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Diffstat (limited to 'src/crypto/elliptic/p521.go')
-rw-r--r-- | src/crypto/elliptic/p521.go | 165 |
1 files changed, 0 insertions, 165 deletions
diff --git a/src/crypto/elliptic/p521.go b/src/crypto/elliptic/p521.go deleted file mode 100644 index 6a3ade3c36..0000000000 --- a/src/crypto/elliptic/p521.go +++ /dev/null @@ -1,165 +0,0 @@ -// Copyright 2013 The Go Authors. All rights reserved. -// Use of this source code is governed by a BSD-style -// license that can be found in the LICENSE file. - -package elliptic - -import ( - "crypto/elliptic/internal/nistec" - "crypto/rand" - "math/big" -) - -// p521Curve is a Curve implementation based on nistec.P521Point. -// -// It's a wrapper that exposes the big.Int-based Curve interface and encodes the -// legacy idiosyncrasies it requires, such as invalid and infinity point -// handling. -// -// To interact with the nistec package, points are encoded into and decoded from -// properly formatted byte slices. All big.Int use is limited to this package. -// Encoding and decoding is 1/1000th of the runtime of a scalar multiplication, -// so the overhead is acceptable. -type p521Curve struct { - params *CurveParams -} - -var p521 p521Curve -var _ Curve = p521 - -func initP521() { - p521.params = &CurveParams{ - Name: "P-521", - BitSize: 521, - // FIPS 186-4, section D.1.2.5 - P: bigFromDecimal("68647976601306097149819007990813932172694353001433" + - "0540939446345918554318339765605212255964066145455497729631139148" + - "0858037121987999716643812574028291115057151"), - N: bigFromDecimal("68647976601306097149819007990813932172694353001433" + - "0540939446345918554318339765539424505774633321719753296399637136" + - "3321113864768612440380340372808892707005449"), - B: bigFromHex("0051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8" + - "b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef" + - "451fd46b503f00"), - Gx: bigFromHex("00c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f8" + - "28af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf9" + - "7e7e31c2e5bd66"), - Gy: bigFromHex("011839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817" + - "afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088" + - "be94769fd16650"), - } -} - -func (curve p521Curve) Params() *CurveParams { - return curve.params -} - -func (curve p521Curve) IsOnCurve(x, y *big.Int) bool { - // IsOnCurve is documented to reject (0, 0), the conventional point at - // infinity, which however is accepted by p521PointFromAffine. - if x.Sign() == 0 && y.Sign() == 0 { - return false - } - _, ok := p521PointFromAffine(x, y) - return ok -} - -func p521PointFromAffine(x, y *big.Int) (p *nistec.P521Point, ok bool) { - // (0, 0) is by convention the point at infinity, which can't be represented - // in affine coordinates. Marshal incorrectly encodes it as an uncompressed - // point, which SetBytes would correctly reject. See Issue 37294. - if x.Sign() == 0 && y.Sign() == 0 { - return nistec.NewP521Point(), true - } - if x.Sign() < 0 || y.Sign() < 0 { - return nil, false - } - if x.BitLen() > 521 || y.BitLen() > 521 { - return nil, false - } - p, err := nistec.NewP521Point().SetBytes(Marshal(P521(), x, y)) - if err != nil { - return nil, false - } - return p, true -} - -func p521PointToAffine(p *nistec.P521Point) (x, y *big.Int) { - out := p.Bytes() - if len(out) == 1 && out[0] == 0 { - // This is the correct encoding of the point at infinity, which - // Unmarshal does not support. See Issue 37294. - return new(big.Int), new(big.Int) - } - x, y = Unmarshal(P521(), out) - if x == nil { - panic("crypto/elliptic: internal error: Unmarshal rejected a valid point encoding") - } - return x, y -} - -// p521RandomPoint returns a random point on the curve. It's used when Add, -// Double, or ScalarMult are fed a point not on the curve, which is undefined -// behavior. Originally, we used to do the math on it anyway (which allows -// invalid curve attacks) and relied on the caller and Unmarshal to avoid this -// happening in the first place. Now, we just can't construct a nistec.P521Point -// for an invalid pair of coordinates, because that API is safer. If we panic, -// we risk introducing a DoS. If we return nil, we risk a panic. If we return -// the input, ecdsa.Verify might fail open. The safest course seems to be to -// return a valid, random point, which hopefully won't help the attacker. -func p521RandomPoint() (x, y *big.Int) { - _, x, y, err := GenerateKey(P521(), rand.Reader) - if err != nil { - panic("crypto/elliptic: failed to generate random point") - } - return x, y -} - -func (p521Curve) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { - p1, ok := p521PointFromAffine(x1, y1) - if !ok { - return p521RandomPoint() - } - p2, ok := p521PointFromAffine(x2, y2) - if !ok { - return p521RandomPoint() - } - return p521PointToAffine(p1.Add(p1, p2)) -} - -func (p521Curve) Double(x1, y1 *big.Int) (*big.Int, *big.Int) { - p, ok := p521PointFromAffine(x1, y1) - if !ok { - return p521RandomPoint() - } - return p521PointToAffine(p.Double(p)) -} - -func (p521Curve) ScalarMult(Bx, By *big.Int, scalar []byte) (*big.Int, *big.Int) { - p, ok := p521PointFromAffine(Bx, By) - if !ok { - return p521RandomPoint() - } - return p521PointToAffine(p.ScalarMult(p, scalar)) -} - -func (p521Curve) ScalarBaseMult(scalar []byte) (*big.Int, *big.Int) { - p := nistec.NewP521Generator() - return p521PointToAffine(p.ScalarMult(p, scalar)) -} - -func bigFromDecimal(s string) *big.Int { - b, ok := new(big.Int).SetString(s, 10) - if !ok { - panic("invalid encoding") - } - return b -} - -func bigFromHex(s string) *big.Int { - b, ok := new(big.Int).SetString(s, 16) - if !ok { - panic("invalid encoding") - } - return b -} |