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A Faster Way to the CSIDH

  • Michael Meyer
  • Steffen Reith
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11356)

Abstract

Recently Castryck, Lange, Martindale, Panny, and Renes published CSIDH, a new key exchange scheme using supersingular elliptic curve isogenies. Due to its small key sizes and the possibility of a non-interactive and a static-static key exchange, CSIDH seems very interesting for practical applications. However, the performance is rather slow. Therefore, we employ some techniques to speed up the algorithms, mainly by restructuring the elliptic curve point multiplications and by using twisted Edwards curves in the isogeny image curve computations, yielding a speed-up factor of 1.33 in comparison to the implementation of Castryck et al. Furthermore, we suggest techniques for constant-time implementations.

Keywords

CSIDH Post-quantum cryptography Supersingular elliptic curve isogenies 

Notes

Acknowledgements

This work was partially supported by Elektrobit Automotive, Erlangen, Germany. We thank Fabio Campos, Marc Stöttinger, and the anonymous reviewers for their helpful and valuable comments.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of Applied Sciences WiesbadenWiesbadenGermany
  2. 2.Department of MathematicsUniversity of WürzburgWürzburgGermany

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