Merge remote-tracking branch 'restricted/pr/667' into mbedtls-2.16-restricted

* restricted/pr/667: (24 commits)
  Add ChangeLog entry
  mpi_lt_mpi_ct: fix condition handling
  mpi_lt_mpi_ct: Add further tests
  mpi_lt_mpi_ct: Fix test numbering
  mpi_lt_mpi_ct perform tests for both limb size
  ct_lt_mpi_uint: cast the return value explicitely
  mbedtls_mpi_lt_mpi_ct: add tests for 32 bit limbs
  mbedtls_mpi_lt_mpi_ct: simplify condition
  Rename variable for better readability
  mbedtls_mpi_lt_mpi_ct: Improve documentation
  Make mbedtls_mpi_lt_mpi_ct more portable
  Bignum: Document assumptions about the sign field
  Add more tests for mbedtls_mpi_lt_mpi_ct
  mpi_lt_mpi_ct test: hardcode base 16
  Document ct_lt_mpi_uint
  mpi_lt_mpi_ct: make use of unsigned consistent
  ct_lt_mpi_uint: make use of biL
  Change mbedtls_mpi_cmp_mpi_ct to check less than
  mbedtls_mpi_cmp_mpi_ct: remove multiplications
  Remove excess vertical space
  ...
This commit is contained in:
Jaeden Amero 2019-11-12 10:48:21 +00:00
commit f0486052b7
6 changed files with 244 additions and 3 deletions

View file

@ -16,6 +16,10 @@ Security
Issue reported by Tuba Yavuz, Farhaan Fowze, Ken (Yihang) Bai,
Grant Hernandez, and Kevin Butler (University of Florida) and
Dave Tian (Purdue University).
* Fix side channel vulnerability in ECDSA key generation. Obtaining precise
timings on the comparison in the key generation enabled the attacker to
learn leading bits of the ephemeral key used during ECDSA signatures and to
recover the private key. Reported by Jeremy Dubeuf.
Bugfix
* Remove redundant line for getting the bitlen of a bignum, since the variable

View file

@ -184,7 +184,7 @@ extern "C" {
*/
typedef struct mbedtls_mpi
{
int s; /*!< integer sign */
int s; /*!< Sign: -1 if the mpi is negative, 1 otherwise */
size_t n; /*!< total # of limbs */
mbedtls_mpi_uint *p; /*!< pointer to limbs */
}
@ -559,6 +559,24 @@ int mbedtls_mpi_cmp_abs( const mbedtls_mpi *X, const mbedtls_mpi *Y );
*/
int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y );
/**
* \brief Check if an MPI is less than the other in constant time.
*
* \param X The left-hand MPI. This must point to an initialized MPI
* with the same allocated length as Y.
* \param Y The right-hand MPI. This must point to an initialized MPI
* with the same allocated length as X.
* \param ret The result of the comparison:
* \c 1 if \p X is less than \p Y.
* \c 0 if \p X is greater than or equal to \p Y.
*
* \return 0 on success.
* \return MBEDTLS_ERR_MPI_BAD_INPUT_DATA if the allocated length of
* the two input MPIs is not the same.
*/
int mbedtls_mpi_lt_mpi_ct( const mbedtls_mpi *X, const mbedtls_mpi *Y,
unsigned *ret );
/**
* \brief Compare an MPI with an integer.
*

View file

@ -1071,6 +1071,107 @@ int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y )
return( 0 );
}
/** Decide if an integer is less than the other, without branches.
*
* \param x First integer.
* \param y Second integer.
*
* \return 1 if \p x is less than \p y, 0 otherwise
*/
static unsigned ct_lt_mpi_uint( const mbedtls_mpi_uint x,
const mbedtls_mpi_uint y )
{
mbedtls_mpi_uint ret;
mbedtls_mpi_uint cond;
/*
* Check if the most significant bits (MSB) of the operands are different.
*/
cond = ( x ^ y );
/*
* If the MSB are the same then the difference x-y will be negative (and
* have its MSB set to 1 during conversion to unsigned) if and only if x<y.
*/
ret = ( x - y ) & ~cond;
/*
* If the MSB are different, then the operand with the MSB of 1 is the
* bigger. (That is if y has MSB of 1, then x<y is true and it is false if
* the MSB of y is 0.)
*/
ret |= y & cond;
ret = ret >> ( biL - 1 );
return (unsigned) ret;
}
/*
* Compare signed values in constant time
*/
int mbedtls_mpi_lt_mpi_ct( const mbedtls_mpi *X, const mbedtls_mpi *Y,
unsigned *ret )
{
size_t i;
/* The value of any of these variables is either 0 or 1 at all times. */
unsigned cond, done, X_is_negative, Y_is_negative;
MPI_VALIDATE_RET( X != NULL );
MPI_VALIDATE_RET( Y != NULL );
MPI_VALIDATE_RET( ret != NULL );
if( X->n != Y->n )
return MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
/*
* Set sign_N to 1 if N >= 0, 0 if N < 0.
* We know that N->s == 1 if N >= 0 and N->s == -1 if N < 0.
*/
X_is_negative = ( X->s & 2 ) >> 1;
Y_is_negative = ( Y->s & 2 ) >> 1;
/*
* If the signs are different, then the positive operand is the bigger.
* That is if X is negative (X_is_negative == 1), then X < Y is true and it
* is false if X is positive (X_is_negative == 0).
*/
cond = ( X_is_negative ^ Y_is_negative );
*ret = cond & X_is_negative;
/*
* This is a constant-time function. We might have the result, but we still
* need to go through the loop. Record if we have the result already.
*/
done = cond;
for( i = X->n; i > 0; i-- )
{
/*
* If Y->p[i - 1] < X->p[i - 1] then X < Y is true if and only if both
* X and Y are negative.
*
* Again even if we can make a decision, we just mark the result and
* the fact that we are done and continue looping.
*/
cond = ct_lt_mpi_uint( Y->p[i - 1], X->p[i - 1] );
*ret |= cond & ( 1 - done ) & X_is_negative;
done |= cond;
/*
* If X->p[i - 1] < Y->p[i - 1] then X < Y is true if and only if both
* X and Y are positive.
*
* Again even if we can make a decision, we just mark the result and
* the fact that we are done and continue looping.
*/
cond = ct_lt_mpi_uint( X->p[i - 1], Y->p[i - 1] );
*ret |= cond & ( 1 - done ) & ( 1 - X_is_negative );
done |= cond;
}
return( 0 );
}
/*
* Compare signed values
*/

View file

@ -2724,6 +2724,7 @@ int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
{
/* SEC1 3.2.1: Generate d such that 1 <= n < N */
int count = 0;
unsigned cmp = 0;
/*
* Match the procedure given in RFC 6979 (deterministic ECDSA):
@ -2748,9 +2749,14 @@ int mbedtls_ecp_gen_privkey( const mbedtls_ecp_group *grp,
*/
if( ++count > 30 )
return( MBEDTLS_ERR_ECP_RANDOM_FAILED );
ret = mbedtls_mpi_lt_mpi_ct( d, &grp->N, &cmp );
if( ret != 0 )
{
goto cleanup;
}
}
while( mbedtls_mpi_cmp_int( d, 1 ) < 0 ||
mbedtls_mpi_cmp_mpi( d, &grp->N ) >= 0 );
while( mbedtls_mpi_cmp_int( d, 1 ) < 0 || cmp != 1 );
}
#endif /* ECP_SHORTWEIERSTRASS */

View file

@ -163,6 +163,93 @@ mbedtls_mpi_cmp_mpi:10:"2":10:"-3":1
Base test mbedtls_mpi_cmp_mpi (Mixed values) #6
mbedtls_mpi_cmp_mpi:10:"-2":10:"31231231289798":-1
Base test mbedtls_mpi_lt_mpi_ct #1
mbedtls_mpi_lt_mpi_ct:1:"2B5":1:"2B5":0:0
Base test mbedtls_mpi_lt_mpi_ct #2
mbedtls_mpi_lt_mpi_ct:1:"2B5":1:"2B4":0:0
Base test mbedtls_mpi_lt_mpi_ct #3
mbedtls_mpi_lt_mpi_ct:1:"2B5":1:"2B6":1:0
Base test mbedtls_mpi_lt_mpi_ct (Negative values) #1
mbedtls_mpi_lt_mpi_ct:1:"-2":1:"-2":0:0
Base test mbedtls_mpi_lt_mpi_ct (Negative values) #2
mbedtls_mpi_lt_mpi_ct:1:"-2":1:"-3":0:0
Base test mbedtls_mpi_lt_mpi_ct (Negative values) #3
mbedtls_mpi_lt_mpi_ct:1:"-2":1:"-1":1:0
Base test mbedtls_mpi_lt_mpi_ct (Mixed values) #1
mbedtls_mpi_lt_mpi_ct:1:"-3":1:"2":1:0
Base test mbedtls_mpi_lt_mpi_ct (Mixed values) #2
mbedtls_mpi_lt_mpi_ct:1:"2":1:"-3":0:0
Base test mbedtls_mpi_lt_mpi_ct (Mixed values) #3
mbedtls_mpi_lt_mpi_ct:2:"-2":2:"1C67967269C6":1:0
Base test mbedtls_mpi_lt_mpi_ct (X is longer in storage)
mbedtls_mpi_lt_mpi_ct:3:"2B5":2:"2B5":0:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Base test mbedtls_mpi_lt_mpi_ct (Y is longer in storage)
mbedtls_mpi_lt_mpi_ct:3:"2B5":4:"2B5":0:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
Base test mbedtls_mpi_lt_mpi_ct (corner case - 64 bit) #1
mbedtls_mpi_lt_mpi_ct:2:"7FFFFFFFFFFFFFFF":2:"FF":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 64 bit) #2
mbedtls_mpi_lt_mpi_ct:2:"8000000000000000":2:"7FFFFFFFFFFFFFFF":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 64 bit) #3
mbedtls_mpi_lt_mpi_ct:2:"8000000000000000":2:"1":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 64 bit) #4
mbedtls_mpi_lt_mpi_ct:2:"8000000000000000":2:"0":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 64 bit) #5
mbedtls_mpi_lt_mpi_ct:2:"FFFFFFFFFFFFFFFF":2:"FF":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 32 bit) #1
mbedtls_mpi_lt_mpi_ct:1:"7FFFFFFF":1:"FF":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 32 bit) #2
mbedtls_mpi_lt_mpi_ct:1:"80000000":1:"7FFFFFFF":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 32 bit) #3
mbedtls_mpi_lt_mpi_ct:1:"80000000":1:"1":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 32 bit) #4
mbedtls_mpi_lt_mpi_ct:1:"80000000":1:"0":0:0
Base test mbedtls_mpi_lt_mpi_ct (corner case - 32 bit) #5
mbedtls_mpi_lt_mpi_ct:1:"FFFFFFFF":1:"FF":0:0
Multi-limb mbedtls_mpi_lt_mpi_ct (X<Y, zero vs non-zero MS limb)
mbedtls_mpi_lt_mpi_ct:2:"0FFFFFFFFFFFFFFFF":2:"1FFFFFFFFFFFFFFFF":1:0
Multi-limb mbedtls_mpi_lt_mpi_ct (X>Y, equal MS limbs)
mbedtls_mpi_lt_mpi_ct:2:"-EEFFFFFFFFFFFFFFF1":2:"-EEFFFFFFFFFFFFFFFF":0:0
Multi-limb mbedtls_mpi_lt_mpi_ct (X=Y)
mbedtls_mpi_lt_mpi_ct:2:"EEFFFFFFFFFFFFFFFF":2:"EEFFFFFFFFFFFFFFFF":0:0
Multi-limb mbedtls_mpi_lt_mpi_ct (X=-Y)
mbedtls_mpi_lt_mpi_ct:2:"-EEFFFFFFFFFFFFFFFF":2:"EEFFFFFFFFFFFFFFFF":1:0
Multi-limb mbedtls_mpi_lt_mpi_ct (Alternating limbs) #1
mbedtls_mpi_lt_mpi_ct:2:"11FFFFFFFFFFFFFFFF":2:"FF1111111111111111":1:0
Multi-limb mbedtls_mpi_lt_mpi_ct (Alternating limbs) #2
mbedtls_mpi_lt_mpi_ct:2:"FF1111111111111111":2:"11FFFFFFFFFFFFFFFF":0:0
Multi-limb mbedtls_mpi_lt_mpi_ct (Alternating limbs) #3
mbedtls_mpi_lt_mpi_ct:2:"-11FFFFFFFFFFFFFFFF":2:"-FF1111111111111111":0:0
Multi-limb mbedtls_mpi_lt_mpi_ct (Alternating limbs) #4
mbedtls_mpi_lt_mpi_ct:2:"-FF1111111111111111":2:"-11FFFFFFFFFFFFFFFF":1:0
Base test mbedtls_mpi_cmp_abs #1
mbedtls_mpi_cmp_abs:10:"693":10:"693":0

View file

@ -537,6 +537,31 @@ exit:
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_lt_mpi_ct( int size_X, char * input_X,
int size_Y, char * input_Y,
int input_ret, int input_err )
{
unsigned ret;
unsigned input_uret = input_ret;
mbedtls_mpi X, Y;
mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y );
TEST_ASSERT( mbedtls_mpi_read_string( &X, 16, input_X ) == 0 );
TEST_ASSERT( mbedtls_mpi_read_string( &Y, 16, input_Y ) == 0 );
mbedtls_mpi_grow( &X, size_X );
mbedtls_mpi_grow( &Y, size_Y );
TEST_ASSERT( mbedtls_mpi_lt_mpi_ct( &X, &Y, &ret ) == input_err );
if( input_err == 0 )
TEST_ASSERT( ret == input_uret );
exit:
mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y );
}
/* END_CASE */
/* BEGIN_CASE */
void mbedtls_mpi_cmp_abs( int radix_X, char * input_X, int radix_Y,
char * input_Y, int input_A )