## CryptoDB

### Paper: An Alternative Approach for SIDH Arithmetic

Authors: Cyril Bouvier Laurent Imbert DOI: 10.1007/978-3-030-75245-3_2 Search ePrint Search Google In this paper, we present new algorithms for the field arithmetic layers 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 1.17x speedup compared to SIKEp751 for a similar level of security.
##### BibTeX
@article{pkc-2021-30964,
title={An Alternative Approach for SIDH Arithmetic},
booktitle={Public-Key Cryptography - PKC 2021},
publisher={Springer},
doi={10.1007/978-3-030-75245-3_2},
author={Cyril Bouvier and Laurent Imbert},
year=2021
}