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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Faster Software Implementation of the Supersingular Isogeny Diffie-Hellman Key Exchange Protocol

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Faz-Hernandez, Armando [1] ; Lopez, Julio [1] ; Ochoa-Jimenez, Eduardo [2] ; Rodriguez-Henriquez, Francisco [2]
Total Authors: 4
[1] Univ Estadual Campinas, Inst Comp, 1251 Albert Einstein, Cidade Univ, BR-13083970 Campinas, SP - Brazil
[2] CINVESTAV IPN, Comp Sci Dept, Ciudad De Mexico 07360 - Mexico
Total Affiliations: 2
Document type: Journal article
Source: IEEE TRANSACTIONS ON COMPUTERS; v. 67, n. 11, p. 1622-1636, NOV 2018.
Web of Science Citations: 5

Since its introduction by Jao and De Feo in 2011, the supersingular isogeny Diffie-Hellman (SIDH) key exchange protocol has positioned itself as a promising candidate for post-quantum cryptography. One salient feature of the SIDH protocol is that it requires exceptionally short key sizes. However, the latency associated to SIDH is higher than the ones reported for other post-quantum cryptosystem proposals. Aiming to accelerate the SIDH runtime performance, we present in this work several algorithmic optimizations targeting both elliptic-curve and field arithmetic operations. We introduce in the context of the SIDH protocol a more efficient approach for calculating the elliptic curve operation P + {[}k]Q. Our strategy achieves a factor 1.4 speedup compared with the popular variable-three-point ladder algorithm regularly used in the SIDH shared secret phase. Moreover, profiting from pre-computation techniques our algorithm yields a factor 1.7 acceleration for the computation of this operation in the SIDH key generation phase. We also present an optimized evaluation of the point tripling formula, and discuss several algorithmic and implementation techniques that lead to faster field arithmetic computations. A software implementation of the above improvements on an Intel Skylake Core i7-6700 processor gives a factor 1.33 speedup against the state-of-the-art software implementation of the SIDH protocol reported by Costello-Longa-Naehrig in CRYPTO 2016. (AU)

FAPESP's process: 14/50704-7 - Secure execution of cryptographic algorithms
Grantee:Julio César López Hernández
Support Opportunities: Research Grants - Research Partnership for Technological Innovation - PITE