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Merge pull request #121 from jonasnick/add-test-vector
Fix point_from_bytes accepting out-of-range pubkeys and add test vector
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3f62751809
@ -53,6 +53,8 @@ def bytes_from_point(P):
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def point_from_bytes(b):
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x = int_from_bytes(b)
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if x >= p:
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return None
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y_sq = (pow(x, 3, p) + 7) % p
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y = pow(y_sq, (p + 1) // 4, p)
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if pow(y, 2, p) != y_sq:
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@ -13,3 +13,4 @@ index,secret key,public key,message,signature,verification result,comment
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11,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,4A298DACAE57395A15D0795DDBFD1DCB564DA82B0F269BC70A74F8220429BA1D4160BCFC3F466ECB8FACD19ADE57D8699D74E7207D78C6AEDC3799B52A8E0598,FALSE,sig[0:32] is not an X coordinate on the curve
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12,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F4160BCFC3F466ECB8FACD19ADE57D8699D74E7207D78C6AEDC3799B52A8E0598,FALSE,sig[0:32] is equal to field size
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13,,DFF1D77F2A671C5F36183726DB2341BE58FEAE1DA2DECED843240F7B502BA659,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,667C2F778E0616E611BD0C14B8A600C5884551701A949EF0EBFD72D452D64E84FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141,FALSE,sig[32:64] is equal to curve order
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14,,FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC30,243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89,667C2F778E0616E611BD0C14B8A600C5884551701A949EF0EBFD72D452D64E844160BCFC3F466ECB8FACD19ADE57D8699D74E7207D78C6AEDC3799B52A8E0598,FALSE,public key is not a valid X coordinate because it exceeds the field size
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@ -69,12 +69,14 @@ def vector4():
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default_seckey = bytes_from_int(0xB7E151628AED2A6ABF7158809CF4F3C762E7160F38B4DA56A784D9045190CFEF)
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default_msg = bytes_from_int(0x243F6A8885A308D313198A2E03707344A4093822299F31D0082EFA98EC4E6C89)
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# Public key is not on the curve
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def vector5():
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# This creates a dummy signature that doesn't have anything to do with the
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# public key.
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seckey = default_seckey
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msg = default_msg
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sig = schnorr_sign(msg, seckey)
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# Public key is not on the curve
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pubkey = bytes_from_int(0xEEFDEA4CDB677750A420FEE807EACF21EB9898AE79B9768766E4FAA04A2D4A34)
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assert(point_from_bytes(pubkey) is None)
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@ -185,6 +187,27 @@ def vector13():
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return (None, pubkey_gen(seckey), msg, sig, "FALSE", "sig[32:64] is equal to curve order")
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# Test out of range pubkey
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# It's cryptographically impossible to create a test vector that fails if run
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# in an implementation which accepts out of range pubkeys because we can't find
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# a secret key for such a public key and therefore can not create a signature.
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# This test vector just increases test coverage.
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def vector14():
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# This creates a dummy signature that doesn't have anything to do with the
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# public key.
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seckey = default_seckey
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msg = default_msg
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sig = schnorr_sign(msg, seckey)
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pubkey_int = p + 1
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pubkey = bytes_from_int(pubkey_int)
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assert(point_from_bytes(pubkey) is None)
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# If an implementation would reduce a given public key modulo p then the
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# pubkey would be valid
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assert(point_from_bytes(bytes_from_int(pubkey_int % p)) is not None)
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return (None, pubkey, msg, sig, "FALSE", "public key is not a valid X coordinate because it exceeds the field size")
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vectors = [
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vector0(),
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vector1(),
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@ -200,6 +223,7 @@ vectors = [
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vector11(),
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vector12(),
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vector13(),
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vector14()
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]
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# Converts the byte strings of a test vector into hex strings
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