Parameters

Sources

• ANSI X9.63

Characteristics

• OID:
  1.3.132.0.38

SAGE

F.<x> = GF(2)[]
K = GF(2^571, name="x", modulus=u^571 +  u^10 +  u^5 +  u^2 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000), 0, 0, K.from_integer(0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001)))
E.set_order(0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001 * 0x4)
G = E(K.from_integer(0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972), K.from_integer(0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3))

JSON

{
  "name": "ansit571k1",
  "desc": "",
  "oid": "1.3.132.0.38",
  "sources": [
    {
      "name": "ANSI X9.63",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9632011r2017"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "poly": [
      {
        "power": 571,
        "coeff": "0x01"
      },
      {
        "power": 10,
        "coeff": "0x01"
      },
      {
        "power": 5,
        "coeff": "0x01"
      },
      {
        "power": 2,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "bits": 571,
    "degree": 571,
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
    },
    "b": {
      "raw": "0x000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001"
    }
  },
  "generator": {
    "x": {
      "raw": "0x026eb7a859923fbc82189631f8103fe4ac9ca2970012d5d46024804801841ca44370958493b205e647da304db4ceb08cbbd1ba39494776fb988b47174dca88c7e2945283a01c8972"
    },
    "y": {
      "raw": "0x0349dc807f4fbf374f4aeade3bca95314dd58cec9f307a54ffc61efc006d8a2c9d4979c0ac44aea74fbebbb9f772aedcb620b01a7ba7af1b320430c8591984f601cd4c143ef1c7a3"
    }
  },
  "order": "0x020000000000000000000000000000000000000000000000000000000000000000000000131850e1f19a63e4b391a8db917f4138b630d84be5d639381e91deb45cfe778f637c1001",
  "cofactor": "0x4",
  "aliases": [
    "nist/K-571",
    "secg/sect571k1"
  ]
}