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Diffstat (limited to 'bip-0340/test-vectors.py')
| -rw-r--r-- | bip-0340/test-vectors.py | 241 |
1 files changed, 241 insertions, 0 deletions
diff --git a/bip-0340/test-vectors.py b/bip-0340/test-vectors.py new file mode 100644 index 0000000..195b61b --- /dev/null +++ b/bip-0340/test-vectors.py @@ -0,0 +1,241 @@ +import sys +from reference import * + +def vector0(): + seckey = bytes_from_int(1) + msg = bytes_from_int(0) + sig = schnorr_sign(msg, seckey) + pubkey = pubkey_gen(seckey) + + # The point reconstructed from the public key has an even Y coordinate. + pubkey_point = point_from_bytes(pubkey) + assert(pubkey_point[1] & 1 == 0) + + return (seckey, pubkey, msg, sig, "TRUE", None) + +def vector1(): + seckey = bytes_from_int(0xB7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF) + msg = bytes_from_int(0x243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89) + sig = schnorr_sign(msg, seckey) + pubkey = pubkey_gen(seckey) + + # The point reconstructed from the public key has an odd Y coordinate. + pubkey_point = point_from_bytes(pubkey) + assert(pubkey_point[1] & 1 == 1) + + return (seckey, pubkey, msg, sig, "TRUE", None) + +def vector2(): + seckey = bytes_from_int(0xC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B14E5C9) + msg = bytes_from_int(0x5E2D58D8B3BCDF1ABADEC7829054F90DDA9805AAB56C77333024B9D0A508B75C) + sig = schnorr_sign(msg, seckey) + + # This signature vector would not verify if the implementer checked the + # squareness of the X coordinate of R instead of the Y coordinate. + R = point_from_bytes(sig[0:32]) + assert(not is_square(R[0])) + + return (seckey, pubkey_gen(seckey), msg, sig, "TRUE", None) + +def vector3(): + seckey = bytes_from_int(0x0B432B2677937381AEF05BB02A66ECD012773062CF3FA2549E44F58ED2401710) + msg = bytes_from_int(0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) + sig = schnorr_sign(msg, seckey) + return (seckey, pubkey_gen(seckey), msg, sig, "TRUE", "test fails if msg is reduced modulo p or n") + +# Signs with a given nonce. This can be INSECURE and is only INTENDED FOR +# GENERATING TEST VECTORS. Results in an invalid signature if y(kG) is not +# square. +def insecure_schnorr_sign_fixed_nonce(msg, seckey0, k): + if len(msg) != 32: + raise ValueError('The message must be a 32-byte array.') + seckey0 = int_from_bytes(seckey0) + if not (1 <= seckey0 <= n - 1): + raise ValueError('The secret key must be an integer in the range 1..n-1.') + P = point_mul(G, seckey0) + seckey = seckey0 if has_square_y(P) else n - seckey0 + R = point_mul(G, k) + e = int_from_bytes(tagged_hash("BIPSchnorr", bytes_from_point(R) + bytes_from_point(P) + msg)) % n + return bytes_from_point(R) + bytes_from_int((k + e * seckey) % n) + +# Creates a singature with a small x(R) by using k = 1/2 +def vector4(): + one_half = 0x7fffffffffffffffffffffffffffffff5d576e7357a4501ddfe92f46681b20a0 + seckey = bytes_from_int(0x763758E5CBEEDEE4F7D3FC86F531C36578933228998226672F13C4F0EBE855EB) + msg = bytes_from_int(0x4DF3C3F68FCC83B27E9D42C90431A72499F17875C81A599B566C9889B9696703) + sig = insecure_schnorr_sign_fixed_nonce(msg, seckey, one_half) + return (None, pubkey_gen(seckey), msg, sig, "TRUE", None) + +default_seckey = bytes_from_int(0xB7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF) +default_msg = bytes_from_int(0x243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89) + +# Public key is not on the curve +def vector5(): + # This creates a dummy signature that doesn't have anything to do with the + # public key. + seckey = default_seckey + msg = default_msg + sig = schnorr_sign(msg, seckey) + + pubkey = bytes_from_int(0xEEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34) + assert(point_from_bytes(pubkey) is None) + + return (None, pubkey, msg, sig, "FALSE", "public key not on the curve") + +def vector6(): + seckey = default_seckey + msg = default_msg + k = 3 + sig = insecure_schnorr_sign_fixed_nonce(msg, seckey, k) + + # Y coordinate of R is not a square + R = point_mul(G, k) + assert(not has_square_y(R)) + + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "has_square_y(R) is false") + +def vector7(): + seckey = default_seckey + msg = int_from_bytes(default_msg) + neg_msg = bytes_from_int(n - msg) + sig = schnorr_sign(neg_msg, seckey) + return (None, pubkey_gen(seckey), bytes_from_int(msg), sig, "FALSE", "negated message") + +def vector8(): + seckey = default_seckey + msg = default_msg + sig = schnorr_sign(msg, seckey) + sig = sig[0:32] + bytes_from_int(n - int_from_bytes(sig[32:64])) + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "negated s value") + +def bytes_from_point_inf0(P): + if P == None: + return bytes_from_int(0) + return bytes_from_int(P[0]) + +def vector9(): + seckey = default_seckey + msg = default_msg + + # Override bytes_from_point in schnorr_sign to allow creating a signature + # with k = 0. + k = 0 + bytes_from_point_tmp = bytes_from_point.__code__ + bytes_from_point.__code__ = bytes_from_point_inf0.__code__ + sig = insecure_schnorr_sign_fixed_nonce(msg, seckey, k) + bytes_from_point.__code__ = bytes_from_point_tmp + + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "sG - eP is infinite. Test fails in single verification if has_square_y(inf) is defined as true and x(inf) as 0") + +def bytes_from_point_inf1(P): + if P == None: + return bytes_from_int(1) + return bytes_from_int(P[0]) + +def vector10(): + seckey = default_seckey + msg = default_msg + + # Override bytes_from_point in schnorr_sign to allow creating a signature + # with k = 0. + k = 0 + bytes_from_point_tmp = bytes_from_point.__code__ + bytes_from_point.__code__ = bytes_from_point_inf1.__code__ + sig = insecure_schnorr_sign_fixed_nonce(msg, seckey, k) + bytes_from_point.__code__ = bytes_from_point_tmp + + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "sG - eP is infinite. Test fails in single verification if has_square_y(inf) is defined as true and x(inf) as 1") + +# It's cryptographically impossible to create a test vector that fails if run +# in an implementation which merely misses the check that sig[0:32] is an X +# coordinate on the curve. This test vector just increases test coverage. +def vector11(): + seckey = default_seckey + msg = default_msg + sig = schnorr_sign(msg, seckey) + + # Replace R's X coordinate with an X coordinate that's not on the curve + x_not_on_curve = bytes_from_int(0x4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D) + assert(point_from_bytes(x_not_on_curve) is None) + sig = x_not_on_curve + sig[32:64] + + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "sig[0:32] is not an X coordinate on the curve") + +# It's cryptographically impossible to create a test vector that fails if run +# in an implementation which merely misses the check that sig[0:32] is smaller +# than the field size. This test vector just increases test coverage. +def vector12(): + seckey = default_seckey + msg = default_msg + sig = schnorr_sign(msg, seckey) + + # Replace R's X coordinate with an X coordinate that's equal to field size + sig = bytes_from_int(p) + sig[32:64] + + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "sig[0:32] is equal to field size") + +# It's cryptographically impossible to create a test vector that fails if run +# in an implementation which merely misses the check that sig[32:64] is smaller +# than the curve order. This test vector just increases test coverage. +def vector13(): + seckey = default_seckey + msg = default_msg + sig = schnorr_sign(msg, seckey) + + # Replace s with a number that's equal to the curve order + sig = sig[0:32] + bytes_from_int(n) + + return (None, pubkey_gen(seckey), msg, sig, "FALSE", "sig[32:64] is equal to curve order") + +# Test out of range pubkey +# It's cryptographically impossible to create a test vector that fails if run +# in an implementation which accepts out of range pubkeys because we can't find +# a secret key for such a public key and therefore can not create a signature. +# This test vector just increases test coverage. +def vector14(): + # This creates a dummy signature that doesn't have anything to do with the + # public key. + seckey = default_seckey + msg = default_msg + sig = schnorr_sign(msg, seckey) + + pubkey_int = p + 1 + pubkey = bytes_from_int(pubkey_int) + assert(point_from_bytes(pubkey) is None) + # If an implementation would reduce a given public key modulo p then the + # pubkey would be valid + assert(point_from_bytes(bytes_from_int(pubkey_int % p)) is not None) + + return (None, pubkey, msg, sig, "FALSE", "public key is not a valid X coordinate because it exceeds the field size") + +vectors = [ + vector0(), + vector1(), + vector2(), + vector3(), + vector4(), + vector5(), + vector6(), + vector7(), + vector8(), + vector9(), + vector10(), + vector11(), + vector12(), + vector13(), + vector14() + ] + +# Converts the byte strings of a test vector into hex strings +def bytes_to_hex(seckey, pubkey, msg, sig, result, comment): + return (seckey.hex().upper() if seckey is not None else None, pubkey.hex().upper(), msg.hex().upper(), sig.hex().upper(), result, comment) + +vectors = list(map(lambda vector: bytes_to_hex(vector[0], vector[1], vector[2], vector[3], vector[4], vector[5]), vectors)) + +def print_csv(vectors): + writer = csv.writer(sys.stdout) + writer.writerow(("index", "secret key", "public key", "message", "signature", "verification result", "comment")) + for (i,v) in enumerate(vectors): + writer.writerow((i,)+v) + +print_csv(vectors) |