wap-wsg-idm-ecid-wtls1

113-bit binary field Weierstrass curve.

y^2 + xy \equiv x^3 + ax^2 + b

Parameters

Name	Value
m113	`113`
f(x) x^113 + x^9 + 1	`x^113 + x^9 + 1`
a0x1	`0x1`
b0x1	`0x1`
G(0x01667979a40ba497e5d5c270780617, 0x00f44b4af1ecc2630e08785cebcc15)	`(0x01667979a40ba497e5d5c270780617, 0x00f44b4af1ecc2630e08785cebcc15)`
n0x00fffffffffffffffdbf91af6dea73	`0x00fffffffffffffffdbf91af6dea73`
h0x2	`0x2`

Characteristics

OID:
2.23.43.1.4.1

SAGE

F.<x> = GF(2)[]
K = GF(2^113, name="x", modulus= x^113 +  x^9 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x1), 0, 0, K.fetch_int(0x1)))
E.set_order(0x00fffffffffffffffdbf91af6dea73 * 0x2)
G = E(K.fetch_int(0x01667979a40ba497e5d5c270780617), K.fetch_int(0x00f44b4af1ecc2630e08785cebcc15))

F.<x> = GF(2)[]
K = GF(2^113, name="x", modulus= x^113 +  x^9 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x1), 0, 0, K.fetch_int(0x1)))
E.set_order(0x00fffffffffffffffdbf91af6dea73 * 0x2)
G = E(K.fetch_int(0x01667979a40ba497e5d5c270780617), K.fetch_int(0x00f44b4af1ecc2630e08785cebcc15))

SAGE

JSON

{
  "name": "wap-wsg-idm-ecid-wtls1",
  "desc": "",
  "oid": "2.23.43.1.4.1",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 113,
    "degree": 113,
    "poly": [
      {
        "coeff": "0x01",
        "power": 113
      },
      {
        "coeff": "0x01",
        "power": 9
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x1"
    },
    "b": {
      "raw": "0x1"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01667979a40ba497e5d5c270780617"
    },
    "y": {
      "raw": "0x00f44b4af1ecc2630e08785cebcc15"
    }
  },
  "order": "0x00fffffffffffffffdbf91af6dea73",
  "cofactor": "0x2"
}

{
  "name": "wap-wsg-idm-ecid-wtls1",
  "desc": "",
  "oid": "2.23.43.1.4.1",
  "form": "Weierstrass",
  "field": {
    "type": "Binary",
    "bits": 113,
    "degree": 113,
    "poly": [
      {
        "coeff": "0x01",
        "power": 113
      },
      {
        "coeff": "0x01",
        "power": 9
      },
      {
        "coeff": "0x01",
        "power": 0
      }
    ],
    "basis": "poly"
  },
  "params": {
    "a": {
      "raw": "0x1"
    },
    "b": {
      "raw": "0x1"
    }
  },
  "generator": {
    "x": {
      "raw": "0x01667979a40ba497e5d5c270780617"
    },
    "y": {
      "raw": "0x00f44b4af1ecc2630e08785cebcc15"
    }
  },
  "order": "0x00fffffffffffffffdbf91af6dea73",
  "cofactor": "0x2"
}

JSON