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crypto/rsa: don't use safe primes.
Previously we would require safe primes for our RSA key generation. Since this took rather a long time, this removes the requirement that the primes be safe. OpenSSL doesn't use safe primes for RSA key generation either (openssl-0.9.8l/crypto/rsa/rsa_gen.c:122) Fixes #649. R=rsc CC=golang-dev https://golang.org/cl/253041
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@ -18,16 +18,15 @@ import (
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var bigZero = big.NewInt(0)
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var bigOne = big.NewInt(1)
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// randomSafePrime returns a number, p, of the given size, such that p and
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// (p-1)/2 are both prime with high probability.
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func randomSafePrime(rand io.Reader, bits int) (p *big.Int, err os.Error) {
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// randomPrime returns a number, p, of the given size, such that p is prime
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// with high probability.
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func randomPrime(rand io.Reader, bits int) (p *big.Int, err os.Error) {
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if bits < 1 {
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err = os.EINVAL
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}
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bytes := make([]byte, (bits+7)/8)
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p = new(big.Int)
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p2 := new(big.Int)
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for {
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_, err = io.ReadFull(rand, bytes)
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@ -42,10 +41,7 @@ func randomSafePrime(rand io.Reader, bits int) (p *big.Int, err os.Error) {
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p.SetBytes(bytes)
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if big.ProbablyPrime(p, 20) {
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p2.Rsh(p, 1) // p2 = (p - 1)/2
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if big.ProbablyPrime(p2, 20) {
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return
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}
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return
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}
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}
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@ -157,12 +153,12 @@ func GenerateKey(rand io.Reader, bits int) (priv *PrivateKey, err os.Error) {
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totient := new(big.Int)
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for {
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p, err := randomSafePrime(rand, bits/2)
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p, err := randomPrime(rand, bits/2)
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if err != nil {
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return nil, err
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}
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q, err := randomSafePrime(rand, bits/2)
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q, err := randomPrime(rand, bits/2)
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if err != nil {
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return nil, err
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}
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@ -18,7 +18,7 @@ func TestKeyGeneration(t *testing.T) {
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t.Errorf("failed to open /dev/urandom")
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}
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priv, err := GenerateKey(urandom, 32)
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priv, err := GenerateKey(urandom, 1024)
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if err != nil {
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t.Errorf("failed to generate key")
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}
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