Faster Key Generation of Supersingular Isogeny Diffie-Hellman

Kaizhan LIN
Fangguo ZHANG
Chang-An ZHAO

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E105-A    No.12    pp.1551-1558
Publication Date: 2022/12/01
Publicized: 2022/05/30
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2022EAP1026
Type of Manuscript: PAPER
Category: Cryptography and Information Security
Keyword: 
SIDH,  SIKE,  isogeny-based cryptography,  post-quantum cryptography,  Montgomery ladder,  

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Summary: 
Supersingular isogeny Diffie-Hellman (SIDH) is attractive for its relatively small public key size, but it is still unsatisfactory due to its efficiency, compared to other post-quantum proposals. In this paper, we focus on the performance of SIDH when the starting curve is E6 : y2 = x3 + 6x2 + x, which is fixed in Round-3 SIKE implementation. Inspired by previous works [1], [2], we present several tricks to accelerate key generation of SIDH and each process of SIKE. Our experimental results show that the performance of this work is at least 6.09% faster than that of the SIKE implementation, and we can further improve the performance when large storage is available.