Skip to main content

Standard curve database

Search

ansit283r1

283-bit binary field Weierstrass curve.
Also known as: B-283sect283r1
y2+xyx3+ax2+by^2 + xy \equiv x^3 + ax^2 + b

Parameters

NameValue
m283
f(x) x^283 + x^12 + x^7 + x^5 + 1
a0x000000000000000000000000000000000000000000000000000000000000000000000001
b0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5
G(0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053, 0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4)
n0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307
h0x2

Characteristics

  • OID:
    1.3.132.0.17

SAGE

F.<x> = GF(2)[]
K = GF(2^283, name="x", modulus= x^283 + x^12 + x^7 + x^5 + 1)
E = EllipticCurve(K, (1, K.fetch_int(0x000000000000000000000000000000000000000000000000000000000000000000000001), 0, 0, K.fetch_int(0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5)))
E.set_order(0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307 * 0x2)
G = E(K.fetch_int(0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053), K.fetch_int(0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4))


JSON

{
"name": "ansit283r1",
"desc": "",
"oid": "1.3.132.0.17",
"form": "Weierstrass",
"field": {
"type": "Binary",
"bits": 283,
"degree": 283,
"poly": [
{
"coeff": "0x01",
"power": 283
},
{
"coeff": "0x01",
"power": 12
},
{
"coeff": "0x01",
"power": 7
},
{
"coeff": "0x01",
"power": 5
},
{
"coeff": "0x01",
"power": 0
}
],
"basis": "poly"
},
"params": {
"a": {
"raw": "0x000000000000000000000000000000000000000000000000000000000000000000000001"
},
"b": {
"raw": "0x027b680ac8b8596da5a4af8a19a0303fca97fd7645309fa2a581485af6263e313b79a2f5"
}
},
"generator": {
"x": {
"raw": "0x05f939258db7dd90e1934f8c70b0dfec2eed25b8557eac9c80e2e198f8cdbecd86b12053"
},
"y": {
"raw": "0x03676854fe24141cb98fe6d4b20d02b4516ff702350eddb0826779c813f0df45be8112f4"
}
},
"order": "0x03ffffffffffffffffffffffffffffffffffef90399660fc938a90165b042a7cefadb307",
"cofactor": "0x2",
"aliases": [
"nist/B-283",
"secg/sect283r1"
]
}

© 2020 Jan Jancar | Built with Dox theme for Gatsby