Fast modular squaring with AVX512IFMA

Nir Drucker; Shay Gueron

Paper 2018/335 Original: eprint.iacr.org/2018/335 ↗

Fast modular squaring with AVX512IFMA

Nir Drucker

Shay Gueron

Abstract

Modular exponentiation represents a signicant workload for public key cryptosystems. Examples include not only the classical RSA, DSA, and DH algorithms, but also the partially homomorphic Paillier encryption. As a result, efficient software implementations of modular exponentiation are an important target for optimization. This paper studies methods for using Intel's forthcoming AVX512 Integer Fused Multiply Accumulate (AVX512IFMA) instructions in order to speed up modular (Montgomery) squaring, which dominates the cost of the exponentiation. We further show how a minor tweak in the architectural definition of AVX512IFMA has the potential to further speed up modular squaring.

Metadata

Available format(s): PDF
Category: Implementation
Publication info: Preprint.
History: 2018-04-11: last updated; 2018-04-11: published
Short URL: https://ia.cr/2018/335
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/335,
      author = {Nir Drucker and Shay Gueron},
      title = {Fast modular squaring with AVX512IFMA},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/335},
      year = {2018},
      url = {https://eprint.iacr.org/2018/335}
}