Finite Field Arithmetic Using AVX-512 For Isogeny-Based Cryptography

Isogeny-based cryptography introduces new candidates to quantum-resistant cryptographic protocols. The cost of finite field arithmetic dominatesthe cost of isogeny-based cryptosystems. In this work, we apply AVX-512 vectorinstructions to accelerate the finite field modular multiplication. We benchmarkour implementation on a Skylake-X processor and discuss the applicability ofour contribution and the directions for future work.