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Fix possible unlock before lock in RSA

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Backport of 1385a28 and 4d04cdc

see #257
This commit is contained in:
Manuel Pégourié-Gonnard 2015-08-31 10:03:16 +02:00
parent 89789be80f
commit 5efed09c5f
3 changed files with 30 additions and 55 deletions
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3
ChangeLog
View file

@ -5,6 +5,9 @@ mbed TLS ChangeLog (Sorted per branch, date)
Bugfix
* Setting SSL_MIN_DHM_BYTES in config.h had no effect (overriden in ssl.h)
(found by Fabio Solari) (#256)
* Fix bug in mbedtls_rsa_public() and mbedtls_rsa_private() that could
result trying to unlock an unlocked mutex on invalid input (found by
Fredrik Axelsson) (#257)
= mbed TLS 1.3.12 released 2015-08-11

76
library/rsa.c
View file

@ -274,25 +274,27 @@ int rsa_public( rsa_context *ctx,
mpi_init( &T );
#if defined(POLARSSL_THREADING_C)
if( ( ret = polarssl_mutex_lock( &ctx->mutex ) ) != 0 )
return( ret );
#endif
MPI_CHK( mpi_read_binary( &T, input, ctx->len ) );
if( mpi_cmp_mpi( &T, &ctx->N ) >= 0 )
{
mpi_free( &T );
return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
ret = POLARSSL_ERR_MPI_BAD_INPUT_DATA;
goto cleanup;
}
#if defined(POLARSSL_THREADING_C)
polarssl_mutex_lock( &ctx->mutex );
#endif
olen = ctx->len;
MPI_CHK( mpi_exp_mod( &T, &T, &ctx->E, &ctx->N, &ctx->RN ) );
MPI_CHK( mpi_write_binary( &T, output, olen ) );
cleanup:
#if defined(POLARSSL_THREADING_C)
polarssl_mutex_unlock( &ctx->mutex );
if( polarssl_mutex_unlock( &ctx->mutex ) != 0 )
return( POLARSSL_ERR_THREADING_MUTEX_ERROR );
#endif
mpi_free( &T );
@ -309,15 +311,11 @@ cleanup:
* DSS, and other systems. In : Advances in Cryptology—CRYPTO’96. Springer
* Berlin Heidelberg, 1996. p. 104-113.
*/
static int rsa_prepare_blinding( rsa_context *ctx, mpi *Vi, mpi *Vf,
static int rsa_prepare_blinding( rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
int ret, count = 0;
#if defined(POLARSSL_THREADING_C)
polarssl_mutex_lock( &ctx->mutex );
#endif
if( ctx->Vf.p != NULL )
{
/* We already have blinding values, just update them by squaring */
@ -326,7 +324,7 @@ static int rsa_prepare_blinding( rsa_context *ctx, mpi *Vi, mpi *Vf,
MPI_CHK( mpi_mul_mpi( &ctx->Vf, &ctx->Vf, &ctx->Vf ) );
MPI_CHK( mpi_mod_mpi( &ctx->Vf, &ctx->Vf, &ctx->N ) );
goto done;
goto cleanup;
}
/* Unblinding value: Vf = random number, invertible mod N */
@ -342,18 +340,7 @@ static int rsa_prepare_blinding( rsa_context *ctx, mpi *Vi, mpi *Vf,
MPI_CHK( mpi_inv_mod( &ctx->Vi, &ctx->Vf, &ctx->N ) );
MPI_CHK( mpi_exp_mod( &ctx->Vi, &ctx->Vi, &ctx->E, &ctx->N, &ctx->RN ) );
done:
if( Vi != &ctx->Vi )
{
MPI_CHK( mpi_copy( Vi, &ctx->Vi ) );
MPI_CHK( mpi_copy( Vf, &ctx->Vf ) );
}
cleanup:
#if defined(POLARSSL_THREADING_C)
polarssl_mutex_unlock( &ctx->mutex );
#endif
return( ret );
}
@ -369,31 +356,19 @@ int rsa_private( rsa_context *ctx,
int ret;
size_t olen;
mpi T, T1, T2;
mpi *Vi, *Vf;
/*
* When using the Chinese Remainder Theorem, we use blinding values.
* Without threading, we just read them directly from the context,
* otherwise we make a local copy in order to reduce locking contention.
*/
#if defined(POLARSSL_THREADING_C)
mpi Vi_copy, Vf_copy;
mpi_init( &Vi_copy ); mpi_init( &Vf_copy );
Vi = &Vi_copy;
Vf = &Vf_copy;
#else
Vi = &ctx->Vi;
Vf = &ctx->Vf;
#endif
mpi_init( &T ); mpi_init( &T1 ); mpi_init( &T2 );
#if defined(POLARSSL_THREADING_C)
if( ( ret = polarssl_mutex_lock( &ctx->mutex ) ) != 0 )
return( ret );
#endif
MPI_CHK( mpi_read_binary( &T, input, ctx->len ) );
if( mpi_cmp_mpi( &T, &ctx->N ) >= 0 )
{
mpi_free( &T );
return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
ret = POLARSSL_ERR_MPI_BAD_INPUT_DATA;
goto cleanup;
}
if( f_rng != NULL )
@ -402,15 +377,11 @@ int rsa_private( rsa_context *ctx,
* Blinding
* T = T * Vi mod N
*/
MPI_CHK( rsa_prepare_blinding( ctx, Vi, Vf, f_rng, p_rng ) );
MPI_CHK( mpi_mul_mpi( &T, &T, Vi ) );
MPI_CHK( rsa_prepare_blinding( ctx, f_rng, p_rng ) );
MPI_CHK( mpi_mul_mpi( &T, &T, &ctx->Vi ) );
MPI_CHK( mpi_mod_mpi( &T, &T, &ctx->N ) );
}
#if defined(POLARSSL_THREADING_C)
polarssl_mutex_lock( &ctx->mutex );
#endif
#if defined(POLARSSL_RSA_NO_CRT)
MPI_CHK( mpi_exp_mod( &T, &T, &ctx->D, &ctx->N, &ctx->RN ) );
#else
@ -443,7 +414,7 @@ int rsa_private( rsa_context *ctx,
* Unblind
* T = T * Vf mod N
*/
MPI_CHK( mpi_mul_mpi( &T, &T, Vf ) );
MPI_CHK( mpi_mul_mpi( &T, &T, &ctx->Vf ) );
MPI_CHK( mpi_mod_mpi( &T, &T, &ctx->N ) );
}
@ -452,9 +423,10 @@ int rsa_private( rsa_context *ctx,
cleanup:
#if defined(POLARSSL_THREADING_C)
polarssl_mutex_unlock( &ctx->mutex );
mpi_free( &Vi_copy ); mpi_free( &Vf_copy );
if( polarssl_mutex_unlock( &ctx->mutex ) != 0 )
return( POLARSSL_ERR_THREADING_MUTEX_ERROR );
#endif
mpi_free( &T ); mpi_free( &T1 ); mpi_free( &T2 );
if( ret != 0 )

6
tests/suites/test_suite_rsa.data
View file

@ -234,7 +234,7 @@ rsa_pkcs1_encrypt:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b0
RSA PKCS1 Decrypt #2 (Data too small)
depends_on:POLARSSL_PKCS1_V15
rsa_pkcs1_decrypt:"deadbeafcafedeadbeeffedcba9876":RSA_PKCS_V15:2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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":16:"3":1000:"4E636AF98E40F3ADCFCCB698F4E80B9F":POLARSSL_ERR_RSA_BAD_INPUT_DATA
rsa_pkcs1_decrypt:"deadbeafcafedeadbeeffedcba9876":RSA_PKCS_V15:2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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":16:"3":1000:"4E636AF98E40F3ADCFCCB698F4E80B9F":POLARSSL_ERR_RSA_PRIVATE_FAILED + POLARSSL_ERR_MPI_BAD_INPUT_DATA
RSA PKCS1 Encrypt #3 (Invalid padding mode)
rsa_pkcs1_encrypt:"4E636AF98E40F3ADCFCCB698F4E80B9F":2:2048:16:"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":16:"3":"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":POLARSSL_ERR_RSA_INVALID_PADDING
@ -337,13 +337,13 @@ RSA Private (Correct)
rsa_private:"59779fd2a39e56640c4fc1e67b60aeffcecd78aed7ad2bdfa464e93d04198d48466b8da7445f25bfa19db2844edd5c8f539cf772cc132b483169d390db28a43bc4ee0f038f6568ffc87447746cb72fefac2d6d90ee3143a915ac4688028805905a68eb8f8a96674b093c495eddd8704461eaa2b345efbb2ad6930acd8023f870":2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":16:"3":"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":0
RSA Private (Data larger than N)
rsa_private:"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":2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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":16:"3":"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":POLARSSL_ERR_RSA_BAD_INPUT_DATA
rsa_private:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":2048:16:"e79a373182bfaa722eb035f772ad2a9464bd842de59432c18bbab3a7dfeae318c9b915ee487861ab665a40bd6cda560152578e8579016c929df99fea05b4d64efca1d543850bc8164b40d71ed7f3fa4105df0fb9b9ad2a18ce182c8a4f4f975bea9aa0b9a1438a27a28e97ac8330ef37383414d1bd64607d6979ac050424fd17":16:"c6749cbb0db8c5a177672d4728a8b22392b2fc4d3b8361d5c0d5055a1b4e46d821f757c24eef2a51c561941b93b3ace7340074c058c9bb48e7e7414f42c41da4cccb5c2ba91deb30c586b7fb18af12a52995592ad139d3be429add6547e044becedaf31fa3b39421e24ee034fbf367d11f6b8f88ee483d163b431e1654ad3e89":16:"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":16:"3":"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":POLARSSL_ERR_RSA_PRIVATE_FAILED + POLARSSL_ERR_MPI_BAD_INPUT_DATA
RSA Public (Correct)
rsa_public:"59779fd2a39e56640c4fc1e67b60aeffcecd78aed7ad2bdfa464e93d04198d48466b8da7445f25bfa19db2844edd5c8f539cf772cc132b483169d390db28a43bc4ee0f038f6568ffc87447746cb72fefac2d6d90ee3143a915ac4688028805905a68eb8f8a96674b093c495eddd8704461eaa2b345efbb2ad6930acd8023f870":2048:16:"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":16:"3":"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":0
RSA Public (Data larger than N)
rsa_public:"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":2048:16:"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":16:"3":"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":POLARSSL_ERR_RSA_BAD_INPUT_DATA
rsa_public:"b38ac65c8141f7f5c96e14470e851936a67bf94cc6821a39ac12c05f7c0b06d9e6ddba2224703b02e25f31452f9c4a8417b62675fdc6df46b94813bc7b9769a892c482b830bfe0ad42e46668ace68903617faf6681f4babf1cc8e4b0420d3c7f61dc45434c6b54e2c3ee0fc07908509d79c9826e673bf8363255adb0add2401039a7bcd1b4ecf0fbe6ec8369d2da486eec59559dd1d54c9b24190965eafbdab203b35255765261cd0909acf93c3b8b8428cbb448de4715d1b813d0c94829c229543d391ce0adab5351f97a3810c1f73d7b1458b97daed4209c50e16d064d2d5bfda8c23893d755222793146d0a78c3d64f35549141486c3b0961a7b4c1a2034f":2048:16:"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":16:"3":"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":POLARSSL_ERR_RSA_PUBLIC_FAILED + POLARSSL_ERR_MPI_BAD_INPUT_DATA
RSA Generate Key
rsa_gen_key:128:3:0