Parameters

Characteristics

• OID:
  1.2.840.10045.3.0.12
• Seed:
  2AA6982FDFA4D696E676875615175D266727277D

SAGE

F.<x> = GF(2)[]
K = GF(2^239, name="x", modulus= x^239 +  x^36 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x4230017757a767fae42398569b746325d45313af0766266479b75654e65f), 0, 0, K.fetch_int(0x5037ea654196cff0cd82b2c14a2fcf2e3ff8775285b545722f03eacdb74b)))
E.set_order(0x1555555555555555555555555555553c6f2885259c31e3fcdf154624522d * 0x6)
G = E(K.fetch_int(0x28f9d04e900069c8dc47a08534fe76d2b900b7d7ef31f5709f200c4ca205), K.fetch_int(0x5667334c45aff3b5a03bad9dd75e2c71a99362567d5453f7fa6e227ec833))

JSON

{
  "name": "c2tnb239v2",
  "desc": "",
  "oid": "1.2.840.10045.3.0.12",
  "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": "0x4230017757a767fae42398569b746325d45313af0766266479b75654e65f"
    },
    "b": {
      "raw": "0x5037ea654196cff0cd82b2c14a2fcf2e3ff8775285b545722f03eacdb74b"
    }
  },
  "generator": {
    "x": {
      "raw": "0x28f9d04e900069c8dc47a08534fe76d2b900b7d7ef31f5709f200c4ca205"
    },
    "y": {
      "raw": "0x5667334c45aff3b5a03bad9dd75e2c71a99362567d5453f7fa6e227ec833"
    }
  },
  "order": "0x1555555555555555555555555555553c6f2885259c31e3fcdf154624522d",
  "cofactor": "0x6",
  "characteristics": {
    "seed": "2AA6982FDFA4D696E676875615175D266727277D"
  }
}