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
-
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},
note = {\url{https://eprint.iacr.org/2020/1385}},
url = {https://eprint.iacr.org/2020/1385}
}
