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authorMichael Brown <mcb30@ipxe.org>2024-11-25 15:59:22 +0000
committerMichael Brown <mcb30@ipxe.org>2024-11-28 15:06:01 +0000
commit83ac98ce22b5b735cba4d1a21db8cc8e8648dfa4 (patch)
treee226bd3863e9b0a1d666a7f5656431f6b069b881 /COPYING.UBDL
parent4f7dd7fbba205d413cf9b989f7cdc928fa02caf2 (diff)
downloadipxe-83ac98ce22b5b735cba4d1a21db8cc8e8648dfa4.tar.gz
[crypto] Use Montgomery reduction for modular exponentiation
Speed up modular exponentiation by using Montgomery reduction rather than direct modular reduction. Montgomery reduction in base 2^n requires the modulus to be coprime to 2^n, which would limit us to requiring that the modulus is an odd number. Extend the implementation to include support for exponentiation with even moduli via Garner's algorithm as described in "Montgomery reduction with even modulus" (KoƧ, 1994). Since almost all use cases for modular exponentation require a large prime (and hence odd) modulus, the support for even moduli could potentially be removed in future. Signed-off-by: Michael Brown <mcb30@ipxe.org>
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