Skip to main content

Standard curve database

Search

Oakley Group 4

185-bit binary field Weierstrass curve.

Defined in IETF in RFC2409, no generator present.


y2+xyx3+ax2+by^2 + xy \equiv x^3 + ax^2 + b

Parameters

NameValue
m185
f(x) x^185 + x^69 + 1
a0x0
b0x1ee9
n0x01ffffffffffffffffffffffdbf2f889b73e484175f94ebc
h0x01


SAGE

F.<x> = GF(2)[]
K = GF(2^185, name="x", modulus= x^185 + x^69 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x0), 0, 0, K.fetch_int(0x1ee9)))
E.set_order(0x01ffffffffffffffffffffffdbf2f889b73e484175f94ebc * 0x01)
# No generator defined


JSON

{
"name": "Oakley Group 4",
"desc": "Defined in IETF in RFC2409, no generator present.",
"form": "Weierstrass",
"field": {
"type": "Binary",
"bits": 185,
"degree": 185,
"poly": [
{
"coeff": "0x01",
"power": 185
},
{
"coeff": "0x01",
"power": 69
},
{
"coeff": "0x01",
"power": 0
}
],
"basis": "poly"
},
"params": {
"a": {
"raw": "0x0"
},
"b": {
"raw": "0x1ee9"
}
},
"order": "0x01ffffffffffffffffffffffdbf2f889b73e484175f94ebc",
"cofactor": "0x01"
}

© 2020 Jan Jancar | Built with Dox theme for Gatsby