Cryptology ePrint Archive: Report 2022/217

High-Performance Hardware Implementation of Lattice-Based Digital Signatures

Luke Beckwith and Duc Tri Nguyen and Kris Gaj

Abstract: 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 Dilithium design that achieves the best latency for an FPGA implementation to date and, to the best of our knowledge, the first FALCON hardware implementation to date. We compare our results with the hardware implementations of all viable NIST Round 3 post-quantum digital signature candidates.

Category / Keywords: implementation / Post-Quantum Cryptography, digital signatures, lattice techniques, Number Theoretic Transform, implementation, FPGA

Date: received 21 Feb 2022

Contact author: lbeckwit at gmu edu, dnguye69 at gmu edu, kgaj at gmu edu

Available format(s): PDF | BibTeX Citation

Version: 20220225:074636 (All versions of this report)

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