Re: [PATCH v7 06/13] crypto: ecc - Implement vli_mmod_fast_521 for NIST p521

From: Jarkko Sakkinen
Date: Thu Mar 21 2024 - 13:18:56 EST


On Wed Mar 20, 2024 at 1:47 PM EET, Stefan Berger wrote:
> Implement vli_mmod_fast_521 following the description for how to calculate
> the modulus for NIST P521 in the NIST publication "Recommendations for
> Discrete Logarithm-Based Cryptography: Elliptic Curve Domain Parameters"
> section G.1.4.
>
> NIST p521 requires 9 64bit digits, so increase the ECC_MAX_DIGITS so that
> the vli digit array provides enough elements to fit the larger integers
> required by this curve.
>
> Signed-off-by: Stefan Berger <stefanb@xxxxxxxxxxxxx>
> Tested-by: Lukas Wunner <lukas@xxxxxxxxx>
> ---
> crypto/ecc.c | 25 +++++++++++++++++++++++++
> include/crypto/internal/ecc.h | 3 ++-
> 2 files changed, 27 insertions(+), 1 deletion(-)
>
> diff --git a/crypto/ecc.c b/crypto/ecc.c
> index 415a2f4e7291..99d41887c005 100644
> --- a/crypto/ecc.c
> +++ b/crypto/ecc.c
> @@ -902,6 +902,28 @@ static void vli_mmod_fast_384(u64 *result, const u64 *product,
> #undef AND64H
> #undef AND64L
>
> +/*
> + * Computes result = product % curve_prime
> + * from "Recommendations for Discrete Logarithm-Based Cryptography:
> + * Elliptic Curve Domain Parameters" section G.1.4
> + */
> +static void vli_mmod_fast_521(u64 *result, const u64 *product,
> + const u64 *curve_prime, u64 *tmp)
> +{
> + const unsigned int ndigits = ECC_CURVE_NIST_P521_DIGITS;
> + size_t i;
> +
> + /* Initialize result with lowest 521 bits from product */
> + vli_set(result, product, ndigits);
> + result[8] &= 0x1ff;
> +
> + for (i = 0; i < ndigits; i++)
> + tmp[i] = (product[8 + i] >> 9) | (product[9 + i] << 55);
> + tmp[8] &= 0x1ff;
> +
> + vli_mod_add(result, result, tmp, curve_prime, ndigits);
> +}
> +
> /* Computes result = product % curve_prime for different curve_primes.
> *
> * Note that curve_primes are distinguished just by heuristic check and
> @@ -941,6 +963,9 @@ static bool vli_mmod_fast(u64 *result, u64 *product,
> case ECC_CURVE_NIST_P384_DIGITS:
> vli_mmod_fast_384(result, product, curve_prime, tmp);
> break;
> + case ECC_CURVE_NIST_P521_DIGITS:
> + vli_mmod_fast_521(result, product, curve_prime, tmp);
> + break;
> default:
> pr_err_ratelimited("ecc: unsupported digits size!\n");
> return false;
> diff --git a/include/crypto/internal/ecc.h b/include/crypto/internal/ecc.h
> index ab722a8986b7..4e2f5f938e91 100644
> --- a/include/crypto/internal/ecc.h
> +++ b/include/crypto/internal/ecc.h
> @@ -33,7 +33,8 @@
> #define ECC_CURVE_NIST_P192_DIGITS 3
> #define ECC_CURVE_NIST_P256_DIGITS 4
> #define ECC_CURVE_NIST_P384_DIGITS 6
> -#define ECC_MAX_DIGITS (512 / 64) /* due to ecrdsa */
> +#define ECC_CURVE_NIST_P521_DIGITS 9
> +#define ECC_MAX_DIGITS DIV_ROUND_UP(521, 64) /* NIST P521 */
>
> #define ECC_DIGITS_TO_BYTES_SHIFT 3
>

Reviewed-by: Jarkko Sakkinen <jarkko@xxxxxxxxxx>

BR, Jarkko