From 5f8de423f190bbb79a62f804151bc24824fa32d8 Mon Sep 17 00:00:00 2001 From: "Matt A. Tobin" Date: Fri, 2 Feb 2018 04:16:08 -0500 Subject: Add m-esr52 at 52.6.0 --- python/PyECC/ecc/curves.py | 81 ++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 81 insertions(+) create mode 100644 python/PyECC/ecc/curves.py (limited to 'python/PyECC/ecc/curves.py') diff --git a/python/PyECC/ecc/curves.py b/python/PyECC/ecc/curves.py new file mode 100644 index 000000000..ee5847fc5 --- /dev/null +++ b/python/PyECC/ecc/curves.py @@ -0,0 +1,81 @@ +# +# Predefined Elliptic Curves +# for use in signing and key exchange +# +''' +Predefined elliptic curves for use in signing and key exchange. +This Module implements FIPS approved standard curves P-192, P-224, P-256, +P-384 and P-521 along with two weak non-standard curves of field size 128 +and 160 bits. + +The weak curves cannot be used for signing but provide a faster way to +obfuscate non-critical transmissions. +''' + +# FIPS approved elliptic curves over prime fields +# (see FIPS 186-3, Appendix D.1.2) +DOMAINS = { + # Bits : (p, order of E(GF(P)), parameter b, base point x, base point y) + 192 : (0xfffffffffffffffffffffffffffffffeffffffffffffffffL, + 0xffffffffffffffffffffffff99def836146bc9b1b4d22831L, + 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1L, + 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012L, + 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811L), + + 224 : (0xffffffffffffffffffffffffffffffff000000000000000000000001L, + 0xffffffffffffffffffffffffffff16a2e0b8f03e13dd29455c5c2a3dL, + 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4L, + 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21L, + 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34L), + + 256 : (0xffffffff00000001000000000000000000000000ffffffffffffffffffffffffL, + 0xffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551L, + 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604bL, + 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296L, + 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5L), + + 384 : (0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff0000000000000000ffffffffL, + 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf581a0db248b0a77aecec196accc52973L, + 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aefL, + 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7L, + 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5fL), + + 521 : (0x1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffL, + 0x1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409L, + 0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00L, + 0x0c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66L, + 0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650L) + } + + +# Additional non-standard curves for low security but high performance +# (not intended for use in signing, hence the missing group order) + +DOMAINS.update({ + 128 : (0xffffffffffffffffffffffffffffff61L, + None, + 0xd83d3eb8266a89927d73d5fe263d5f23L, + 0xa94d2d8531f7af8bde367def12b98eadL, + 0x9f44e1d671beb68fd2df7f877ab13fa6L), + + 160 : (0xffffffffffffffffffffffffffffffffffffffd1L, + None, + 0x94bfe70deef7b94742c089ca4db3ca27fbe1f754L, + 0xcc6562c2969ac57524b8d0f300d1f598c908c121L, + 0x952ddde80a252683dd7ba90fb5919899b5af69f5L) + }) + +CURVE_P = 3 # global parameter of all curves (for efficiency reasons) + + +def get_curve(bits): + '''Get a known curve of the given size => (bits, prime, order, p, q, point). + Order may be None if unknown.''' + if bits in DOMAINS: + p, n, b, x, y = DOMAINS[bits] + return bits, p, n, CURVE_P, p - b, (x, y) + else: + raise KeyError, "Key size not implemented: %s" % bits + +def implemented_keys(must_sign = False): + return [k for k in DOMAINS if not must_sign or DOMAINS[k][1]] -- cgit v1.2.3