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FIPS 186-4 has 5 different algorithms for key generation, and all of them rely on testing GCD(a,n) == 1 many times. Cachegrind was showing that during a RSA keygen operation, the function BN_gcd() was taking a considerable percentage of the total cycles. The default provider uses multiprime keygen, which seemed to be much faster. This is because it uses BN_mod_inverse() instead. For a 4096 bit key, the entropy of a key that was taking a long time to generate was recorded and fed back into subsequent runs. Roughly 40% of the cycle time was BN_gcd() with most of the remainder in the prime testing. Changing to use the inverse resulted in the cycle count being 96% in the prime testing. Reviewed-by: Paul Dale <pauli@openssl.org> Reviewed-by: Tomas Mraz <tomas@openssl.org> (Merged from https://github.com/openssl/openssl/pull/19578) |
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