Parameters

Sources

• ANSI X9.62

Characteristics

• OID:
  1.2.840.10045.3.0.18
• Seed:
  2B354920B724D696E67687561517585BA1332DC6
• j-invariant:
  560683547724970662615670155854166980367109254071334508774280563081904281842335582790868629892374657775169138
• Trace of Frobenius:
  892492397682618518080660149488378363069332596639535741
• Discriminant:
  334380845298260243536066243443522977322200436197311316831749741364919382672231752831927054698721330755475848

SAGE

F.<x> = GF(2)[]
K = GF(2^359, name="x", modulus=u^359 +  u^68 + 1)
E = EllipticCurve(K, (1, K.from_integer(0x5667676a654b20754f356ea92017d946567c46675556f19556a04616b567d223a5e05656fb549016a96656a557), 0, 0, K.from_integer(0x2472e2d0197c49363f1fe7f5b6db075d52b6947d135d8ca445805d39bc345626089687742b6329e70680231988)))
E.set_order(0x01af286bca1af286bca1af286bca1af286bca1af286bc9fb8f6b85c556892c20a7eb964fe7719e74f490758d3b * 0x4c)
G = E(K.from_integer(0x3c258ef3047767e7ede0f1fdaa79daee3841366a132e163aced4ed2401df9c6bdcde98e8e707c07a2239b1b097), K.from_integer(0x53d7e08529547048121e9c95f3791dd804963948f34fae7bf44ea82365dc7868fe57e4ae2de211305a407104bd))

JSON

{
  "name": "c2tnb359v1",
  "desc": "",
  "oid": "1.2.840.10045.3.0.18",
  "sources": [
    {
      "name": "ANSI X9.62",
      "url": "https://webstore.ansi.org/standards/ascx9/ansix9621998"
    }
  ],
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 359,
    "degree": 359,
    "poly": [
      {
        "power": 359,
        "coeff": "0x01"
      },
      {
        "power": 68,
        "coeff": "0x01"
      },
      {
        "power": 0,
        "coeff": "0x01"
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x5667676a654b20754f356ea92017d946567c46675556f19556a04616b567d223a5e05656fb549016a96656a557"
    },
    "b": {
      "raw": "0x2472e2d0197c49363f1fe7f5b6db075d52b6947d135d8ca445805d39bc345626089687742b6329e70680231988"
    }
  },
  "generator": {
    "x": {
      "raw": "0x3c258ef3047767e7ede0f1fdaa79daee3841366a132e163aced4ed2401df9c6bdcde98e8e707c07a2239b1b097"
    },
    "y": {
      "raw": "0x53d7e08529547048121e9c95f3791dd804963948f34fae7bf44ea82365dc7868fe57e4ae2de211305a407104bd"
    }
  },
  "order": "0x01af286bca1af286bca1af286bca1af286bca1af286bc9fb8f6b85c556892c20a7eb964fe7719e74f490758d3b",
  "cofactor": "0x4c",
  "characteristics": {
    "seed": "2B354920B724D696E67687561517585BA1332DC6",
    "discriminant": "334380845298260243536066243443522977322200436197311316831749741364919382672231752831927054698721330755475848",
    "j_invariant": "560683547724970662615670155854166980367109254071334508774280563081904281842335582790868629892374657775169138",
    "trace_of_frobenius": "892492397682618518080660149488378363069332596639535741"
  }
}