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Paper 2020/1385

An Alternative Approach for SIDH Arithmetic

Cyril Bouvier and Laurent Imbert

Abstract

In this paper, we present new algorithms for the field arithmetic of supersingular isogeny Diffie-Hellman; one of the fifteen remaining candidates in the NIST post-quantum standardization process. Our approach uses a polynomial representation of the field elements together with mechanisms to keep the coefficients within bounds during the arithmetic operations. We present timings and comparisons for SIKEp503 and suggest a novel 736-bit prime that offers a $1.17\times$ speedup compared to SIKEp751 for a similar level of security.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint. MINOR revision.
Keywords
Supersingular isogeny Diffie-HellmanPolynomial Modular Number SystemEfficient arithmetic
Contact author(s)
cyril bouvier @ lirmm fr,laurent imbert @ lirmm fr
History
2021-04-19: revised
2020-11-10: received
See all versions
Short URL
https://ia.cr/2020/1385
License
Creative Commons Attribution
CC BY
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