The Case for SIKE: A Decade of the Supersingular Isogeny Problem

Craig Costello

Paper 2021/543

The Case for SIKE: A Decade of the Supersingular Isogeny Problem

Craig Costello

Abstract

To mark the 10-year anniversary of supersingular isogeny Diffie-Hellman, I will touch on 10 points in defense and support of the SIKE protocol, including the rise of classical hardness, the fact that quantum computers do not seem to offer much help in solving the underlying problem, and the importance of concrete cryptanalytic clarity. In the final section I present the two SIKE challenges: $55k USD is up for grabs for the solutions of mini instances that, according to the SIKE team's security analysis, provide significantly less than 64 bits of classical security. I conclude by urging the proponents of other schemes to construct analogous challenge instances.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Contact author(s): craigco @ microsoft com
History: 2021-06-17: last of 5 revisions; 2021-04-27: received; See all versions
Short URL: https://ia.cr/2021/543
License: CC BY

BibTeX

@misc{cryptoeprint:2021/543,
      author = {Craig Costello},
      title = {The Case for {SIKE}: A Decade of the Supersingular Isogeny Problem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/543},
      year = {2021},
      url = {https://eprint.iacr.org/2021/543}
}