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
Published by the IACR in PKC 2021
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

BibTeX

@misc{cryptoeprint:2020/1385,
      author = {Cyril Bouvier and Laurent Imbert},
      title = {An Alternative Approach for {SIDH} Arithmetic},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/1385},
      year = {2020},
      url = {https://eprint.iacr.org/2020/1385}
}
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