 0x09e5_f497_90c8_a0e2, - ]), - pallas::Base::from_raw([ - 0x609a_7403_47cf_5fea, - 0x42d1_7ed6_ee0f_ab7e, - 0x2bf3_5705_d9f8_4a34, - 0x352d_69be_d80e_e3e5, - ]), - ], - [ - pallas::Base::from_raw([ - 0x3a75_8af6_fa84_e0e8, - 0xc634_debd_281b_76a6, - 0x4915_62fa_f2b1_90d3, - 0x058e_e73b_a9f3_f293, - ]), - pallas::Base::from_raw([ - 0x621a_1325_10a4_3904, - 0x092c_b921_19bc_76be, - 0xcd0f_1fc5_5b1a_3250, - 0x232f_99cc_911e_ddd9, - ]), - pallas::Base::from_raw([ - 0xc3b9_7c1e_301b_c213, - 0xf9ef_d52c_a6bc_2961, - 0x86c2_2c6c_5d48_69f0, - 0x201b_eed7_b8f3_ab81, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbf6b_3431_ba94_e9bc, - 0x2938_8842_744a_1210, - 0xa1c9_291d_5860_2f51, - 0x1376_dce6_5800_30c6, - ]), - pallas::Base::from_raw([ - 0x6454_843c_5486_d7b3, - 0x072b_a8b0_2d92_e722, - 0x2b33_56c3_8238_f761, - 0x1793_199e_6fd6_ba34, - ]), - pallas::Base::from_raw([ - 0x06a3_f1d3_b433_311b, - 0x3c66_160d_c62a_acac, - 0x9fee_9c20_c87a_67df, - 0x22de_7a74_88dc_c735, - ]), - ], - [ - pallas::Base::from_raw([ - 0x30d6_e3fd_516b_47a8, - 0xdbe0_b77f_ae77_e1d0, - 0xdf8f_f37f_e2d8_edf8, - 0x3514_d5e9_066b_b160, - ]), - pallas::Base::from_raw([ - 0x1937_7427_137a_81c7, - 0xff45_3d6f_900f_144a, - 0xf919_a00d_abbf_5fa5, - 0x30cd_3006_931a_d636, - ]), - pallas::Base::from_raw([ - 0x5b6a_7422_0692_b506, - 0x8f9e_4b2c_ae2e_bb51, - 0x41f8_1a5c_f613_c8df, - 0x253d_1a5c_5293_4127, - ]), - ], - [ - pallas::Base::from_raw([ - 0x73f6_66cb_86a4_8e8e, - 0x851b_3a59_c990_fafc, - 0xa35e_9613_e7f5_fe92, - 0x035b_461c_02d7_9d19, - ]), - pallas::Base::from_raw([ - 0x7cfb_f86a_3aa0_4780, - 0x92b1_283c_2d5f_ccde, - 0x5bc0_0eed_d56b_93e0, - 0x23a9_9280_79d1_75bd, - ]), - pallas::Base::from_raw([ - 0xf1e4_ccd7_3fa0_0a82, - 0xb5e2_ea34_36ee_f957, - 0xf159_4a07_63c6_11ab, - 0x13a7_785a_e134_ea92, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbbf0_4f52_52de_4279, - 0x3889_c578_6344_6d88, - 0x4962_ae3c_0da1_7e31, - 0x39fc_e308_b7d4_3c57, - ]), - pallas::Base::from_raw([ - 0x3b57_e344_89b5_3fad, - 0xbef0_0a08_c6ed_38d2, - 0xc0fd_f016_62f6_0d22, - 0x1aae_1883_3f8e_1d3a, - ]), - pallas::Base::from_raw([ - 0x5551_3e03_3398_513f, - 0x27c1_b3fd_8f85_d8a8, - 0x8b2e_80c0_64fd_83ed, - 0x1a76_1ce8_2400_af01, - ]), - ], - [ - pallas::Base::from_raw([ - 0x5244_ca74_9b73_e481, - 0xdcf6_af28_30a5_0287, - 0x16dd_1a87_ca22_e1cc, - 0x275a_03e4_5add_a7c3, - ]), - pallas::Base::from_raw([ - 0x58a2_53cf_b6a9_5786, - 0x07e5_6145_3fc5_648b, - 0xeb08_e47e_5fea_bcf8, - 0x2e5a_10f0_8b5a_b8bb, - ]), - pallas::Base::from_raw([ - 0xe033_d82c_efe7_8ce3, - 0xc141_a5b6_d594_bec4, - 0xb84e_9c33_3b29_32f1, - 0x1459_cb85_8720_8473, - ]), - ], - [ - pallas::Base::from_raw([ - 0x5cec_7e7b_338f_be1b, - 0x52f9_332f_bffc_fbbd, - 0x7b92_ce81_0e14_a400, - 0x193a_e592_1d78_b5de, - ]), - pallas::Base::from_raw([ - 0x6022_4be6_7248_e82c, - 0x3743_84f4_a072_8205, - 0x8911_1fb2_c466_0281, - 0x3097_898a_5d00_11a4, - ]), - pallas::Base::from_raw([ - 0x5499_80de_8629_30f5, - 0x1979_b2d1_c465_b4d9, - 0x5717_82fd_96ce_54b4, - 0x378d_97bf_8c86_4ae7, - ]), - ], - [ - pallas::Base::from_raw([ - 0x37ea_32a9_71d1_7884, - 0xdbc7_f5cb_4609_3421, - 0x8813_6287_ce37_6b08, - 0x2eb0_4ea7_c01d_97ec, - ]), - pallas::Base::from_raw([ - 0xead3_726f_1af2_e7b0, - 0x861c_bda4_7680_4e6c, - 0x2302_a1c2_2e49_baec, - 0x3642_5347_ea03_f641, - ]), - pallas::Base::from_raw([ - 0xecd6_27e5_9590_d09e, - 0x3f5b_5ca5_a19a_9701, - 0xcc99_6cd8_5c98_a1d8, - 0x26b7_2df4_7408_ad42, - ]), - ], - [ - pallas::Base::from_raw([ - 0x59be_ce31_f0a3_1e95, - 0xde01_212e_e458_8f89, - 0x1f05_636c_610b_89aa, - 0x1301_80e4_4e29_24db, - ]), - pallas::Base::from_raw([ - 0x9ea8_e7bc_7926_3550, - 0xdf77_93cc_89e5_b52f, - 0x7327_5aca_ed5f_579c, - 0x219e_9773_7d39_79ba, - ]), - pallas::Base::from_raw([ - 0x9c12_635d_f251_d153, - 0x3b06_72dd_7d42_cbb4, - 0x3461_363f_81c4_89a2, - 0x3cdb_9359_8a5c_a528, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2861_ce16_f219_d5a9, - 0x4ad0_4470_45a7_c5aa, - 0x2072_4b92_7a0c_a81c, - 0x0e59_e6f3_32d7_ed37, - ]), - pallas::Base::from_raw([ - 0x43b0_a3fc_ff20_36bd, - 0x172c_c07b_9d33_fbf9, - 0x3d73_6946_7222_697a, - 0x1b06_4342_d51a_4275, - ]), - pallas::Base::from_raw([ - 0x3eb3_1022_8a0e_5f6c, - 0x78fa_9fb9_1712_21b7, - 0x2f36_3c55_b288_2e0b, - 0x30b8_2a99_8cbd_8e8a, - ]), - ], - [ - pallas::Base::from_raw([ - 0xe46f_6d42_9874_0107, - 0x8ad7_1ea7_15be_0573, - 0x63df_7a76_e858_a4aa, - 0x23e4_ab37_183a_cba4, - ]), - pallas::Base::from_raw([ - 0xfca9_95e2_b599_14a1, - 0xacfe_1464_0de0_44f2, - 0x5d33_094e_0bed_a75b, - 0x2795_d5c5_fa42_8022, - ]), - pallas::Base::from_raw([ - 0xc26d_909d_ee8b_53c0, - 0xa668_7c3d_f16c_8fe4, - 0xd765_f26d_d03f_4c45, - 0x3001_ca40_1e89_601c, - ]), - ], - [ - pallas::Base::from_raw([ - 0xe7fe_a6bd_f347_1380, - 0xe84b_5beb_ae4e_501d, - 0xf7bf_86e8_9280_827f, - 0x0072_e45c_c676_b08e, - ]), - pallas::Base::from_raw([ - 0xd0c5_4dde_b26b_86c0, - 0xb648_29e2_d40e_41bd, - 0xe2ab_e4c5_18ce_599e, - 0x13de_7054_8487_4bb5, - ]), - pallas::Base::from_raw([ - 0x3891_5b43_2a99_59a5, - 0x82bb_18e5_af1b_05bb, - 0x3159_50f1_211d_efe8, - 0x0408_a9fc_f9d6_1abf, - ]), - ], - [ - pallas::Base::from_raw([ - 0x3407_0cbe_e268_86a0, - 0xae4d_23b0_b41b_e9a8, - 0xbb4e_4a14_00cc_d2c4, - 0x2780_b9e7_5b55_676e, - ]), - pallas::Base::from_raw([ - 0x9405_5920_98b4_056f, - 0xdc4d_8fbe_fe24_405a, - 0xf803_33ec_8563_4ac9, - 0x3a57_0d4d_7c4e_7ac3, - ]), - pallas::Base::from_raw([ - 0x78d2_b247_8995_20b4, - 0xe2cc_1507_bebd_cc62, - 0xf347_c247_fcf0_9294, - 0x0c13_cca7_cb1f_9d2c, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2e8c_88f7_7074_70e0, - 0x0b50_bb2e_b82d_f74d, - 0xd261_4a19_7c6b_794b, - 0x14f5_9baa_03cd_0ca4, - ]), - pallas::Base::from_raw([ - 0xbe52_476e_0a16_f3be, - 0xa51d_54ed_e661_67f5, - 0x6f54_6e17_04c3_9c60, - 0x307d_efee_925d_fb43, - ]), - pallas::Base::from_raw([ - 0x380b_67d8_0473_dce3, - 0x6611_0683_6adf_e5e7, - 0x7a07_e767_4b5a_2621, - 0x1960_cd51_1a91_e060, - ]), - ], - [ - pallas::Base::from_raw([ - 0x15aa_f1f7_7125_89dd, - 0xb8ee_335d_8828_4cbe, - 0xca2a_d0fb_5667_2500, - 0x2301_ef9c_63ea_84c5, - ]), - pallas::Base::from_raw([ - 0x5e68_478c_4d60_27a9, - 0xc861_82d1_b424_6b58, - 0xd10f_4cd5_2be9_7f6b, - 0x029a_5a47_da79_a488, - ]), - pallas::Base::from_raw([ - 0x2cc4_f962_eaae_2260, - 0xf97f_e46b_6a92_5428, - 0x2360_d17d_890e_55cb, - 0x32d7_b16a_7f11_cc96, - ]), - ], - [ - pallas::Base::from_raw([ - 0xc0ca_b915_d536_3d9f, - 0xa5f2_404c_d7b3_5eb0, - 0x18e8_57a9_8d49_8cf7, - 0x2670_3e48_c03b_81ca, - ]), - pallas::Base::from_raw([ - 0xf691_123a_e112_b928, - 0xf443_88bd_6b89_221e, - 0x88ac_8d25_a246_03f1, - 0x0486_82a3_5b32_65bc, - ]), - pallas::Base::from_raw([ - 0x3ab7_defc_b8d8_03e2, - 0x91d6_e171_5164_775e, - 0xd72c_ddc6_cf06_b507, - 0x06b1_3904_41fa_7030, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbcd7_9541_4a6e_2e86, - 0x43b3_60f6_386a_86d7, - 0x1689_426d_ce05_fcd8, - 0x31aa_0eeb_868c_626d, - ]), - pallas::Base::from_raw([ - 0xed77_f5d5_76b9_9cc3, - 0x90ef_d8f4_1b20_78b2, - 0x057a_bad3_764c_104b, - 0x2394_64f7_5bf7_b6af, - ]), - pallas::Base::from_raw([ - 0xb2cb_4873_07c1_cecf, - 0xa5cc_47c5_9654_b2a7, - 0xa45e_19ed_813a_54ab, - 0x0a64_d4c0_4fd4_26bd, - ]), - ], - [ - pallas::Base::from_raw([ - 0x1f73_1532_2f65_8735, - 0x777c_7a92_1a06_2e9d, - 0x576a_4ad2_5986_0fb1, - 0x21fb_bdbb_7367_0734, - ]), - pallas::Base::from_raw([ - 0x6743_2400_3fc5_2146, - 0x5b86_d294_63d3_1564, - 0xd937_1ca2_eb95_acf3, - 0x31b8_6f3c_f017_05d4, - ]), - pallas::Base::from_raw([ - 0x7045_f48a_a4eb_4f6f, - 0x1354_1d65_157e_e1ce, - 0x05ef_1736_d090_56f6, - 0x2bfd_e533_5437_7c91, - ]), - ], - [ - pallas::Base::from_raw([ - 0x5a13_a58d_2001_1e2f, - 0xf4d5_239c_11d0_eafa, - 0xd558_f36e_65f8_eca7, - 0x1233_ca93_6ec2_4671, - ]), - pallas::Base::from_raw([ - 0x6e70_af0a_7a92_4b3a, - 0x8780_58d0_234a_576f, - 0xc437_846d_8e0b_2b30, - 0x27d4_52a4_3ac7_dea2, - ]), - pallas::Base::from_raw([ - 0xa025_76b9_4392_f980, - 0x6a30_641a_1c3d_87b2, - 0xe816_ea8d_a493_e0fa, - 0x2699_dba8_2184_e413, - ]), - ], - [ - pallas::Base::from_raw([ - 0x608c_6f7a_61b5_6e55, - 0xf185_8466_4f8c_ab49, - 0xc398_8bae_e42e_4b10, - 0x36c7_22f0_efcc_8803, - ]), - pallas::Base::from_raw([ - 0x6e49_ac17_0dbb_7fcd, - 0x85c3_8899_a7b5_a833, - 0x08b0_f2ec_89cc_aa37, - 0x02b3_ff48_861e_339b, - ]), - pallas::Base::from_raw([ - 0xa8c5_ae03_ad98_e405, - 0x6fc3_ff4c_49eb_59ad, - 0x6016_2f44_27bc_657b, - 0x0b70_d061_d58d_8a7f, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2e06_cc4a_f33b_0a06, - 0xad3d_e8be_46ed_9693, - 0xf875_3ade_b9d7_cee2, - 0x3fc2_a13f_127f_96a4, - ]), - pallas::Base::from_raw([ - 0xc120_80ac_117e_e15f, - 0x00cb_3d62_1e17_1d80, - 0x1bd6_3434_ac8c_419f, - 0x0c41_a6e4_8dd2_3a51, - ]), - pallas::Base::from_raw([ - 0x9685_213e_9692_f5e1, - 0x72aa_ad7e_4e75_339d, - 0xed44_7653_7169_084e, - 0x2de8_072a_6bd8_6884, - ]), - ], - [ - pallas::Base::from_raw([ - 0x0ad0_1184_567b_027c, - 0xb81c_f735_cc9c_39c0, - 0x9d34_96a3_d9fe_05ec, - 0x0355_7a8f_7b38_a17f, - ]), - pallas::Base::from_raw([ - 0x45bc_b5ac_0082_6abc, - 0x060f_4336_3d81_8e54, - 0xee97_6d34_282f_1a37, - 0x0b5f_5955_2f49_8735, - ]), - pallas::Base::from_raw([ - 0x2f29_09e1_7e22_b0df, - 0xf5d6_46e5_7507_e548, - 0xfedb_b185_70dc_7300, - 0x0e29_23a5_fee7_b878, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf71e_ed73_f15b_3326, - 0xcf1c_b37c_3b03_2af6, - 0xc787_be97_020a_7fdd, - 0x1d78_5005_a7a0_0592, - ]), - pallas::Base::from_raw([ - 0x0acf_bfb2_23f8_f00d, - 0xa590_b88a_3b06_0294, - 0x0ba5_fedc_b8f2_5bd2, - 0x1ad7_72c2_73d9_c6df, - ]), - pallas::Base::from_raw([ - 0xc1ce_13d6_0f2f_5031, - 0x8105_10eb_61f0_672d, - 0xa78f_3275_c278_234b, - 0x027b_d647_85fc_bd2a, - ]), - ], - [ - pallas::Base::from_raw([ - 0x8337_f5e0_7923_a853, - 0xe224_3134_6945_7b8e, - 0xce6f_8ffe_a103_1b6d, - 0x2080_0f44_1b4a_0526, - ]), - pallas::Base::from_raw([ - 0xa33d_7bed_89a4_408a, - 0x36cd_c8ee_d662_ad37, - 0x6eea_2cd4_9f43_12b4, - 0x3d5a_d61d_7b65_f938, - ]), - pallas::Base::from_raw([ - 0x3bbb_ae94_cc19_5284, - 0x1df9_6cc0_3ea4_b26d, - 0x02c5_f91b_e4dd_8e3d, - 0x1333_8bc3_51fc_46dd, - ]), - ], - [ - pallas::Base::from_raw([ - 0xc527_1c29_7852_819e, - 0x646c_49f9_b46c_bf19, - 0xb87d_b1e2_af3e_a923, - 0x25e5_2be5_07c9_2760, - ]), - pallas::Base::from_raw([ - 0x5c38_0ab7_01b5_2ea9, - 0xa34c_83a3_485c_6b2d, - 0x7109_6d8b_1b98_3c98, - 0x1c49_2d64_c157_aaa4, - ]), - pallas::Base::from_raw([ - 0xa20c_0b3d_a0da_4ca3, - 0xd434_87bc_288d_f682, - 0xf4e6_c5e7_a573_f592, - 0x0c5b_8015_7999_2718, - ]), - ], - [ - pallas::Base::from_raw([ - 0x7ea3_3c93_e408_33cf, - 0x584e_9e62_a7f9_554e, - 0x6869_5c0c_d7cb_f43d, - 0x1090_b1b4_d2be_be7a, - ]), - pallas::Base::from_raw([ - 0xe383_e1ec_3baa_8d69, - 0x1b21_8e35_ecf2_328e, - 0x68f5_ce5c_bed1_9cad, - 0x33e3_8018_a801_387a, - ]), - pallas::Base::from_raw([ - 0xb76b_0b3d_787e_e953, - 0x5f4a_02d2_8729_e3ae, - 0xeef8_d83d_0e87_6bac, - 0x1654_af18_772b_2da5, - ]), - ], - [ - pallas::Base::from_raw([ - 0xef7c_e6a0_1326_5477, - 0xbb08_9387_0367_ec6c, - 0x4474_2de8_8c5a_b0d5, - 0x1678_be3c_c9c6_7993, - ]), - pallas::Base::from_raw([ - 0xaf5d_4789_3348_f766, - 0xdaf1_8183_55b1_3b4f, - 0x7ff9_c6be_546e_928a, - 0x3780_bd1e_01f3_4c22, - ]), - pallas::Base::from_raw([ - 0xa123_8032_0d7c_c1de, - 0x5d11_e69a_a6c0_b98c, - 0x0786_018e_7cb7_7267, - 0x1e83_d631_5c9f_125b, - ]), - ], - [ - pallas::Base::from_raw([ - 0x1799_603e_855c_e731, - 0xc486_894d_76e0_c33b, - 0x160b_4155_2f29_31c8, - 0x354a_fd0a_2f9d_0b26, - ]), - pallas::Base::from_raw([ - 0x8b99_7ee0_6be1_bff3, - 0x60b0_0dbe_1fac_ed07, - 0x2d8a_ffa6_2905_c5a5, - 0x00cd_6d29_f166_eadc, - ]), - pallas::Base::from_raw([ - 0x08d0_6419_1708_2f2c, - 0xc60d_0197_3f18_3057, - 0xdbe0_e3d7_cdbc_66ef, - 0x1d62_1935_2768_e3ae, - ]), - ], - [ - pallas::Base::from_raw([ - 0xfa08_dd98_0638_7577, - 0xafe3_ca1d_b8d4_f529, - 0xe48d_2370_d7d1_a142, - 0x1463_36e2_5db5_181d, - ]), - pallas::Base::from_raw([ - 0xa901_d3ce_84de_0ad4, - 0x022e_54b4_9c13_d907, - 0x997a_2116_3e2e_43df, - 0x0005_d8e0_85fd_72ee, - ]), - pallas::Base::from_raw([ - 0x1c36_f313_4196_4484, - 0x6f8e_bc1d_2296_021a, - 0x0dd5_e61c_8a4e_8642, - 0x364e_97c7_a389_3227, - ]), - ], - [ - pallas::Base::from_raw([ - 0xd7a0_0c03_d2e0_baaa, - 0xfa97_ec80_ad30_7a52, - 0x561c_6fff_1534_6878, - 0x0118_9910_671b_c16b, - ]), - pallas::Base::from_raw([ - 0x63fd_8ac5_7a95_ca8c, - 0x4c0f_7e00_1df4_90aa, - 0x5229_dfaa_0123_1a45, - 0x162a_7c80_f4d2_d12e, - ]), - pallas::Base::from_raw([ - 0x32e6_9efb_22f4_0b96, - 0xcaff_31b4_fda3_2124, - 0x2604_e4af_b09f_8603, - 0x2a0d_6c09_5766_66bb, - ]), - ], - [ - pallas::Base::from_raw([ - 0xc0a0_180f_8cbf_c0d2, - 0xf444_d10d_63a7_4e2c, - 0xe16a_4d60_3d5a_808e, - 0x0978_e5c5_1e1e_5649, - ]), - pallas::Base::from_raw([ - 0x03f4_460e_bc35_1b6e, - 0x0508_7d90_3bda_cfd1, - 0xebe1_9bbd_ce25_1011, - 0x1bdc_ee3a_aca9_cd25, - ]), - pallas::Base::from_raw([ - 0xf619_64bf_3ade_7670, - 0x0c94_7321_e007_5e3f, - 0xe494_7914_0b19_44fd, - 0x1862_cccb_70b5_b885, - ]), - ], - [ - pallas::Base::from_raw([ - 0xc326_7da6_e94a_dc50, - 0x39ee_99c1_cc6e_5dda, - 0xbc26_cc88_3a19_87e1, - 0x1f3e_91d8_63c1_6922, - ]), - pallas::Base::from_raw([ - 0x0f85_b4ac_2c36_7406, - 0xfa66_1465_c656_ad99, - 0xef5c_08f8_478f_663a, - 0x1af4_7a48_a601_6a49, - ]), - pallas::Base::from_raw([ - 0x0eab_cd87_e7d0_1b15, - 0x1c36_98b0_a2e3_da10, - 0x009d_5733_8c69_3505, - 0x3c8e_e901_956e_3d3f, - ]), - ], - [ - pallas::Base::from_raw([ - 0x8b94_7721_8967_3476, - 0xe10c_e2b7_069f_4dbd, - 0x68d0_b024_f591_b520, - 0x1660_a8cd_e7fe_c553, - ]), - pallas::Base::from_raw([ - 0x9d8d_0f67_fdaa_79d5, - 0x3963_c2c1_f558_6e2f, - 0x1303_9363_34dd_1132, - 0x0f6d_9919_29d5_e4e7, - ]), - pallas::Base::from_raw([ - 0x7a43_3091_e1ce_2d3a, - 0x4e7f_da77_0712_f343, - 0xcc62_5eaa_ab52_b4dc, - 0x02b9_cea1_921c_d9f6, - ]), - ], - [ - pallas::Base::from_raw([ - 0x3797_b2d8_3760_43b3, - 0xd8ca_f468_976f_0472, - 0x214f_7c67_84ac_b565, - 0x14a3_23b9_9b90_0331, - ]), - pallas::Base::from_raw([ - 0x347f_ef2c_00f0_953a, - 0x718b_7fbc_7788_af78, - 0xec01_ea79_642d_5760, - 0x1904_76b5_80cb_9277, - ]), - pallas::Base::from_raw([ - 0xff4e_7e6f_b268_dfd7, - 0x9660_902b_6008_7651, - 0xa424_63d3_0b44_2b6f, - 0x090a_3a9d_869d_2eef, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf983_387e_a045_6203, - 0xe365_0013_04f9_a11e, - 0x0dbe_8fd2_270a_6795, - 0x3877_a955_8636_7567, - ]), - pallas::Base::from_raw([ - 0x39c0_af0f_e01f_4a06, - 0x6011_8c53_a218_1352, - 0x5df3_9a2c_c63d_dc0a, - 0x2d89_4691_240f_e953, - ]), - pallas::Base::from_raw([ - 0x1aca_9eaf_9bba_9850, - 0x5914_e855_eeb4_4aa1, - 0x7ef7_1780_2016_6189, - 0x21b9_c182_92bd_bc59, - ]), - ], - [ - pallas::Base::from_raw([ - 0x33f5_09a7_4ad9_d39b, - 0x272e_1cc6_c36a_2968, - 0x505a_05f2_a6ae_834c, - 0x2fe7_6be7_cff7_23e2, - ]), - pallas::Base::from_raw([ - 0x0df9_fa97_277f_a8b4, - 0xd15b_ff84_0dda_e8a5, - 0x9299_81d7_cfce_253b, - 0x187a_a448_f391_e3ca, - ]), - pallas::Base::from_raw([ - 0xf0c6_6af5_ffc7_3736, - 0x663c_cf7b_2ffe_4b5e, - 0x007a_b3aa_3617_f422, - 0x0b70_83ad_7517_07bf, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2f9b_20f1_fbd4_9791, - 0x1975_b962_f6cb_8e0b, - 0x3bc4_ca99_02c5_2acb, - 0x030d_dbb4_7049_3f16, - ]), - pallas::Base::from_raw([ - 0x3a1c_62ca_8fbf_2525, - 0x8fb8_ab9d_60ea_17b2, - 0x950b_0ab1_8d35_46df, - 0x3130_fbaf_fb5a_a82a, - ]), - pallas::Base::from_raw([ - 0x43a8_7618_0dc3_82e0, - 0x15ce_2ead_2fcd_051e, - 0x4f74_d74b_ac2e_e457, - 0x337f_5447_07c4_30f0, - ]), - ], - [ - pallas::Base::from_raw([ - 0x26de_98a8_736d_1d11, - 0x7d8e_471a_9fb9_5fef, - 0xac9d_91b0_930d_ac75, - 0x3499_7991_9015_394f, - ]), - pallas::Base::from_raw([ - 0xccfc_b618_31d5_c775, - 0x3bf9_3da6_fff3_1d95, - 0x2305_cd7a_921e_c5f1, - 0x027c_c4ef_e3fb_35dd, - ]), - pallas::Base::from_raw([ - 0xc3fa_2629_635d_27de, - 0x67f1_c6b7_3147_64af, - 0x61b7_1a36_9868_2ad2, - 0x037f_9f23_6595_4c5b, - ]), - ], - [ - pallas::Base::from_raw([ - 0x77c5_b024_8483_71ae, - 0x6041_4abe_362d_01c9, - 0x10f1_cc6d_f8b4_bcd7, - 0x1f69_7cac_4d07_feb7, - ]), - pallas::Base::from_raw([ - 0x786a_dd24_4aa0_ef29, - 0x3145_c478_0631_09d6, - 0x26e6_c851_fbd5_72a6, - 0x267a_750f_e5d7_cfbc, - ]), - pallas::Base::from_raw([ - 0x180e_2b4d_3e75_6f65, - 0xaf28_5fa8_2ce4_fae5, - 0x678c_9996_d9a4_72c8, - 0x0c91_feab_4a43_193a, - ]), - ], - [ - pallas::Base::from_raw([ - 0x79c4_7c57_3ac4_10f7, - 0x7e3b_83af_4a4b_a3ba, - 0x2186_c303_8ea0_5e69, - 0x1745_569a_0a3e_3014, - ]), - pallas::Base::from_raw([ - 0x1e03_8852_2696_191f, - 0xfdff_66c6_f3b5_ffe1, - 0xeca5_1207_78a5_6711, - 0x2986_3d54_6e7e_7c0d, - ]), - pallas::Base::from_raw([ - 0x2f22_5e63_66bf_e390, - 0xa79a_03df_8339_94c6, - 0xbf06_bae4_9ef8_53f6, - 0x1148_d6ab_2bd0_0192, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf4f6_331a_8b26_5d15, - 0xf745_f45d_350d_41d4, - 0xe18b_1499_060d_a366, - 0x02e0_e121_b0f3_dfef, - ]), - pallas::Base::from_raw([ - 0x078a_e6aa_1510_54b7, - 0x6904_0173_6d44_a653, - 0xb89e_f73a_40a2_b274, - 0x0d0a_a46e_76a6_a278, - ]), - pallas::Base::from_raw([ - 0x9a4d_532c_7b6e_0958, - 0x392d_de71_0f1f_06db, - 0xeee5_45f3_fa6d_3d08, - 0x1394_3675_b04a_a986, - ]), - ], - [ - pallas::Base::from_raw([ - 0x961f_c818_dcbb_66b5, - 0xc9f2_b325_7530_dafe, - 0xd97a_11d6_3088_f5d9, - 0x2901_ec61_942d_34aa, - ]), - pallas::Base::from_raw([ - 0xfdf5_44b9_63d1_fdc7, - 0x22ff_a2a2_af9f_a3e3, - 0xf431_d544_34a3_e0cf, - 0x2020_4a21_05d2_2e7e, - ]), - pallas::Base::from_raw([ - 0x1211_b9e2_190d_6852, - 0xa004_abe8_e015_28c4, - 0x5c1e_3e9e_27a5_71c3, - 0x3a8a_6282_9512_1d5c, - ]), - ], -]; -// Secure MDS: 0 -// n: 255 -// t: 3 -// N: 765 -// Result Algorithm 1: -// [True, 0] -// Result Algorithm 2: -// [True, None] -// Result Algorithm 3: -// [True, None] -// Prime number: 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001 -// MDS matrix: -const MDS: [[pallas::Base; 3]; 3] = [ - [ - pallas::Base::from_raw([ - 0x323f_2486_d7e1_1b63, - 0x97d7_a0ab_2385_0b56, - 0xb3d5_9fbd_c8c9_ead4, - 0x0ab5_e5b8_74a6_8de7, - ]), - pallas::Base::from_raw([ - 0x8eca_5596_e996_ab5e, - 0x240d_4a7c_bf73_5736, - 0x293f_0f0d_886c_7954, - 0x3191_6628_e58a_5abb, - ]), - pallas::Base::from_raw([ - 0x19d1_cf25_d8e8_345d, - 0xa0a3_b71a_5fb1_5735, - 0xd803_952b_bb36_4fdf, - 0x07c0_45d5_f5e9_e5a6, - ]), - ], - [ - pallas::Base::from_raw([ - 0xd049_cdc8_d085_167c, - 0x3a0a_4640_48bd_770a, - 0xf8e2_4f66_822c_2d9f, - 0x2331_6263_0ebf_9ed7, - ]), - pallas::Base::from_raw([ - 0x4022_7011_3e04_7a2e, - 0x78f8_365c_85bb_ab07, - 0xb366_6454_8d60_957d, - 0x25ca_e259_9892_a8b0, - ]), - pallas::Base::from_raw([ - 0xf84d_806f_685f_747a, - 0x9aad_3d82_62ef_d83f, - 0x7493_8717_989a_1957, - 0x22f5_b5e1_e608_1c97, - ]), - ], - [ - pallas::Base::from_raw([ - 0xfee7_a994_4f84_dbe4, - 0x2168_0eab_c56b_c15d, - 0xf333_aa91_c383_3464, - 0x2e29_dd59_c64b_1037, - ]), - pallas::Base::from_raw([ - 0xc771_effa_4326_3664, - 0xcbea_f48b_3a06_24c3, - 0x92d1_5e7d_ceef_1665, - 0x1d1a_ab4e_c1cd_6788, - ]), - pallas::Base::from_raw([ - 0x1563_9415_f6e8_5ef1, - 0x7587_2c39_b59a_31f6, - 0x51e0_cbea_d655_16b9, - 0x3bf7_6308_6a18_9364, - ]), - ], -]; - -const MDS_INV: [[pallas::Base; 3]; 3] = [ - [ - pallas::Base::from_raw([ - 0xc6de_463c_d140_4e6b, - 0x4543_705f_35e9_8ab5, - 0xcc59_ffd0_0de8_6443, - 0x2cc0_57f3_fa14_687a, - ]), - pallas::Base::from_raw([ - 0x1718_4041_7cab_7576, - 0xfadb_f8ae_7ae2_4796, - 0x5fd7_2b55_df20_8385, - 0x32e7_c439_f2f9_67e5, - ]), - pallas::Base::from_raw([ - 0x9426_45bd_7d44_64e0, - 0x1403_db6f_5030_2040, - 0xf461_778a_bf6c_91fa, - 0x2eae_5df8_c311_5969, - ]), - ], - [ - pallas::Base::from_raw([ - 0xa1ca_1516_a4a1_a6a0, - 0x13f0_74fd_e9a1_8b29, - 0xdb18_b4ae_fe68_d26d, - 0x07bf_3684_8106_7199, - ]), - pallas::Base::from_raw([ - 0xe824_25bc_1b23_a059, - 0xbb1d_6504_0c85_c1bf, - 0x018a_918b_9dac_5dad, - 0x2aec_6906_c63f_3cf1, - ]), - pallas::Base::from_raw([ - 0xe054_1adf_238e_0781, - 0x76b2_a713_9db7_1b36, - 0x1215_944a_64a2_46b2, - 0x0952_e024_3aec_2af0, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2a41_8d8d_73a7_c908, - 0xaef9_112e_952f_dbb5, - 0x723a_63a0_c09d_ab26, - 0x2fcb_ba6f_9159_a219, - ]), - pallas::Base::from_raw([ - 0x76ef_ab42_d4fb_a90b, - 0xc5e4_960d_7424_cd37, - 0xb4dd_d4b4_d645_2256, - 0x1ec7_3725_74f3_851b, - ]), - pallas::Base::from_raw([ - 0xadc8_933c_6f3c_72ee, - 0x87a7_435d_30f8_be81, - 0x3c26_fa4b_7d25_b1e4, - 0x0d0c_2efd_6472_f12a, - ]), - ], -]; - #[cfg(test)] mod tests { use std::marker::PhantomData;