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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)
- 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
-
CC BY