mirror of
https://github.com/trezor/trezor-firmware.git
synced 2024-12-22 22:38:08 +00:00
90 lines
2.6 KiB
Python
90 lines
2.6 KiB
Python
import sys
|
|
from functools import reduce
|
|
import binascii
|
|
|
|
from . import ed25519raw
|
|
|
|
|
|
def combine_keys(pks):
|
|
P = [ed25519raw.decodepoint(pk) for pk in pks]
|
|
combine = reduce(ed25519raw.edwards, P)
|
|
return ed25519raw.encodepoint(combine)
|
|
|
|
|
|
def combine_sig(R, sigs):
|
|
S = [ed25519raw.decodeint(si) for si in sigs]
|
|
s = sum(S) % ed25519raw.l
|
|
sig = R + ed25519raw.encodeint(s)
|
|
return sig
|
|
|
|
|
|
def get_nonce(sk, data, ctr):
|
|
h = ed25519raw.H(sk)
|
|
b = ed25519raw.b
|
|
r = ed25519raw.Hint(bytes([h[i] for i in range(b >> 3, b >> 2)]) + data + binascii.unhexlify('%08x' % ctr))
|
|
R = ed25519raw.scalarmult(ed25519raw.B, r)
|
|
return r, ed25519raw.encodepoint(R)
|
|
|
|
|
|
def self_test(digest):
|
|
|
|
def to_hex(by):
|
|
return binascii.hexlify(by).decode()
|
|
|
|
N = 3
|
|
keyset = [0, 2]
|
|
|
|
digest = binascii.unhexlify(digest)
|
|
print('Digest: %s' % to_hex(digest))
|
|
sks = []
|
|
pks = []
|
|
nonces = []
|
|
commits = []
|
|
sigs = []
|
|
for i in range(0, N):
|
|
print('----- Key %d ------' % (i + 1))
|
|
seckey = (chr(0x41 + i) * 32).encode()
|
|
pubkey = ed25519raw.publickey(seckey)
|
|
print('Secret Key: %s' % to_hex(seckey))
|
|
print('Public Key: %s' % to_hex(pubkey))
|
|
sks.append(seckey)
|
|
pks.append(pubkey)
|
|
ctr = 0
|
|
r, R = get_nonce(seckey, digest, ctr)
|
|
print('Local nonce: %s' % to_hex(ed25519raw.encodeint(r)))
|
|
print('Local commit: %s' % to_hex(R))
|
|
nonces.append(r)
|
|
commits.append(R)
|
|
|
|
global_pk = combine_keys([pks[i] for i in keyset])
|
|
global_R = combine_keys([commits[i] for i in keyset])
|
|
print('-----------------')
|
|
print('Global pubkey: %s' % to_hex(global_pk))
|
|
print('Global commit: %s' % to_hex(global_R))
|
|
print('-----------------')
|
|
|
|
for i in range(0, N):
|
|
seckey = sks[i]
|
|
pubkey = pks[i]
|
|
r = nonces[i]
|
|
R = commits[i]
|
|
h = ed25519raw.H(seckey)
|
|
b = ed25519raw.b
|
|
a = 2**(b - 2) + sum(2**i * ed25519raw.bit(h, i) for i in range(3, b - 2))
|
|
S = (r + ed25519raw.Hint(global_R + global_pk + digest) * a) % ed25519raw.l
|
|
print('Local sig %d: %s' % (i + 1, to_hex(ed25519raw.encodeint(S))))
|
|
sigs.append(ed25519raw.encodeint(S))
|
|
|
|
print('-----------------')
|
|
sig = combine_sig(global_R, [sigs[i] for i in keyset])
|
|
print('Global sig: %s' % to_hex(sig))
|
|
ed25519raw.checkvalid(sig, digest, global_pk)
|
|
print('Valid Signature!')
|
|
|
|
|
|
if __name__ == '__main__':
|
|
if len(sys.argv) > 1:
|
|
self_test(digest=sys.argv[1])
|
|
else:
|
|
self_test(digest='4a5e1e4baab89f3a32518a88c31bc87f618f76673e2cc77ab2127b7afdeda33b')
|