zcash_primitives: Add RedJubjub test vectors

This commit is contained in:
Jack Grigg 2023-12-01 14:07:23 +00:00
parent 5ccba3e1af
commit ded09f99b5
4 changed files with 509 additions and 2 deletions

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@ -34,3 +34,6 @@ pub mod testing {
note::testing::arb_note, tree::testing::arb_node, note::testing::arb_note, tree::testing::arb_node,
}; };
} }
#[cfg(test)]
mod test_vectors;

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@ -691,8 +691,8 @@ pub mod testing {
mod tests { mod tests {
use group::{Group, GroupEncoding}; use group::{Group, GroupEncoding};
use super::FullViewingKey; use super::{FullViewingKey, SpendAuthorizingKey, SpendValidatingKey};
use crate::sapling::constants::SPENDING_KEY_GENERATOR; use crate::sapling::{constants::SPENDING_KEY_GENERATOR, test_vectors};
#[test] #[test]
fn ak_must_be_prime_order() { fn ak_must_be_prime_order() {
@ -716,4 +716,31 @@ mod tests {
// nk is allowed to be the identity. // nk is allowed to be the identity.
assert!(FullViewingKey::read(&buf[..]).is_ok()); assert!(FullViewingKey::read(&buf[..]).is_ok());
} }
#[test]
fn spend_auth_sig_test_vectors() {
for tv in test_vectors::signatures::make_test_vectors() {
let sk = SpendAuthorizingKey::from_bytes(&tv.sk).unwrap();
let vk = SpendValidatingKey::from_bytes(&tv.vk).unwrap();
let rvk = redjubjub::VerificationKey::try_from(tv.rvk).unwrap();
let sig = redjubjub::Signature::from(tv.sig);
let rsig = redjubjub::Signature::from(tv.rsig);
let alpha = jubjub::Scalar::from_bytes(&tv.alpha).unwrap();
assert_eq!(<[u8; 32]>::from(sk.randomize(&alpha)), tv.rsk);
assert_eq!(vk.randomize(&alpha), rvk);
// assert_eq!(vk.0.verify(&tv.m, &sig), Ok(()));
// assert_eq!(rvk.verify(&tv.m, &rsig), Ok(()));
assert_eq!(
vk.0.verify(&tv.m, &rsig),
Err(redjubjub::Error::InvalidSignature),
);
assert_eq!(
rvk.verify(&tv.m, &sig),
Err(redjubjub::Error::InvalidSignature),
);
}
}
} }

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@ -0,0 +1 @@
pub(crate) mod signatures;

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@ -0,0 +1,476 @@
pub(crate) struct TestVector {
pub(crate) sk: [u8; 32],
pub(crate) vk: [u8; 32],
pub(crate) alpha: [u8; 32],
pub(crate) rsk: [u8; 32],
pub(crate) rvk: [u8; 32],
pub(crate) m: [u8; 32],
pub(crate) sig: [u8; 64],
pub(crate) rsig: [u8; 64],
}
pub(crate) fn make_test_vectors() -> Vec<TestVector> {
// From https://github.com/zcash/zcash-test-vectors/blob/master/zcash_test_vectors/sapling/redjubjub.py
vec![
TestVector {
sk: [
0x18, 0xe2, 0x8d, 0xea, 0x5c, 0x11, 0x81, 0x7a, 0xee, 0xb2, 0x1a, 0x19, 0x98, 0x1d,
0x28, 0x36, 0x8e, 0xc4, 0x38, 0xaf, 0xc2, 0x5a, 0x8d, 0xb9, 0x4e, 0xbe, 0x08, 0xd7,
0xa0, 0x28, 0x8e, 0x09,
],
vk: [
0x9b, 0x01, 0x53, 0xb0, 0x3d, 0x32, 0x0f, 0xe2, 0x3e, 0x28, 0x34, 0xd5, 0xd6, 0x1d,
0xbb, 0x1f, 0x51, 0x9b, 0x3f, 0x41, 0xf8, 0xf9, 0x46, 0x15, 0x2b, 0xf0, 0xc3, 0xf2,
0x47, 0xd1, 0x18, 0x07,
],
alpha: [
0xff, 0xd1, 0xa1, 0x27, 0x32, 0x52, 0xb1, 0x87, 0xf4, 0xed, 0x32, 0x6d, 0xfc, 0x98,
0x85, 0x3e, 0x29, 0x17, 0xc2, 0xb3, 0x63, 0x79, 0xb1, 0x75, 0xda, 0x63, 0xb9, 0xef,
0x6d, 0xda, 0x6c, 0x08,
],
rsk: [
0x60, 0x87, 0x38, 0x3b, 0x30, 0x55, 0x9b, 0x31, 0x60, 0x90, 0x85, 0xb9, 0x00, 0x96,
0x45, 0xce, 0xb6, 0xa0, 0xc6, 0x61, 0x25, 0x99, 0xd7, 0x28, 0x80, 0x72, 0x8e, 0x61,
0x24, 0x4e, 0x7d, 0x03,
],
rvk: [
0xc1, 0xba, 0xbc, 0xb6, 0xea, 0xe2, 0xb9, 0x94, 0xee, 0x6d, 0x65, 0xc1, 0x0b, 0x9d,
0xad, 0x59, 0x40, 0xdc, 0x73, 0x5b, 0x07, 0x50, 0x4d, 0xae, 0xd1, 0xe4, 0x6b, 0x07,
0x09, 0xb4, 0x51, 0x36,
],
m: [
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00,
],
sig: [
0xdc, 0xa3, 0xbb, 0x2c, 0xb8, 0xf0, 0x48, 0xcc, 0xab, 0x10, 0xae, 0xd7, 0x75, 0x46,
0xc1, 0xdb, 0xb1, 0x0c, 0xc4, 0xfb, 0x15, 0xab, 0x02, 0xac, 0xae, 0xf9, 0x44, 0xdd,
0xab, 0x8b, 0x67, 0x22, 0x54, 0x5f, 0xda, 0x4c, 0x62, 0x04, 0x6d, 0x69, 0xd9, 0x8f,
0x92, 0x2f, 0x4e, 0x8c, 0x21, 0x0b, 0xc4, 0x7b, 0x4f, 0xdd, 0xe0, 0xa1, 0x94, 0x71,
0x79, 0x80, 0x4c, 0x1a, 0xce, 0x56, 0x90, 0x05,
],
rsig: [
0x70, 0xc2, 0x84, 0x50, 0x4e, 0x90, 0xf0, 0x00, 0x8e, 0x8e, 0xd2, 0x20, 0x8f, 0x49,
0x69, 0x72, 0x7a, 0x41, 0x5e, 0xc3, 0x10, 0x2c, 0x29, 0x9e, 0x39, 0x8b, 0x6c, 0x16,
0x57, 0x2b, 0xd9, 0x64, 0x3e, 0xe1, 0x01, 0x17, 0x66, 0x68, 0x1e, 0x40, 0x6e, 0xe6,
0xbe, 0xe3, 0xd0, 0x3e, 0xe8, 0xf2, 0x71, 0x76, 0xe3, 0x2f, 0xba, 0xbd, 0xde, 0xd2,
0x0b, 0x0d, 0x17, 0x86, 0xa4, 0xee, 0x18, 0x01,
],
},
TestVector {
sk: [
0x05, 0x96, 0x54, 0xf9, 0x61, 0x27, 0x3d, 0xaf, 0xda, 0x3b, 0x26, 0x77, 0xb3, 0x5c,
0x18, 0xaf, 0x6b, 0x11, 0xad, 0xfb, 0x9e, 0xe9, 0x0b, 0x48, 0x93, 0x5e, 0x55, 0x7c,
0x8d, 0x5d, 0x9c, 0x04,
],
vk: [
0xfa, 0xf6, 0xc3, 0xb7, 0x37, 0xe8, 0xe6, 0x11, 0xaa, 0xfe, 0xa5, 0x2f, 0x03, 0xbb,
0x27, 0x86, 0xe1, 0x83, 0x53, 0xeb, 0xe0, 0xd3, 0x13, 0x9e, 0x3c, 0x54, 0x49, 0x87,
0x80, 0xc8, 0xc1, 0x99,
],
alpha: [
0xc3, 0x0b, 0x96, 0x20, 0x8d, 0xa8, 0x00, 0xe1, 0x0a, 0xf0, 0x25, 0x42, 0xce, 0x69,
0x4b, 0x7e, 0xd7, 0x6a, 0x28, 0x29, 0x9f, 0x85, 0x99, 0x8e, 0x5d, 0x61, 0x08, 0x12,
0x68, 0x1b, 0xf0, 0x03,
],
rsk: [
0xc8, 0xa1, 0xea, 0x19, 0xef, 0xcf, 0x3d, 0x90, 0xe5, 0x2b, 0x4c, 0xb9, 0x81, 0xc6,
0x63, 0x2d, 0x43, 0x7c, 0xd5, 0x24, 0x3e, 0x6f, 0xa5, 0xd6, 0xf0, 0xbf, 0x5d, 0x8e,
0xf5, 0x78, 0x8c, 0x08,
],
rvk: [
0xd5, 0x24, 0xdc, 0xe7, 0x73, 0x40, 0x69, 0x75, 0x8a, 0x91, 0xf0, 0x07, 0xa8, 0x69,
0x50, 0x5d, 0xfc, 0x4a, 0xba, 0x17, 0x20, 0x59, 0x4d, 0x4d, 0x74, 0xf0, 0x07, 0x70,
0x0e, 0x62, 0xee, 0x00,
],
m: [
0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01,
0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01,
0x01, 0x01, 0x01, 0x01,
],
sig: [
0xb5, 0xa1, 0xf3, 0x2d, 0x3d, 0x50, 0xfc, 0x73, 0x8b, 0x5c, 0x3b, 0x4e, 0x99, 0x60,
0x72, 0x9c, 0xe4, 0x31, 0x6b, 0xa7, 0x72, 0x1a, 0x12, 0x68, 0x66, 0x04, 0xfe, 0xba,
0x6b, 0xd7, 0x48, 0x45, 0x00, 0x70, 0xcb, 0x92, 0x24, 0x06, 0xfd, 0xfc, 0x5d, 0x60,
0xde, 0xa9, 0xbe, 0x3a, 0x52, 0x6a, 0x16, 0xcf, 0xeb, 0x87, 0x77, 0x79, 0xfb, 0x78,
0x2d, 0x5d, 0x41, 0x39, 0x5b, 0x45, 0x5f, 0x04,
],
rsig: [
0x5a, 0x5a, 0x20, 0xd2, 0x00, 0xef, 0xdd, 0xd4, 0x98, 0xdf, 0xae, 0x2a, 0x9e, 0xf8,
0xcf, 0x01, 0x28, 0x1a, 0x89, 0x19, 0x01, 0x8a, 0x82, 0x4c, 0xc7, 0xa4, 0x98, 0x3b,
0x9a, 0x0d, 0x4a, 0x06, 0xff, 0x17, 0x20, 0x79, 0xe0, 0x13, 0xd4, 0x2a, 0x2a, 0x3a,
0x88, 0xa6, 0x52, 0x0c, 0x86, 0xfc, 0xe3, 0xb9, 0x8e, 0x1e, 0xfa, 0xa3, 0x25, 0x83,
0x2a, 0x6a, 0x56, 0x58, 0xd8, 0xdd, 0x7c, 0x0a,
],
},
TestVector {
sk: [
0xad, 0xe7, 0xab, 0xb5, 0x51, 0xc7, 0x9d, 0x0f, 0x0e, 0x42, 0xef, 0x7f, 0x12, 0x06,
0xb8, 0x77, 0x12, 0xa8, 0x4a, 0x61, 0xde, 0xa3, 0xf3, 0x7b, 0x42, 0x49, 0x6d, 0x7e,
0xfd, 0x12, 0x52, 0x0c,
],
vk: [
0x36, 0x9e, 0xa7, 0x51, 0x76, 0x2f, 0x83, 0x9d, 0x25, 0x70, 0x1a, 0x5e, 0xeb, 0x55,
0x1e, 0xc4, 0xf0, 0x6c, 0x12, 0x90, 0xb3, 0xb9, 0xc3, 0xa7, 0x24, 0x40, 0x2d, 0xec,
0x02, 0x73, 0x92, 0x21,
],
alpha: [
0x81, 0x92, 0x25, 0x29, 0xa6, 0x3e, 0xe7, 0x43, 0xfc, 0x4f, 0xbb, 0xac, 0x45, 0xc4,
0x98, 0x83, 0x16, 0xbc, 0x9b, 0x6e, 0x42, 0x8b, 0x01, 0xa8, 0xd3, 0x1f, 0xc1, 0xc2,
0xa6, 0xca, 0x62, 0x05,
],
rsk: [
0x77, 0x4d, 0xda, 0x07, 0x99, 0xf7, 0xed, 0x82, 0x87, 0x81, 0xe2, 0x5f, 0xc4, 0xa9,
0xe8, 0x54, 0x28, 0x29, 0xb2, 0xce, 0x1f, 0xf4, 0x8d, 0x1d, 0x6d, 0xb9, 0xfa, 0xdb,
0xb9, 0x28, 0x37, 0x03,
],
rvk: [
0x0d, 0x92, 0xad, 0x6d, 0x46, 0xed, 0xac, 0xd0, 0x23, 0xd4, 0xd2, 0xef, 0x70, 0x3a,
0x6c, 0xa0, 0xa7, 0x92, 0xcf, 0xc4, 0xb7, 0xda, 0x11, 0xc2, 0x35, 0x3b, 0xc8, 0x45,
0xa2, 0x7a, 0x97, 0x4d,
],
m: [
0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02,
0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02, 0x02,
0x02, 0x02, 0x02, 0x02,
],
sig: [
0x1f, 0x3e, 0x8a, 0x94, 0x31, 0x0c, 0x20, 0x71, 0xa7, 0x0f, 0x9d, 0xf5, 0xe7, 0x9a,
0xa9, 0xe8, 0x48, 0x5d, 0xec, 0xcb, 0x17, 0x8b, 0xdf, 0xf9, 0x80, 0x5f, 0xcb, 0xe6,
0xf7, 0xd5, 0x51, 0xee, 0xe3, 0xc3, 0x54, 0x2c, 0xa7, 0x5c, 0x9d, 0x8d, 0x4a, 0xdc,
0x54, 0xd7, 0x2c, 0x3d, 0xbe, 0x28, 0x62, 0x6d, 0x20, 0x78, 0x5b, 0xb7, 0xf5, 0x88,
0xc1, 0xa5, 0x82, 0xb8, 0x93, 0xdb, 0xb6, 0x01,
],
rsig: [
0xd1, 0x36, 0x21, 0x4c, 0x5d, 0x52, 0x8e, 0xa3, 0xd4, 0xcb, 0x7b, 0x63, 0x1a, 0x6b,
0xb0, 0x36, 0x06, 0x49, 0x73, 0xa1, 0x08, 0xb7, 0x33, 0xa5, 0xe3, 0xa4, 0x52, 0xab,
0x52, 0xa6, 0x59, 0xe5, 0x67, 0xcb, 0x55, 0xd2, 0x64, 0x4e, 0x74, 0xb6, 0xe8, 0x42,
0x6f, 0x2a, 0x7d, 0xd2, 0xa0, 0x4d, 0x2d, 0xda, 0x49, 0x35, 0xcc, 0x38, 0x20, 0xb7,
0x7a, 0x9c, 0x1a, 0xb6, 0x19, 0x86, 0x3c, 0x05,
],
},
TestVector {
sk: [
0xc9, 0xd2, 0xae, 0x1f, 0x6d, 0x32, 0xa6, 0x75, 0xd0, 0x9e, 0xb0, 0x82, 0x3f, 0x46,
0x7f, 0xa9, 0x21, 0xb3, 0x28, 0x4a, 0xcb, 0x35, 0xfa, 0xbd, 0xfc, 0x99, 0x4d, 0xe5,
0x49, 0xb8, 0x59, 0x0d,
],
vk: [
0x2d, 0x2f, 0x31, 0x6e, 0x5c, 0x36, 0x9a, 0xe4, 0xdd, 0x2c, 0x82, 0x5f, 0x3d, 0x86,
0x46, 0x00, 0x58, 0x40, 0x71, 0x84, 0x60, 0x3b, 0x21, 0x2c, 0xf3, 0x45, 0x9f, 0x36,
0xc8, 0x69, 0x7f, 0xd8,
],
alpha: [
0xeb, 0xbc, 0x89, 0x03, 0x11, 0x07, 0xc4, 0x4f, 0x47, 0x88, 0x9e, 0xd4, 0xd4, 0x37,
0x5a, 0x41, 0x14, 0xcf, 0x8a, 0x75, 0xdd, 0x33, 0xb9, 0x62, 0xf2, 0xd7, 0x59, 0xd3,
0xf4, 0xc6, 0xdf, 0x06,
],
rsk: [
0xfd, 0x62, 0x41, 0x4c, 0x1f, 0x2b, 0xd3, 0xf4, 0x94, 0x16, 0x87, 0x8a, 0x80, 0x5d,
0x71, 0x44, 0x35, 0x47, 0x7f, 0xbe, 0xa7, 0x2e, 0x4c, 0x1a, 0x46, 0xc2, 0x73, 0x53,
0x54, 0xca, 0xbb, 0x05,
],
rvk: [
0xf0, 0x43, 0x0e, 0x95, 0x3b, 0xe6, 0x0b, 0xf4, 0x38, 0xdb, 0xdc, 0xc2, 0x30, 0x3f,
0x0e, 0x32, 0xa6, 0xf7, 0xce, 0x2f, 0xbe, 0xdf, 0xb1, 0x3a, 0xc5, 0x18, 0xf7, 0x5a,
0x3f, 0xd1, 0x0e, 0xb5,
],
m: [
0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03,
0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03, 0x03,
0x03, 0x03, 0x03, 0x03,
],
sig: [
0x12, 0xc7, 0x8d, 0xdd, 0x20, 0xd3, 0x0a, 0x61, 0xf8, 0x93, 0x0c, 0x6f, 0xe0, 0x85,
0x0f, 0xd1, 0x12, 0xbb, 0x7b, 0xe8, 0x8b, 0x12, 0x38, 0xea, 0x33, 0xd6, 0xbe, 0xf8,
0x81, 0xc1, 0x02, 0xd1, 0x04, 0xaa, 0x36, 0x54, 0x4a, 0x78, 0x47, 0x1c, 0x9e, 0x28,
0x42, 0xe6, 0xfd, 0x42, 0x55, 0x83, 0x46, 0xcf, 0xf4, 0x31, 0x27, 0x03, 0x26, 0x66,
0xeb, 0x11, 0x6f, 0x44, 0x2a, 0x28, 0x48, 0x0c,
],
rsig: [
0x01, 0xba, 0xaa, 0x26, 0x27, 0x4c, 0x14, 0x9a, 0xcf, 0x12, 0xe1, 0xcc, 0xf5, 0x50,
0x7d, 0x56, 0x79, 0x04, 0x82, 0xf0, 0x67, 0xe5, 0xc9, 0x2b, 0x32, 0x19, 0xad, 0x6b,
0xf9, 0x11, 0x18, 0xcc, 0x3f, 0xce, 0x8d, 0x2a, 0x23, 0x19, 0x8a, 0x3b, 0x29, 0x0a,
0x7b, 0xf6, 0x8c, 0x2a, 0xc0, 0x7b, 0x5d, 0x90, 0x62, 0xb9, 0xf8, 0x68, 0x66, 0x2b,
0xb2, 0x52, 0x49, 0x12, 0xd4, 0x85, 0x6e, 0x0c,
],
},
TestVector {
sk: [
0x33, 0xbc, 0xd2, 0x86, 0x45, 0x41, 0xb8, 0xbb, 0x7f, 0xdc, 0x77, 0xa1, 0x9d, 0x97,
0x0f, 0x92, 0x4e, 0xae, 0xec, 0xf4, 0x10, 0x3c, 0x38, 0xc8, 0xd2, 0xb0, 0x66, 0x81,
0x42, 0xf2, 0x7d, 0x09,
],
vk: [
0x74, 0x17, 0x94, 0xe6, 0x2c, 0xf9, 0x32, 0x0c, 0x58, 0xba, 0xc5, 0x94, 0xa2, 0xb9,
0x0e, 0x34, 0x0a, 0x6d, 0x8a, 0x68, 0x05, 0x6f, 0x6e, 0xd5, 0xc7, 0x86, 0x8c, 0x5f,
0xf3, 0xe4, 0xd6, 0x16,
],
alpha: [
0x7c, 0xe7, 0x25, 0xa5, 0xfe, 0xf6, 0x1b, 0xd4, 0xa1, 0xe9, 0xc7, 0x73, 0x28, 0xe8,
0x21, 0x0e, 0xb7, 0x29, 0x2d, 0x95, 0x4c, 0x64, 0xe9, 0x9e, 0x8b, 0xed, 0xd0, 0x7a,
0xb3, 0xab, 0x0e, 0x0d,
],
rsk: [
0xf8, 0x76, 0x01, 0x55, 0xe5, 0x29, 0x3d, 0xbf, 0x9e, 0xb5, 0x77, 0x48, 0x32, 0x5f,
0xc9, 0xf9, 0x04, 0x9d, 0xe5, 0x88, 0x5c, 0x65, 0xba, 0x60, 0xb5, 0xee, 0x03, 0x97,
0x0b, 0xe9, 0x0e, 0x08,
],
rvk: [
0x66, 0x62, 0xba, 0x09, 0x95, 0x0a, 0xcc, 0xd2, 0xce, 0xa3, 0xc7, 0xa8, 0x12, 0x90,
0xcd, 0x59, 0x78, 0xa6, 0x2b, 0x5a, 0xc5, 0xbb, 0xc4, 0x8d, 0x9f, 0x58, 0x19, 0xcd,
0xc9, 0x64, 0x6f, 0x0a,
],
m: [
0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04,
0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04,
0x04, 0x04, 0x04, 0x04,
],
sig: [
0x77, 0x4a, 0xc4, 0x67, 0x3f, 0x09, 0xf3, 0xac, 0x57, 0x89, 0xb2, 0x86, 0xb5, 0xee,
0xcb, 0xed, 0xb2, 0x57, 0x23, 0x4e, 0x8c, 0xdf, 0xd9, 0x3f, 0x02, 0x89, 0x09, 0x78,
0xa6, 0xbb, 0xa6, 0x11, 0x69, 0xed, 0x48, 0xf9, 0xe1, 0xc9, 0xfd, 0x13, 0x19, 0xbd,
0x33, 0x0d, 0x2c, 0xf5, 0xb4, 0x91, 0x01, 0x0d, 0x69, 0xb0, 0x43, 0xf4, 0x64, 0x8b,
0xff, 0x55, 0x41, 0x62, 0xc6, 0xa6, 0xdc, 0x09,
],
rsig: [
0x7c, 0x6c, 0x49, 0x8d, 0xe0, 0x01, 0x78, 0x61, 0x09, 0xb3, 0x03, 0xa4, 0xc5, 0xdc,
0xb7, 0xfd, 0x07, 0x57, 0x50, 0xa0, 0xb9, 0xdf, 0x5e, 0x1e, 0x2a, 0x8e, 0x75, 0x47,
0xb7, 0xed, 0x70, 0xcc, 0x0b, 0x56, 0xa5, 0xbf, 0xa9, 0x65, 0x78, 0x43, 0xef, 0xd8,
0x9c, 0x66, 0xa8, 0x4f, 0x41, 0xd2, 0xb1, 0xb5, 0x07, 0x51, 0x19, 0x6b, 0x1e, 0x8c,
0x0c, 0x44, 0x98, 0x60, 0x06, 0x96, 0xa4, 0x04,
],
},
TestVector {
sk: [
0xca, 0x35, 0x06, 0xd6, 0xaf, 0x77, 0x67, 0xb5, 0x79, 0x0e, 0xf0, 0xc5, 0x19, 0x0f,
0xb3, 0xf3, 0x87, 0x7c, 0x4a, 0xab, 0x40, 0xe0, 0xdd, 0x65, 0x1a, 0xbb, 0xda, 0xcb,
0x54, 0x4e, 0xd0, 0x05,
],
vk: [
0xba, 0xb6, 0xcf, 0xb5, 0xc8, 0xea, 0x34, 0x91, 0x25, 0x1b, 0x46, 0xd5, 0x2a, 0xca,
0x25, 0xd9, 0xe9, 0xaf, 0x69, 0xfa, 0xa9, 0xb4, 0xe4, 0x0b, 0x03, 0xad, 0x00, 0x86,
0xde, 0x59, 0xb5, 0x1f,
],
alpha: [
0xbe, 0xa3, 0x87, 0x20, 0x3f, 0x43, 0x76, 0x0a, 0xd3, 0x7d, 0x61, 0xde, 0x0e, 0xb5,
0x9f, 0xca, 0x6c, 0xab, 0x75, 0x60, 0xdf, 0x64, 0xfa, 0xbb, 0x95, 0x11, 0x57, 0x9f,
0x6f, 0x68, 0x26, 0x06,
],
rsk: [
0x88, 0xd9, 0x8d, 0xf6, 0xee, 0xba, 0xdd, 0xbf, 0x4c, 0x8c, 0x51, 0xa4, 0x28, 0xc4,
0x52, 0xbe, 0xf4, 0x27, 0xc0, 0x0b, 0x20, 0x45, 0xd8, 0x21, 0xb0, 0xcc, 0x31, 0x6b,
0xc4, 0xb6, 0xf6, 0x0b,
],
rvk: [
0x11, 0x26, 0x7d, 0x14, 0xd5, 0xe0, 0xb2, 0xbb, 0x3c, 0xe0, 0x99, 0xe8, 0xef, 0x84,
0x49, 0x47, 0x1c, 0xbc, 0xfc, 0x69, 0x39, 0xa4, 0xb3, 0x48, 0xde, 0xa2, 0xc1, 0x73,
0x56, 0xa1, 0xe8, 0xdd,
],
m: [
0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05,
0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05,
0x05, 0x05, 0x05, 0x05,
],
sig: [
0x9a, 0x25, 0x42, 0x9f, 0x3e, 0xfd, 0x9b, 0x2f, 0x7d, 0xe2, 0x9e, 0x45, 0x12, 0x8d,
0xd7, 0xb7, 0x60, 0xf0, 0x50, 0x8c, 0xd9, 0x58, 0x21, 0x82, 0xab, 0xaf, 0x53, 0xdd,
0x76, 0xc0, 0x34, 0x2c, 0xe4, 0x1b, 0x4a, 0xcf, 0x8e, 0x0a, 0x48, 0x24, 0xe4, 0x11,
0x08, 0xc2, 0x02, 0x65, 0x73, 0x11, 0x4b, 0x60, 0xbe, 0xec, 0xb1, 0x74, 0x01, 0x2a,
0x2b, 0xdb, 0xee, 0xcb, 0xaa, 0x00, 0xb5, 0x06,
],
rsig: [
0xcf, 0xf5, 0x83, 0x57, 0x13, 0xbe, 0x07, 0xfb, 0xe1, 0x25, 0xbb, 0xf2, 0x7a, 0x63,
0x6a, 0xdd, 0x13, 0x1c, 0x90, 0x81, 0x71, 0x6c, 0x52, 0xfd, 0xa8, 0x75, 0x42, 0x6d,
0x03, 0x98, 0x2c, 0xd2, 0x7e, 0xbd, 0x14, 0xb4, 0x22, 0x7b, 0x83, 0x96, 0x15, 0xfd,
0x03, 0x71, 0xbf, 0xdb, 0x8a, 0x30, 0xab, 0xdd, 0xff, 0x74, 0xd7, 0x95, 0xf3, 0xe2,
0x7d, 0x1d, 0x47, 0xc6, 0x29, 0x46, 0x9b, 0x08,
],
},
TestVector {
sk: [
0xbc, 0x27, 0x83, 0x8d, 0xe2, 0xa6, 0x14, 0xcf, 0xba, 0x6c, 0x3e, 0x92, 0x2a, 0x8f,
0x84, 0x24, 0xd9, 0x85, 0x6f, 0x68, 0x16, 0xf3, 0xbc, 0x61, 0x02, 0x31, 0x3b, 0x7f,
0xaf, 0x5c, 0x3a, 0x0c,
],
vk: [
0xd7, 0x9b, 0xe9, 0xff, 0x22, 0x9a, 0x2e, 0x35, 0xf5, 0xbc, 0xa4, 0x48, 0xe5, 0xeb,
0x4a, 0x8a, 0xa9, 0x7f, 0xb4, 0x18, 0x02, 0x91, 0x25, 0xcf, 0xba, 0xa7, 0x8a, 0x91,
0xa3, 0x82, 0xb0, 0x94,
],
alpha: [
0x21, 0xa7, 0x15, 0x0e, 0x19, 0x4f, 0xed, 0xfe, 0xf9, 0x0c, 0x5d, 0x10, 0xe4, 0x20,
0x85, 0x8b, 0xca, 0x40, 0x04, 0x04, 0x0e, 0xb6, 0x81, 0xd1, 0x4e, 0x75, 0xc4, 0x47,
0x13, 0x51, 0xcb, 0x02,
],
rsk: [
0x26, 0xa2, 0xa1, 0xc4, 0x9c, 0xe7, 0x6a, 0xfd, 0x31, 0x69, 0xd3, 0xd5, 0x7a, 0x8f,
0xa1, 0x09, 0xa3, 0x8b, 0x3f, 0x6b, 0x23, 0x6e, 0xd7, 0x2c, 0xa8, 0xf6, 0xcb, 0x61,
0xd8, 0xf8, 0x87, 0x00,
],
rvk: [
0x54, 0xbf, 0x1b, 0xe7, 0x2e, 0x6d, 0x41, 0x20, 0x8b, 0x8a, 0xec, 0x11, 0x61, 0xd3,
0xba, 0x59, 0x51, 0x9f, 0xb9, 0x3d, 0xa0, 0x1a, 0x55, 0xe6, 0x78, 0xe2, 0x75, 0x20,
0x06, 0x60, 0x36, 0xc9,
],
m: [
0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06,
0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06,
0x06, 0x06, 0x06, 0x06,
],
sig: [
0xbb, 0xe0, 0x23, 0x59, 0x87, 0xc6, 0xe0, 0xec, 0x68, 0x6d, 0xdb, 0x8a, 0x65, 0x72,
0x66, 0xad, 0x60, 0x5f, 0x7b, 0x75, 0x95, 0x5b, 0xb0, 0xe8, 0x02, 0xf8, 0x81, 0x64,
0xa0, 0xff, 0xe1, 0x0c, 0x3b, 0x73, 0x85, 0x04, 0xab, 0xb3, 0xd1, 0x05, 0x62, 0xb9,
0x27, 0xb3, 0xd2, 0x9f, 0xe9, 0xb0, 0xd3, 0x56, 0x28, 0x6a, 0xea, 0xe5, 0xa2, 0xac,
0x9e, 0x43, 0x5f, 0x20, 0x79, 0x1a, 0xf8, 0x00,
],
rsig: [
0x6d, 0xe3, 0x2b, 0x54, 0x15, 0xd7, 0x7a, 0x90, 0x5f, 0x09, 0x03, 0x90, 0x2a, 0x11,
0x7e, 0xda, 0x79, 0x3c, 0x70, 0x8e, 0x23, 0xa5, 0x42, 0x45, 0xba, 0x8a, 0x8d, 0x1f,
0xe0, 0x26, 0x75, 0x23, 0x23, 0x15, 0x65, 0xe0, 0x57, 0x09, 0xae, 0xd9, 0x6c, 0x22,
0x1f, 0xb1, 0xf3, 0xd0, 0x42, 0x04, 0x35, 0x03, 0xff, 0x33, 0x85, 0x85, 0xa9, 0xbb,
0x98, 0x9c, 0x9d, 0xd4, 0x30, 0xd6, 0xd6, 0x0b,
],
},
TestVector {
sk: [
0xb2, 0x08, 0x59, 0xb8, 0x8e, 0xe3, 0x33, 0x8a, 0x64, 0x95, 0x4f, 0x8a, 0x9e, 0x8e,
0x9b, 0xf3, 0xe7, 0x11, 0x5a, 0xcf, 0x7c, 0x6e, 0x7f, 0x01, 0x43, 0x2c, 0x5f, 0x76,
0x96, 0xd2, 0xd0, 0x05,
],
vk: [
0xa8, 0x1f, 0xe6, 0x84, 0x6d, 0xbe, 0x0a, 0x75, 0xc0, 0xf4, 0x9b, 0x21, 0x32, 0x32,
0xbe, 0xad, 0xd1, 0xf9, 0xa5, 0x64, 0x67, 0x3d, 0x25, 0xb9, 0x1e, 0xe0, 0xf1, 0x7c,
0xe9, 0xca, 0xa3, 0x63,
],
alpha: [
0x44, 0xd9, 0x08, 0xe1, 0xc1, 0x5e, 0x6b, 0xd9, 0x38, 0x0a, 0x8b, 0x23, 0x5a, 0xce,
0x02, 0xfa, 0xc1, 0xc0, 0x87, 0x94, 0x45, 0x4b, 0xcd, 0xb4, 0xa6, 0xf4, 0x8c, 0xea,
0x78, 0xa7, 0x4a, 0x04,
],
rsk: [
0xf6, 0xe1, 0x61, 0x99, 0x50, 0x42, 0x9f, 0x63, 0x9d, 0x9f, 0xda, 0xad, 0xf8, 0x5c,
0x9e, 0xed, 0xa9, 0xd2, 0xe1, 0x63, 0xc2, 0xb9, 0x4c, 0xb6, 0xe9, 0x20, 0xec, 0x60,
0x0f, 0x7a, 0x1b, 0x0a,
],
rvk: [
0x0b, 0x68, 0xd5, 0x0f, 0x91, 0x3c, 0xd1, 0xb7, 0x8b, 0x59, 0x92, 0x1e, 0x16, 0x56,
0xd5, 0x76, 0xb0, 0xeb, 0x17, 0x1e, 0xd3, 0x87, 0x0d, 0x39, 0xfe, 0xc6, 0x94, 0x41,
0xb3, 0x4b, 0x25, 0x38,
],
m: [
0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
0x07, 0x07, 0x07, 0x07,
],
sig: [
0x44, 0x6d, 0x67, 0x7c, 0x4c, 0xfe, 0xfd, 0x02, 0x4b, 0x0a, 0xeb, 0x37, 0xa5, 0x98,
0xcc, 0x2e, 0xb3, 0xd2, 0x9b, 0x02, 0x94, 0xfe, 0x5b, 0xb6, 0x97, 0x8e, 0x8b, 0x43,
0xd3, 0x2b, 0x2e, 0x4f, 0x09, 0x56, 0xac, 0xd1, 0x3e, 0x7e, 0x3a, 0x63, 0xa1, 0x8f,
0xca, 0x32, 0xd6, 0xab, 0x94, 0xb9, 0x4e, 0xd0, 0x33, 0xe9, 0xa1, 0x0f, 0xc5, 0x69,
0x28, 0xbc, 0x8a, 0x0f, 0x4f, 0x8e, 0x95, 0x00,
],
rsig: [
0x8d, 0xe0, 0x41, 0xe7, 0x09, 0xdb, 0x62, 0x4a, 0xe2, 0xbe, 0x16, 0x48, 0xb6, 0x62,
0x23, 0x9c, 0xde, 0xdf, 0x85, 0xec, 0xd3, 0x82, 0x26, 0x8b, 0x0e, 0x35, 0x54, 0xbf,
0xa0, 0xf2, 0x08, 0x1c, 0xd6, 0x41, 0xbc, 0xa0, 0x40, 0x78, 0xaa, 0x89, 0xf7, 0xdd,
0x25, 0x40, 0x58, 0x7c, 0xed, 0x6b, 0x45, 0x89, 0x16, 0xb1, 0x3e, 0x4b, 0x6a, 0x36,
0x30, 0xda, 0x69, 0x76, 0x46, 0xdb, 0xbf, 0x09,
],
},
TestVector {
sk: [
0x32, 0x16, 0xae, 0x47, 0xe9, 0xf5, 0x3e, 0x8a, 0x52, 0x79, 0x6f, 0x24, 0xb6, 0x24,
0x60, 0x77, 0x6b, 0xd5, 0xf2, 0x05, 0xa7, 0x8e, 0x15, 0x95, 0xbc, 0x8e, 0xfe, 0xdc,
0x51, 0x9d, 0x36, 0x0b,
],
vk: [
0xdf, 0x74, 0xbf, 0x04, 0x79, 0x61, 0xcc, 0x5c, 0xda, 0xc8, 0x28, 0x90, 0xc7, 0x6e,
0xc6, 0x75, 0xbd, 0x4e, 0x89, 0xea, 0xd2, 0x80, 0xc9, 0x52, 0xd7, 0xc3, 0x3e, 0xea,
0xf2, 0xb5, 0xa6, 0x6b,
],
alpha: [
0xc9, 0x61, 0xf2, 0xdd, 0x93, 0x68, 0x2a, 0xdb, 0x93, 0xf5, 0xc0, 0x5a, 0x73, 0xfd,
0xbc, 0x6d, 0x43, 0xc7, 0x0e, 0x1b, 0x15, 0xe8, 0xd5, 0x3e, 0x3f, 0x17, 0xa8, 0x24,
0x94, 0xe3, 0xf2, 0x09,
],
rsk: [
0x44, 0x4b, 0xa9, 0x4e, 0x1e, 0x50, 0xd2, 0x94, 0x63, 0x5e, 0x68, 0xb2, 0x95, 0x01,
0xb5, 0x3e, 0xae, 0x61, 0xcd, 0x1f, 0xbb, 0x3b, 0x84, 0xcd, 0x52, 0xf6, 0x72, 0x9c,
0xfb, 0xcb, 0xab, 0x06,
],
rvk: [
0x0a, 0xfb, 0xe4, 0x06, 0xa8, 0x91, 0xc3, 0xb8, 0xc3, 0x10, 0xc2, 0x15, 0xbc, 0x68,
0xa9, 0x13, 0xde, 0x7c, 0xda, 0x06, 0xaf, 0x29, 0x42, 0x00, 0x56, 0x46, 0x8d, 0x0c,
0x08, 0x85, 0x5b, 0x28,
],
m: [
0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
0x08, 0x08, 0x08, 0x08,
],
sig: [
0x99, 0x35, 0x80, 0xef, 0x93, 0x34, 0x9a, 0x1c, 0x9e, 0xe9, 0x60, 0xca, 0x3e, 0x7c,
0xd0, 0x4c, 0x13, 0xb4, 0xa0, 0xec, 0x4f, 0xd1, 0x80, 0x53, 0xa1, 0x9c, 0xff, 0x77,
0x63, 0x62, 0x09, 0x65, 0xfb, 0xee, 0x96, 0xc1, 0x64, 0x72, 0x30, 0xe3, 0x73, 0xcb,
0x82, 0xb8, 0x1d, 0x00, 0x03, 0x92, 0x23, 0xd3, 0x0b, 0x39, 0x3e, 0xd1, 0x72, 0xc9,
0xb3, 0xc5, 0x63, 0xc6, 0x11, 0x79, 0x22, 0x05,
],
rsig: [
0xcc, 0x7a, 0xae, 0x1c, 0xed, 0xad, 0x2d, 0x7f, 0x6c, 0xe0, 0x4c, 0x19, 0xc5, 0xa5,
0xb6, 0xb7, 0xa6, 0xa0, 0x82, 0x78, 0x5c, 0x54, 0x0c, 0x14, 0xf6, 0x30, 0x9b, 0x06,
0x4d, 0x1f, 0xfa, 0x68, 0x17, 0x29, 0x53, 0xfb, 0xa0, 0xc2, 0xfc, 0xfb, 0x87, 0x5c,
0xa7, 0xf7, 0xea, 0x98, 0xef, 0x55, 0xa0, 0x40, 0x2f, 0xd5, 0x29, 0xcf, 0xcd, 0xdf,
0x99, 0x6c, 0xa2, 0xb8, 0xca, 0x89, 0x90, 0x0a,
],
},
TestVector {
sk: [
0x85, 0x83, 0x6f, 0x98, 0x32, 0xb2, 0x8d, 0xe7, 0xc6, 0x36, 0x13, 0xe2, 0xa6, 0xed,
0x36, 0xfb, 0x1a, 0xb4, 0x4f, 0xb0, 0xc1, 0x3f, 0xa8, 0x79, 0x8c, 0xd9, 0xcd, 0x30,
0x30, 0xd4, 0x55, 0x03,
],
vk: [
0xbf, 0xd5, 0xbc, 0x00, 0xc7, 0xc0, 0x22, 0xaa, 0x89, 0x01, 0xae, 0x08, 0x3c, 0x12,
0xd5, 0x4b, 0x82, 0xf0, 0xdd, 0xff, 0x8e, 0xd6, 0xdb, 0x9a, 0x12, 0xd5, 0x9a, 0x5e,
0xf6, 0xa5, 0xa2, 0xe0,
],
alpha: [
0xa2, 0xe8, 0xb9, 0xe1, 0x6d, 0x6f, 0xf3, 0xca, 0x6c, 0x53, 0xd4, 0xe8, 0x8a, 0xbb,
0xb9, 0x9b, 0xe7, 0xaf, 0x7e, 0x36, 0x59, 0x63, 0x1f, 0x1e, 0xae, 0x1e, 0xff, 0x23,
0x87, 0x4d, 0x8e, 0x0c,
],
rsk: [
0x70, 0x3f, 0x32, 0xa3, 0x41, 0x13, 0xea, 0xe1, 0xb0, 0x79, 0x1f, 0xfe, 0x9d, 0x88,
0x88, 0xf0, 0x01, 0x29, 0x9a, 0xe5, 0x19, 0x68, 0x60, 0x91, 0x91, 0x48, 0x99, 0xef,
0xcc, 0x6c, 0x66, 0x01,
],
rvk: [
0xeb, 0x92, 0x97, 0x03, 0x6c, 0xf5, 0x17, 0xe1, 0x5e, 0x9e, 0xfe, 0x39, 0x75, 0x32,
0x8d, 0xb4, 0x8e, 0xe7, 0xc2, 0x69, 0x4e, 0x94, 0x6d, 0xb2, 0x5f, 0x52, 0x87, 0x88,
0xf6, 0xa1, 0xdb, 0x14,
],
m: [
0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09,
0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09, 0x09,
0x09, 0x09, 0x09, 0x09,
],
sig: [
0xce, 0x90, 0xdd, 0xf4, 0xaf, 0x21, 0xaa, 0xc4, 0xd9, 0x41, 0x93, 0xea, 0x16, 0xff,
0x35, 0xcd, 0x93, 0x79, 0x20, 0x4e, 0x7d, 0x8f, 0xf4, 0xc0, 0xf5, 0x41, 0x17, 0xab,
0xb1, 0x6b, 0x7c, 0x85, 0xa0, 0xb1, 0x97, 0xcf, 0x13, 0xab, 0x14, 0xd7, 0xc3, 0xba,
0x68, 0x01, 0x0a, 0xb8, 0x05, 0x12, 0x25, 0x91, 0x3b, 0xdb, 0xc3, 0x9a, 0x51, 0xf6,
0x03, 0x7a, 0xfc, 0x6c, 0xee, 0xcb, 0x0b, 0x06,
],
rsig: [
0xa8, 0x47, 0x74, 0x2e, 0x94, 0x01, 0xcf, 0x22, 0x39, 0x21, 0x3d, 0xc8, 0x81, 0x3e,
0x97, 0x72, 0xe9, 0x7a, 0xf8, 0xd6, 0x7a, 0xdf, 0xfe, 0xab, 0xc8, 0xe6, 0x7f, 0x5d,
0x2d, 0x90, 0xd0, 0xb4, 0x1b, 0xc2, 0x5b, 0x05, 0xf9, 0x4a, 0xce, 0x16, 0x8a, 0xec,
0xc6, 0x58, 0x3e, 0x18, 0xf7, 0x63, 0x74, 0x92, 0xf3, 0x7a, 0x9c, 0xa3, 0x00, 0x20,
0x2b, 0xc0, 0x65, 0xab, 0xd3, 0x80, 0xec, 0x00,
],
},
]
}