RFC5832

Parameters

SAGE

p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7
K = GF(p)
a = K(0x01)
d = K(0x9e4f5d8c017d8d9f13a5cf3cdf5bfe4dab402d54198e31ebde28a0621050439ca6b39e0a515c06b304e2ce43e79e369e91a0cfc2bc2a22b4ca302dbb33ee7550)
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(0x12), K(0x469af79d1fb1f5e16b99592b77a01e2a0fdfb0d01794368d9a56117f7b38669522dd4b650cf789eebf068c5d139732f0905622c04b2baae7600303ee73001a3d)))
E.set_order(0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc98cdba46506ab004c33a9ff5147502cc8eda9e7a769a12694623cef47f023ed * 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-3410-2012-512-paramSetC",
  "desc": "RFC5832",
  "form": "TwistedEdwards",
  "field": {
    "type": "Prime",
    "p": "0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdc7",
    "bits": 512
  },
  "params": {
    "a": {
      "raw": "0x01"
    },
    "d": {
      "raw": "0x9e4f5d8c017d8d9f13a5cf3cdf5bfe4dab402d54198e31ebde28a0621050439ca6b39e0a515c06b304e2ce43e79e369e91a0cfc2bc2a22b4ca302dbb33ee7550"
    }
  },
  "generator": {
    "x": {
      "raw": "0x12"
    },
    "y": {
      "raw": "0x469af79d1fb1f5e16b99592b77a01e2a0fdfb0d01794368d9a56117f7b38669522dd4b650cf789eebf068c5d139732f0905622c04b2baae7600303ee73001a3d"
    }
  },
  "order": "0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc98cdba46506ab004c33a9ff5147502cc8eda9e7a769a12694623cef47f023ed",
  "cofactor": "0x4"
}