Parameters

Characteristics

• OID:
  1.2.840.10045.3.0.13
• Seed:
  9E076F4D696E676875615175E11E9FDD

SAGE

F.<x> = GF(2)[]
K = GF(2^239, name="x", modulus= x^239 +  x^36 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x01238774666a67766d6676f778e676b66999176666e687666d8766c66a9f), 0, 0, K.fetch_int(0x6a941977ba9f6a435199acfc51067ed587f519c5ecb541b8e44111de1d40)))
E.set_order(0x0cccccccccccccccccccccccccccccac4912d2d9df903ef9888b8a0e4cff * 0x0a)
G = E(K.fetch_int(0x70f6e9d04d289c4e89913ce3530bfde903977d42b146d539bf1bde4e9c92), K.fetch_int(0x2e5a0eaf6e5e1305b9004dce5c0ed7fe59a35608f33837c816d80b79f461))

JSON

{
  "name": "c2tnb239v3",
  "desc": "",
  "oid": "1.2.840.10045.3.0.13",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 239,
    "degree": 239,
    "poly": [
      {
        "coeff": "0x01",
        "power": 239
      },
      {
        "coeff": "0x01",
        "power": 36
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x01238774666a67766d6676f778e676b66999176666e687666d8766c66a9f"
    },
    "b": {
      "raw": "0x6a941977ba9f6a435199acfc51067ed587f519c5ecb541b8e44111de1d40"
    }
  },
  "generator": {
    "x": {
      "raw": "0x70f6e9d04d289c4e89913ce3530bfde903977d42b146d539bf1bde4e9c92"
    },
    "y": {
      "raw": "0x2e5a0eaf6e5e1305b9004dce5c0ed7fe59a35608f33837c816d80b79f461"
    }
  },
  "order": "0x0cccccccccccccccccccccccccccccac4912d2d9df903ef9888b8a0e4cff",
  "cofactor": "0x0a",
  "characteristics": {
    "seed": "9E076F4D696E676875615175E11E9FDD"
  }
}