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w-384-mont

384-bit prime field Weierstrass curve.

Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.


y2x3+ax+by^2 \equiv x^3 + ax + b

Parameters

NameValue
p0xb0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
a0xb0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc
b0x6c96
n0xb0ffffffffffffffffffffffffffffffffffffffffffffffba9b7f14ca7512537a4edcd38a7c41da29be4894b298eebb
h0x01


SAGE

p = 0xb0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
K = GF(p)
a = K(0xb0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc)
b = K(0x6c96)
E = EllipticCurve(K, (a, b))
# No generator defined
E.set_order(0xb0ffffffffffffffffffffffffffffffffffffffffffffffba9b7f14ca7512537a4edcd38a7c41da29be4894b298eebb * 0x01)

PARI/GP

p = 0xb0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
a = Mod(0xb0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc, p)
b = Mod(0x6c96, p)
E = ellinit([a, b])
E[16][1] = 0xb0ffffffffffffffffffffffffffffffffffffffffffffffba9b7f14ca7512537a4edcd38a7c41da29be4894b298eebb * 0x01
\\ No generator defined

JSON

{
"name": "w-384-mont",
"desc": "Curve from https://eprint.iacr.org/2014/130.pdf. No generator present.",
"form": "Weierstrass",
"field": {
"type": "Prime",
"p": "0xb0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"bits": 384
},
"params": {
"a": {
"raw": "0xb0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc"
},
"b": {
"raw": "0x6c96"
}
},
"order": "0xb0ffffffffffffffffffffffffffffffffffffffffffffffba9b7f14ca7512537a4edcd38a7c41da29be4894b298eebb",
"cofactor": "0x01"
}

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