Cleaned up/commented BIP 0032 key derivation.
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@ -388,7 +388,6 @@ def bip32_init(seed):
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def get_pubkeys_from_secret(secret):
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# public key
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curve = SECP256k1
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private_key = ecdsa.SigningKey.from_string( secret, curve = SECP256k1 )
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public_key = private_key.get_verifying_key()
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K = public_key.to_string()
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@ -397,7 +396,14 @@ def get_pubkeys_from_secret(secret):
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# Child private key derivation function (from master private key)
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# k = master private key (32 bytes)
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# c = master chain code (extra entropy for key derivation) (32 bytes)
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# n = the index of the key we want to derive. (only 32 bits will be used)
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# If n is negative (i.e. the 32nd bit is set), the resulting private key's
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# corresponding public key can NOT be determined without the master private key.
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# However, if n is positive, the resulting private key's corresponding
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# public key can be determined without the master private key.
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def CKD(k, c, n):
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import hmac
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from ecdsa.util import string_to_number, number_to_string
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@ -405,17 +411,22 @@ def CKD(k, c, n):
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keypair = EC_KEY(string_to_number(k))
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K = GetPubKey(keypair.pubkey,True)
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if n & BIP32_PRIME:
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if n & BIP32_PRIME: # We want to make a "secret" address that can't be determined from K
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data = chr(0) + k + rev_hex(int_to_hex(n,4)).decode('hex')
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I = hmac.new(c, data, hashlib.sha512).digest()
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else:
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else: # We want a "non-secret" address that can be determined from K
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I = hmac.new(c, K + rev_hex(int_to_hex(n,4)).decode('hex'), hashlib.sha512).digest()
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k_n = number_to_string( (string_to_number(I[0:32]) + string_to_number(k)) % order , order )
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c_n = I[32:]
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return k_n, c_n
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# Child public key derivation function (from public key only)
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# K = master public key
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# c = master chain code
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# n = index of key we want to derive
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# This function allows us to find the nth public key, as long as n is
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# non-negative. If n is negative, we need the master private key to find it.
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def CKD_prime(K, c, n):
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import hmac
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from ecdsa.util import string_to_number, number_to_string
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