A Fast Finite Field Multiplier for SIKE

Abstract: Various post-quantum cryptography algorithms have been recently proposed. Supersingluar isogeny Diffie-Hellman key exchange (SIKE) is one of the most promising candidates due to its small key size. However, the SIKE scheme requires numerous finite field multiplications for its isogeny computation, and hence suffers from slow encryption and decryption process. In this paper, we propose a fast finite field multiplier design that performs multiplications in GF(p) with high throughput and low latency. The design accelerates the computation by adopting deep pipelining, and achieves high hardware utilization through data interleaving. The proposed finite field multiplier demonstrates 4.48 times higher throughput than prior work based on the identical fast multiplication algorithm and 1.43 times higher throughput than the state-of-the-art fast finite field multiplier design aimed at SIKE.