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authorIgnat Korchagin <ignat@cloudflare.com>2022-06-17 09:42:10 +0100
committerHerbert Xu <herbert@gondor.apana.org.au>2022-06-24 17:12:29 +0800
commitf145d411a67efacc0731fc3f9c7b2d89fb62523a (patch)
tree92a526967e9a1329b5c52976612c8aa31d509811 /crypto/rsa.c
parent1b05ece0c931536c0a38a9385e243a7962e933f6 (diff)
crypto: rsa - implement Chinese Remainder Theorem for faster private key operations
Changes from v1: * exported mpi_sub and mpi_mul, otherwise the build fails when RSA is a module The kernel RSA ASN.1 private key parser already supports only private keys with additional values to be used with the Chinese Remainder Theorem [1], but these values are currently not used. This rudimentary CRT implementation speeds up RSA private key operations for the following Go benchmark up to ~3x. This implementation also tries to minimise the allocation of additional MPIs, so existing MPIs are reused as much as possible (hence the variable names are a bit weird). The benchmark used: ``` package keyring_test import ( "crypto" "crypto/rand" "crypto/rsa" "crypto/x509" "io" "syscall" "testing" "unsafe" ) type KeySerial int32 type Keyring int32 const ( KEY_SPEC_PROCESS_KEYRING Keyring = -2 KEYCTL_PKEY_SIGN = 27 ) var ( keyTypeAsym = []byte("asymmetric\x00") sha256pkcs1 = []byte("enc=pkcs1 hash=sha256\x00") ) func (keyring Keyring) LoadAsym(desc string, payload []byte) (KeySerial, error) { cdesc := []byte(desc + "\x00") serial, _, errno := syscall.Syscall6(syscall.SYS_ADD_KEY, uintptr(unsafe.Pointer(&keyTypeAsym[0])), uintptr(unsafe.Pointer(&cdesc[0])), uintptr(unsafe.Pointer(&payload[0])), uintptr(len(payload)), uintptr(keyring), uintptr(0)) if errno == 0 { return KeySerial(serial), nil } return KeySerial(serial), errno } type pkeyParams struct { key_id KeySerial in_len uint32 out_or_in2_len uint32 __spare [7]uint32 } // the output signature buffer is an input parameter here, because we want to // avoid Go buffer allocation leaking into our benchmarks func (key KeySerial) Sign(info, digest, out []byte) error { var params pkeyParams params.key_id = key params.in_len = uint32(len(digest)) params.out_or_in2_len = uint32(len(out)) _, _, errno := syscall.Syscall6(syscall.SYS_KEYCTL, KEYCTL_PKEY_SIGN, uintptr(unsafe.Pointer(&params)), uintptr(unsafe.Pointer(&info[0])), uintptr(unsafe.Pointer(&digest[0])), uintptr(unsafe.Pointer(&out[0])), uintptr(0)) if errno == 0 { return nil } return errno } func BenchmarkSign(b *testing.B) { priv, err := rsa.GenerateKey(rand.Reader, 2048) if err != nil { b.Fatalf("failed to generate private key: %v", err) } pkcs8, err := x509.MarshalPKCS8PrivateKey(priv) if err != nil { b.Fatalf("failed to serialize the private key to PKCS8 blob: %v", err) } serial, err := KEY_SPEC_PROCESS_KEYRING.LoadAsym("test rsa key", pkcs8) if err != nil { b.Fatalf("failed to load the private key into the keyring: %v", err) } b.Logf("loaded test rsa key: %v", serial) digest := make([]byte, 32) _, err = io.ReadFull(rand.Reader, digest) if err != nil { b.Fatalf("failed to generate a random digest: %v", err) } sig := make([]byte, 256) for n := 0; n < b.N; n++ { err = serial.Sign(sha256pkcs1, digest, sig) if err != nil { b.Fatalf("failed to sign the digest: %v", err) } } err = rsa.VerifyPKCS1v15(&priv.PublicKey, crypto.SHA256, digest, sig) if err != nil { b.Fatalf("failed to verify the signature: %v", err) } } ``` [1]: https://en.wikipedia.org/wiki/RSA_(cryptosystem)#Using_the_Chinese_remainder_algorithm Signed-off-by: Ignat Korchagin <ignat@cloudflare.com> Reported-by: kernel test robot <lkp@intel.com> Signed-off-by: Herbert Xu <herbert@gondor.apana.org.au>
Diffstat (limited to 'crypto/rsa.c')
-rw-r--r--crypto/rsa.c78
1 files changed, 73 insertions, 5 deletions
diff --git a/crypto/rsa.c b/crypto/rsa.c
index 39e04176b04b..0e555ee4addb 100644
--- a/crypto/rsa.c
+++ b/crypto/rsa.c
@@ -17,6 +17,11 @@ struct rsa_mpi_key {
MPI n;
MPI e;
MPI d;
+ MPI p;
+ MPI q;
+ MPI dp;
+ MPI dq;
+ MPI qinv;
};
/*
@@ -35,16 +40,49 @@ static int _rsa_enc(const struct rsa_mpi_key *key, MPI c, MPI m)
/*
* RSADP function [RFC3447 sec 5.1.2]
- * m = c^d mod n;
+ * m_1 = c^dP mod p;
+ * m_2 = c^dQ mod q;
+ * h = (m_1 - m_2) * qInv mod p;
+ * m = m_2 + q * h;
*/
-static int _rsa_dec(const struct rsa_mpi_key *key, MPI m, MPI c)
+static int _rsa_dec_crt(const struct rsa_mpi_key *key, MPI m_or_m1_or_h, MPI c)
{
+ MPI m2, m12_or_qh;
+ int ret = -ENOMEM;
+
/* (1) Validate 0 <= c < n */
if (mpi_cmp_ui(c, 0) < 0 || mpi_cmp(c, key->n) >= 0)
return -EINVAL;
- /* (2) m = c^d mod n */
- return mpi_powm(m, c, key->d, key->n);
+ m2 = mpi_alloc(0);
+ m12_or_qh = mpi_alloc(0);
+ if (!m2 || !m12_or_qh)
+ goto err_free_mpi;
+
+ /* (2i) m_1 = c^dP mod p */
+ ret = mpi_powm(m_or_m1_or_h, c, key->dp, key->p);
+ if (ret)
+ goto err_free_mpi;
+
+ /* (2i) m_2 = c^dQ mod q */
+ ret = mpi_powm(m2, c, key->dq, key->q);
+ if (ret)
+ goto err_free_mpi;
+
+ /* (2iii) h = (m_1 - m_2) * qInv mod p */
+ mpi_sub(m12_or_qh, m_or_m1_or_h, m2);
+ mpi_mulm(m_or_m1_or_h, m12_or_qh, key->qinv, key->p);
+
+ /* (2iv) m = m_2 + q * h */
+ mpi_mul(m12_or_qh, key->q, m_or_m1_or_h);
+ mpi_addm(m_or_m1_or_h, m2, m12_or_qh, key->n);
+
+ ret = 0;
+
+err_free_mpi:
+ mpi_free(m12_or_qh);
+ mpi_free(m2);
+ return ret;
}
static inline struct rsa_mpi_key *rsa_get_key(struct crypto_akcipher *tfm)
@@ -112,7 +150,7 @@ static int rsa_dec(struct akcipher_request *req)
if (!c)
goto err_free_m;
- ret = _rsa_dec(pkey, m, c);
+ ret = _rsa_dec_crt(pkey, m, c);
if (ret)
goto err_free_c;
@@ -134,9 +172,19 @@ static void rsa_free_mpi_key(struct rsa_mpi_key *key)
mpi_free(key->d);
mpi_free(key->e);
mpi_free(key->n);
+ mpi_free(key->p);
+ mpi_free(key->q);
+ mpi_free(key->dp);
+ mpi_free(key->dq);
+ mpi_free(key->qinv);
key->d = NULL;
key->e = NULL;
key->n = NULL;
+ key->p = NULL;
+ key->q = NULL;
+ key->dp = NULL;
+ key->dq = NULL;
+ key->qinv = NULL;
}
static int rsa_check_key_length(unsigned int len)
@@ -217,6 +265,26 @@ static int rsa_set_priv_key(struct crypto_akcipher *tfm, const void *key,
if (!mpi_key->n)
goto err;
+ mpi_key->p = mpi_read_raw_data(raw_key.p, raw_key.p_sz);
+ if (!mpi_key->p)
+ goto err;
+
+ mpi_key->q = mpi_read_raw_data(raw_key.q, raw_key.q_sz);
+ if (!mpi_key->q)
+ goto err;
+
+ mpi_key->dp = mpi_read_raw_data(raw_key.dp, raw_key.dp_sz);
+ if (!mpi_key->dp)
+ goto err;
+
+ mpi_key->dq = mpi_read_raw_data(raw_key.dq, raw_key.dq_sz);
+ if (!mpi_key->dq)
+ goto err;
+
+ mpi_key->qinv = mpi_read_raw_data(raw_key.qinv, raw_key.qinv_sz);
+ if (!mpi_key->qinv)
+ goto err;
+
if (rsa_check_key_length(mpi_get_size(mpi_key->n) << 3)) {
rsa_free_mpi_key(mpi_key);
return -EINVAL;