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Add ECDSA signature primitive.

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Manuel Pégourié-Gonnard 2013-01-26 18:05:50 +01:00
parent b309ab2936
commit 3aeb5a7192
2 changed files with 99 additions and 3 deletions
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18
include/polarssl/ecdsa.h
View file

@ -52,6 +52,24 @@ int ecdsa_sign( const ecp_group *grp, mpi *r, mpi *s,
const mpi *d, const unsigned char *buf, size_t blen,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng );
/**
* \brief Verify ECDSA signature of a previously hashed message
*
* \param grp ECP group
* \param buf Message hash
* \param blen Length of buf
* \param Q Public key to use for verification
* \param r First integer of the signature
* \param s Second integer of the signature
*
* \return 0 if successful,
* POLARSSL_ERR_ECP_BAD_INPUT_DATA if signature is invalid
* or a POLARSSL_ERR_ECP_XXX or POLARSSL_MPI_XXX error code
*/
int ecdsa_verify( const ecp_group *grp,
const unsigned char *buf, size_t blen,
const ecp_point *Q, const mpi *r, const mpi *s);
/**
* \brief Checkup routine
*

84
library/ecdsa.c
View file

@ -35,6 +35,17 @@
#include "polarssl/ecdsa.h"
/*
* Derive a suitable integer for group grp from a buffer of length len
* SEC1 4.1.3 step 5 aka SEC1 4.1.4 step 3
*/
static int derive_mpi( const ecp_group *grp, mpi *x,
const unsigned char *buf, size_t blen )
{
size_t n_size = (grp->nbits + 7) / 8;
return( mpi_read_binary( x, buf, blen > n_size ? n_size : blen ) );
}
/*
* Compute ECDSA signature of a hashed message (SEC1 4.1.3)
* Obviously, compared to SEC1 4.1.3, we skip step 4 (hash message)
@ -44,7 +55,6 @@ int ecdsa_sign( const ecp_group *grp, mpi *r, mpi *s,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
int ret, key_tries, sign_tries;
size_t n_size;
ecp_point R;
mpi k, e;
@ -72,8 +82,7 @@ int ecdsa_sign( const ecp_group *grp, mpi *r, mpi *s,
/*
* Step 5: derive MPI from hashed message
*/
n_size = (grp->nbits + 7) / 8;
MPI_CHK( mpi_read_binary( &e, buf, blen > n_size ? n_size : blen ) );
MPI_CHK( derive_mpi( grp, &e, buf, blen ) );
/*
* Step 6: compute s = (e + r * d) / k mod n
@ -97,6 +106,75 @@ cleanup:
return( ret );
}
/*
* Verify ECDSA signature of hashed message (SEC1 4.1.4)
* Obviously, compared to SEC1 4.1.3, we skip step 2 (hash message)
*/
int ecdsa_verify( const ecp_group *grp,
const unsigned char *buf, size_t blen,
const ecp_point *Q, const mpi *r, const mpi *s)
{
int ret;
mpi e, s_inv, u1, u2;
ecp_point R, P;
ecp_point_init( &R ); ecp_point_init( &P );
mpi_init( &e ); mpi_init( &s_inv ); mpi_init( &u1 ); mpi_init( &u2 );
/*
* Step 1: make sure r and s are in range 1..n-1
*/
if( mpi_cmp_int( r, 1 ) < 0 || mpi_cmp_mpi( r, &grp->N ) >= 0 ||
mpi_cmp_int( s, 1 ) < 0 || mpi_cmp_mpi( s, &grp->N ) >= 0 )
{
return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
}
/*
* Additional precaution: make sure Q is valid
*/
MPI_CHK( ecp_check_pubkey( grp, Q ) );
/*
* Step 3: derive MPI from hashed message
*/
MPI_CHK( derive_mpi( grp, &e, buf, blen ) );
/*
* Step 4: u1 = e / s mod n, u2 = r / s mod n
*/
MPI_CHK( mpi_inv_mod( &s_inv, s, &grp->N ) );
MPI_CHK( mpi_mul_mpi( &u1, &e, &s_inv ) );
MPI_CHK( mpi_mod_mpi( &u1, &u1, &grp->N ) );
MPI_CHK( mpi_mul_mpi( &u2, r, &s_inv ) );
MPI_CHK( mpi_mod_mpi( &u2, &u2, &grp->N ) );
/*
* Step 5: R = u1 G + u2 Q
*/
MPI_CHK( ecp_mul( grp, &R, &u1, &grp->G ) );
MPI_CHK( ecp_mul( grp, &P, &u2, Q ) );
MPI_CHK( ecp_add( grp, &R, &R, &P ) );
if( ecp_is_zero( &R ) )
return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
/*
* Step 6: check that xR == r
*/
if( mpi_cmp_mpi( &R.X, r ) != 0 )
return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
cleanup:
ecp_point_free( &R ); ecp_point_free( &P );
mpi_free( &e ); mpi_free( &s_inv ); mpi_free( &u1 ); mpi_free( &u2 );
return( ret );
}
#if defined(POLARSSL_SELF_TEST)
/*