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96 lines
3.2 KiB
Python
96 lines
3.2 KiB
Python
from common import *
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from trezor.crypto import cosi, random
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from trezor.crypto.curve import ed25519
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class TestCryptoEd25519Cosi(unittest.TestCase):
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def random_signers(self, N: int) -> tuple[list[bytes], list[bytes]]:
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keys = []
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pubkeys = []
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for j in range(N):
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keys.append(ed25519.generate_secret())
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pubkeys.append(ed25519.publickey(keys[j]))
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return keys, pubkeys
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def cosign(
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self, message: bytes, keys: list[bytes], pubkeys: list[bytes]
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) -> tuple[bytes, bytes]:
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# phase 0: combine pubkeys
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pubkey = cosi.combine_publickeys(pubkeys)
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# phase 1: create nonces, commitments (R values) and combine commitments
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nonces = []
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Rs = []
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for _ in range(len(keys)):
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nonce, R = cosi.commit()
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nonces.append(nonce)
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Rs.append(R)
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R = ed25519.cosi_combine_publickeys(Rs)
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# phase 2: sign and combine signatures
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sigs = []
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for key, nonce in zip(keys, nonces):
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sigs.append(cosi.sign(key, message, nonce, R, pubkey))
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return pubkey, cosi.combine_signatures(R, sigs)
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def test_cosi(self):
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for N in range(1, 11):
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# generate random inputs
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msg = random.bytes(128)
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keys, pubkeys = self.random_signers(N)
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# generate combined signature
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pubkey, sig = self.cosign(msg, keys, pubkeys)
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# check signature using normal ed25519.verify
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res = ed25519.verify(pubkey, sig, msg)
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self.assertTrue(res)
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def test_select_keys(self):
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keys, pubkeys = self.random_signers(5)
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# try all possible combinations of signers = all 5-bit sigmasks
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for sigmask in range(1, 32):
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selected_keys = cosi.select_keys(sigmask, keys)
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selected_pubkeys = cosi.select_keys(sigmask, pubkeys)
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# check that the selection picks the right key combinations
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for key, pubkey in zip(selected_keys, selected_pubkeys):
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self.assertEqual(ed25519.publickey(key), pubkey)
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# count number of ones
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count = 0
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for i in range(5):
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if sigmask & (1 << i):
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count += 1
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self.assertEqual(len(selected_keys), count)
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self.assertEqual(len(selected_pubkeys), count)
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def test_verify(self):
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keys, all_pubkeys = self.random_signers(5)
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# try all possible combinations of signers = all 5-bit sigmasks
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for sigmask in range(1, 32):
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message = random.bytes(128)
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selected_keys = cosi.select_keys(sigmask, keys)
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selected_pubkeys = cosi.select_keys(sigmask, all_pubkeys)
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_, sig = self.cosign(message, selected_keys, selected_pubkeys)
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res = cosi.verify(sig, message, len(selected_keys), all_pubkeys, sigmask)
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self.assertTrue(res)
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res = cosi.verify(sig, message, 1, all_pubkeys, sigmask)
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self.assertTrue(res)
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res = cosi.verify(
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sig, message, len(selected_keys) + 1, all_pubkeys, sigmask
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)
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self.assertFalse(res)
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if __name__ == "__main__":
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unittest.main()
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