Blind operations on the secret
I'm not sure this is necessary, because it is only multiplied by xm2 which is already random and secret, but OTOH, xm2 is related to a public value, so let's add blinding with a random value that's only use for blinding, just to be extra sure.
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@ -111,7 +111,6 @@ int mbedtls_ecjpake_setup( mbedtls_ecjpake_context *ctx,
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MBEDTLS_MPI_CHK( mbedtls_ecp_group_load( &ctx->grp, curve ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->s, secret, len ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->s, &ctx->s, &ctx->grp.N ) );
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cleanup:
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if( ret != 0 )
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@ -568,6 +567,37 @@ cleanup:
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return( ret );
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}
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/*
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* Compute R = +/- X * S mod N, taking care not to leak S
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*/
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static int ecjpake_mul_secret( mbedtls_mpi *R, int sign,
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const mbedtls_mpi *X,
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const mbedtls_mpi *S,
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const mbedtls_mpi *N,
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int (*f_rng)(void *, unsigned char *, size_t),
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void *p_rng )
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{
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int ret;
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mbedtls_mpi b; /* Blinding value, then s + N * blinding */
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mbedtls_mpi_init( &b );
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/* b = s + rnd-128-bit * N */
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MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &b, 16, f_rng, p_rng ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &b, &b, N ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &b, &b, S ) );
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/* R = sign * X * b mod N */
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MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( R, X, &b ) );
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R->s *= sign;
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MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( R, R, N ) );
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cleanup:
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mbedtls_mpi_free( &b );
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return( ret );
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}
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/*
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* Generate and write the second round message (S: 7.4.2.5, C: 7.4.2.6)
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*/
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@ -597,8 +627,8 @@ int mbedtls_ecjpake_write_round_two( mbedtls_ecjpake_context *ctx,
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*/
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MBEDTLS_MPI_CHK( ecjpake_ecp_add3( &ctx->grp, &G,
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&ctx->Xp1, &ctx->Xp2, &ctx->Xm1 ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &xm, &ctx->xm2, &ctx->s ) );
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MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &xm, &xm, &ctx->grp.N ) );
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MBEDTLS_MPI_CHK( ecjpake_mul_secret( &xm, 1, &ctx->xm2, &ctx->s,
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&ctx->grp.N, f_rng, p_rng ) );
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MBEDTLS_MPI_CHK( mbedtls_ecp_mul( &ctx->grp, &Xm, &xm, &G, f_rng, p_rng ) );
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/*
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@ -671,12 +701,10 @@ int mbedtls_ecjpake_derive_secret( mbedtls_ecjpake_context *ctx,
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/*
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* Client: K = ( Xs - X4 * x2 * s ) * x2
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* Server: K = ( Xc - X2 * x4 * s ) * x4
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* Unified: K = ( Xp - Xp2 * xm2 * x ) * xm2
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* Unified: K = ( Xp - Xp2 * xm2 * s ) * xm2
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*/
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MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &m_xm2_s, &ctx->xm2, &ctx->s ) );
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m_xm2_s.s *= -1;
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MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &m_xm2_s, &m_xm2_s, &ctx->grp.N ) );
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MBEDTLS_MPI_CHK( ecjpake_mul_secret( &m_xm2_s, -1, &ctx->xm2, &ctx->s,
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&ctx->grp.N, f_rng, p_rng ) );
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MBEDTLS_MPI_CHK( mbedtls_ecp_muladd( &ctx->grp, &K,
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&one, &ctx->Xp,
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&m_xm2_s, &ctx->Xp2 ) );
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