November 30, 2022
Luke Beckwith - George Mason University
Many currently deployed public-key cryptosystems are based on the difficulty of the discrete logarithm and integer factorization problems. However, given an adequately sized quantum computer, these problems can be solved in polynomial time as a function of the key size. Due to the future threat of quantum computing to current cryptographic standards, alternative algorithms that remain secure under quantum computing are being evaluated for future use. As a part of this evaluation, high-performance implementations of these candidate algorithms must be investigated. This work presents a high-performance implementation of all operations of CRYSTALS-Dilithium and one operation of FALCON (signature verification) targeting FPGAs. In particular, we present a high performance Dilithium design and, to the best of our knowledge, the first FALCON hardware implementation which implements signature verification. We compare our results with the hardware implementations of all viable NIST Round 3 post-quantum digital signature candidates.