RFC5832

Parameters

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97
K = GF(p)
a = K(0x01)
d = K(0x605f6b7c183fa81578bc39cfad518132b9df62897009af7e522c32d6dc7bffb)
E = EllipticCurve(K, (K(-1/48) * (a^2 + 14*a*d + d^2),K(1/864) * (a + d) * (-a^2 + 34*a*d - d^2)))
def to_weierstrass(a, d, x, y):
	return ((5*a + a*y - 5*d*y - d)/(12 - 12*y), (a + a*y - d*y -d)/(4*x - 4*x*y))
def to_twistededwards(a, d, u, v):
	y = (5*a - 12*u - d)/(-12*u - a + 5*d)
	x = (a + a*y - d*y -d)/(4*v - 4*v*y)
	return (x, y)
G = E(*to_weierstrass(a, d, K(0x0d), K(0x60ca1e32aa475b348488c38fab07649ce7ef8dbe87f22e81f92b2592dba300e7)))
E.set_order(0x400000000000000000000000000000000fd8cddfc87b6635c115af556c360c67 * 0x4)
# This curve is a Weierstrass curve (SAGE does not support TwistedEdwards curves) birationally equivalent to the intended curve.
# You can use the to_weierstrass and to_twistededwards functions to convert the points.

JSON

{
  "name": "id-tc26-gost-3410-2012-256-paramSetA",
  "desc": "RFC5832",
  "form": "TwistedEdwards",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd97",
    "bits": 256
  },
  "params": {
    "a": {
      "raw": "0x01"
    },
    "d": {
      "raw": "0x605f6b7c183fa81578bc39cfad518132b9df62897009af7e522c32d6dc7bffb"
    }
  },
  "generator": {
    "x": {
      "raw": "0x0d"
    },
    "y": {
      "raw": "0x60ca1e32aa475b348488c38fab07649ce7ef8dbe87f22e81f92b2592dba300e7"
    }
  },
  "order": "0x400000000000000000000000000000000fd8cddfc87b6635c115af556c360c67",
  "cofactor": "0x4"
}