Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.16

SAGE

F.<x> = GF(2)[]
K = GF(2^283, name="x", modulus=u^283 +  u^12 +  u^7 +  u^5 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x000000000000000000000000000000000000000000000000000000000000000000000000), 0, 0, K.from_integer(0x000000000000000000000000000000000000000000000000000000000000000000000001)))
E.set_order(0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61 * 0x4)
G = E(K.from_integer(0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836), K.from_integer(0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259))

JSON

{
  "name": "ansit283k1",
  "desc": "",
  "oid": "1.3.132.0.16",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 283,
    "degree": 283,
    "poly": [
      {
        "power": 283,
        "coeff": "0x01"
      },
      {
        "power": 12,
        "coeff": "0x01"
      },
      {
        "power": 7,
        "coeff": "0x01"
      },
      {
        "power": 5,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "generator": {
    "x": {
      "raw": "0x0503213f78ca44883f1a3b8162f188e553cd265f23c1567a16876913b0c2ac2458492836"
    },
    "y": {
      "raw": "0x01ccda380f1c9e318d90f95d07e5426fe87e45c0e8184698e45962364e34116177dd2259"
    }
  },
  "order": "0x01ffffffffffffffffffffffffffffffffffe9ae2ed07577265dff7f94451e061e163c61",
  "cofactor": "0x4",
  "aliases": [
    "nist/K-283",
    "secg/sect283k1"
  ]
}