An Alternative Approach for Computing Discrete Logarithms in Compressed SIDH
Cryptography and Security
2021-11-23 v2
Abstract
Currently, public-key compression of supersingular isogeny Diffie-Hellman (SIDH) and its variant, supersingular isogeny key encapsulation (SIKE) involve pairing computation and discrete logarithm computation. In this paper, we propose novel methods to compute only 3 discrete logarithms instead of 4, in exchange for computing a lookup table efficiently. The algorithms also allow us to make a trade-off between memory and efficiency. Our implementation shows that the efficiency of our algorithms is close to that of the previous work, and our algorithms perform better in some special cases.
Keywords
Cite
@article{arxiv.2111.10226,
title = {An Alternative Approach for Computing Discrete Logarithms in Compressed SIDH},
author = {Kaizhan Lin and Weize Wang and Lin Wang and Chang-An Zhao},
journal= {arXiv preprint arXiv:2111.10226},
year = {2021}
}
Comments
20 pages