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Stefan Berger authored
res.x has been calculated by ecc_point_mult_shamir, which uses 'mod curve_prime' on res.x and therefore p > res.x with 'p' being the curve_prime. Further, it is true that for the NIST curves p > n with 'n' being the 'curve_order' and therefore the following may be true as well: p > res.x >= n. If res.x >= n then res.x mod n can be calculated by iteratively sub- tracting n from res.x until res.x < n. For NIST P192/256/384 this can be done in a single subtraction. This can also be done in a single subtraction for NIST P521. The mathematical reason why a single subtraction is sufficient is due to the values of 'p' and 'n' of the NIST curves where the following holds true: note: max(res.x) = p - 1 max(res.x) - n < n p - 1 - n < n p - 1 < 2n => holds true for the NIST curves Tested-by:
Lukas Wunner <lukas@wunner.de> Reviewed-by:
Jarkko Sakkinen <jarkko@kernel.org> Signed-off-by:
Stefan Berger <stefanb@linux.ibm.com> Signed-off-by:
Herbert Xu <herbert@gondor.apana.org.au>
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