Paper 2021/368 Original: eprint.iacr.org/2021/368 ↗

Memory Optimization Techniques for Computing Discrete Logarithms in Compressed SIKE

Aaron Hutchinson
Koray Karabina
Geovandro Pereira
Abstract

The supersingular isogeny-based key encapsulation (SIKE) suite stands as an attractive post-quantum cryptosystem with its relatively small public keys. Public key sizes in SIKE can further be compressed by computing pairings and solving discrete logarithms in certain subgroups of finite fields. This comes at a cost of precomputing and storing large discrete logarithm tables. In this paper, we propose several techniques to optimize memory requirements in computing discrete logarithms in SIKE, and achive to reduce table sizes by a factor of 4. We implement our techniques and verify our theoretical findings.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2021-03-22: last updated
2021-03-22: published
Short URL
https://ia.cr/2021/368
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2021/368,
      author = {Aaron Hutchinson and Koray Karabina and Geovandro Pereira},
      title = {Memory Optimization Techniques for Computing Discrete Logarithms in Compressed SIKE},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/368},
      year = {2021},
      url = {https://eprint.iacr.org/2021/368}
}
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