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nums.go
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nums.go
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package nums
import (
"sync"
"math/big"
"encoding/asn1"
"crypto/elliptic"
)
// see http://www.watersprings.org/pub/id/draft-black-numscurves-01.html
var (
OIDNums = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0}
OIDNumsp256d1 = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0, 1}
OIDNumsp256t1 = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0, 2}
OIDNumsp384d1 = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0, 3}
OIDNumsp384t1 = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0, 4}
OIDNumsp512d1 = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0, 5}
OIDNumsp512t1 = asn1.ObjectIdentifier{1, 3, 6, 1, 5, 5, 7, 0, 6}
)
var (
once sync.Once
p256d1, p384d1, p512d1 *elliptic.CurveParams
p256t1, p384t1, p512t1 *rcurve
)
func bigFromHex(s string) (i *big.Int) {
i = new(big.Int)
i.SetString(s, 16)
return
}
func initAll() {
initP256d1()
initP384d1()
initP512d1()
initP256t1()
initP384t1()
initP512t1()
}
func initP256d1() {
p256d1 = &elliptic.CurveParams{
P: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF43"),
N: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE43C8275EA265C6020AB20294751A825"),
B: bigFromHex("25581"),
Gx: bigFromHex("01"),
Gy: bigFromHex("696F1853C1E466D7FC82C96CCEEEDD6BD02C2F9375894EC10BF46306C2B56C77"),
BitSize: 256,
Name: "numsp256d1",
}
}
func initP384d1() {
p384d1 = &elliptic.CurveParams{
P: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEC3"),
N: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFD61EAF1EEB5D6881BEDA9D3D4C37E27A604D81F67B0E61B9"),
B: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF77BB"),
Gx: bigFromHex("02"),
Gy: bigFromHex("3C9F82CB4B87B4DC71E763E0663E5DBD8034ED422F04F82673330DC58D15FFA2B4A3D0BAD5D30F865BCBBF503EA66F43"),
BitSize: 384,
Name: "numsp384d1",
}
}
func initP512d1() {
p512d1 = &elliptic.CurveParams{
P: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDC7"),
N: bigFromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5B3CA4FB94E7831B4FC258ED97D0BDC63B568B36607CD243CE153F390433555D"),
B: bigFromHex("1D99B"),
Gx: bigFromHex("02"),
Gy: bigFromHex("1C282EB23327F9711952C250EA61AD53FCC13031CF6DD336E0B9328433AFBDD8CC5A1C1F0C716FDC724DDE537C2B0ADB00BB3D08DC83755B205CC30D7F83CF28"),
BitSize: 512,
Name: "numsp512d1",
}
}
// P256d1() returns a Curve which implements p256d1 of Microsoft's Nothing Up My Sleeve (NUMS)
func P256d1() elliptic.Curve {
once.Do(initAll)
return p256d1
}
// P384d1() returns a Curve which implements p384d1 of Microsoft's Nothing Up My Sleeve (NUMS)
func P384d1() elliptic.Curve {
once.Do(initAll)
return p384d1
}
// P512d1() returns a Curve which implements p512d1 of Microsoft's Nothing Up My Sleeve (NUMS)
func P512d1() elliptic.Curve {
once.Do(initAll)
return p512d1
}
// ============
func initP256t1() {
twisted := p256d1
params := &elliptic.CurveParams{
Name: "numsp256t1",
P: twisted.P,
N: twisted.N,
BitSize: twisted.BitSize,
}
params.Gx = bigFromHex("0D")
params.Gy = bigFromHex("7D0AB41E2A1276DBA3D330B39FA046BFBE2A6D63824D303F707F6FB5331CADBA")
r := bigFromHex("3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFBE6AA55AD0A6BC64E5B84E6F1122B4AD")
p256t1 = newRcurve(twisted, params, r)
}
func initP384t1() {
twisted := p384d1
params := &elliptic.CurveParams{
Name: "numsp384t1",
P: twisted.P,
N: twisted.N,
BitSize: twisted.BitSize,
}
params.Gx = bigFromHex("08")
params.Gy = bigFromHex("749CDABA136CE9B65BD4471794AA619DAA5C7B4C930BFF8EBD798A8AE753C6D72F003860FEBABAD534A4ACF5FA7F5BEE")
r := bigFromHex("3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFECD7D11ED5A259A25A13A0458E39F4E451D6D71F70426E25")
p384t1 = newRcurve(twisted, params, r)
}
func initP512t1() {
twisted := p512d1
params := &elliptic.CurveParams{
Name: "numsp512t1",
P: twisted.P,
N: twisted.N,
BitSize: twisted.BitSize,
}
params.Gx = bigFromHex("20")
params.Gy = bigFromHex("7D67E841DC4C467B605091D80869212F9CEB124BF726973F9FF048779E1D614E62AE2ECE5057B5DAD96B7A897C1D72799261134638750F4F0CB91027543B1C5E")
r := bigFromHex("3FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA7E50809EFDABBB9A624784F449545F0DCEA5FF0CB800F894E78D1CB0B5F0189")
p512t1 = newRcurve(twisted, params, r)
}
// P256t1() returns a Curve which implements p256t1 of Microsoft's Nothing Up My Sleeve (NUMS)
func P256t1() elliptic.Curve {
once.Do(initAll)
return p256t1
}
// P384t1() returns a Curve which implements p384t1 of Microsoft's Nothing Up My Sleeve (NUMS)
func P384t1() elliptic.Curve {
once.Do(initAll)
return p384t1
}
// P512t1() returns a Curve which implements p512t1 of Microsoft's Nothing Up My Sleeve (NUMS)
func P512t1() elliptic.Curve {
once.Do(initAll)
return p512t1
}