Parallel strategies for SIDH: Towards computing SIDH twice as fast

Daniel Cervantes-Vázquez; Eduardo Ochoa-Jiménez; Francisco Rodríguez-Henríquez

Paper 2020/383

Parallel strategies for SIDH: Towards computing SIDH twice as fast

Daniel Cervantes-Vázquez, Eduardo Ochoa-Jiménez, and Francisco Rodríguez-Henríquez

Abstract

We present novel strategies and concrete algorithms for the parallel computation of the Supersingular Isogeny-based Diffie-Hellman key exchange (SIDH) protocol when executed on multi-core platforms. The most relevant design idea exploited by our approach is that of concurrently computing scalar multiplication operations along with a parallelized version of the strategies required for constructing and evaluating large smooth degree isogenies. We report experimental results showing that a three-core implementation of our parallel approach achieves an acceleration factor of 1.56 compared against a sequential implementation of the SIKE protocol.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Preprint. MINOR revision.
Keywords: Isogeny-based cryptography post-quantum cryptography Isogeny Isogenies Parallel Computing SIKE
Contact author(s): dcervantes @ computacion cs cinvestav mx
francisco @ cs cinvestav mx
History: 2020-04-07: last of 3 revisions; 2020-04-03: received; See all versions
Short URL: https://ia.cr/2020/383
License: CC BY

BibTeX

@misc{cryptoeprint:2020/383,
      author = {Daniel Cervantes-Vázquez and Eduardo Ochoa-Jiménez and Francisco Rodríguez-Henríquez},
      title = {Parallel strategies for {SIDH}: Towards computing {SIDH} twice as fast},
      howpublished = {Cryptology {ePrint} Archive, Paper 2020/383},
      year = {2020},
      url = {https://eprint.iacr.org/2020/383}
}