Parameters

Characteristics

• OID:
  1.2.840.10045.3.0.17

SAGE

F.<x> = GF(2)[]
K = GF(2^304, name="x", modulus= x^304 +  x^11 +  x^2 +  x^1 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0xfd0d693149a118f651e6dce6802085377e5f882d1b510b44160074c1288078365a0396c8e681), 0, 0, K.fetch_int(0xbddb97e555a50a908e43b01c798ea5daa6788f1ea2794efcf57166b8c14039601e55827340be)))
E.set_order(0x0101d556572aabac800101d556572aabac8001022d5c91dd173f8fb561da6899164443051d * 0xfe2e)
G = E(K.fetch_int(0x197b07845e9be2d96adb0f5f3c7f2cffbd7a3eb8b6fec35c7fd67f26ddf6285a644f740a2614), K.fetch_int(0xe19fbeb76e0da171517ecf401b50289bf014103288527a9b416a105e80260b549fdc1b92c03b))

JSON

{
  "name": "c2pnb304w1",
  "desc": "",
  "oid": "1.2.840.10045.3.0.17",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 304,
    "degree": 304,
    "poly": [
      {
        "coeff": "0x01",
        "power": 304
      },
      {
        "coeff": "0x01",
        "power": 11
      },
      {
        "coeff": "0x01",
        "power": 2
      },
      {
        "coeff": "0x01",
        "power": 1
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0xfd0d693149a118f651e6dce6802085377e5f882d1b510b44160074c1288078365a0396c8e681"
    },
    "b": {
      "raw": "0xbddb97e555a50a908e43b01c798ea5daa6788f1ea2794efcf57166b8c14039601e55827340be"
    }
  },
  "generator": {
    "x": {
      "raw": "0x197b07845e9be2d96adb0f5f3c7f2cffbd7a3eb8b6fec35c7fd67f26ddf6285a644f740a2614"
    },
    "y": {
      "raw": "0xe19fbeb76e0da171517ecf401b50289bf014103288527a9b416a105e80260b549fdc1b92c03b"
    }
  },
  "order": "0x0101d556572aabac800101d556572aabac8001022d5c91dd173f8fb561da6899164443051d",
  "cofactor": "0xfe2e"
}