Parameters of the Fastest Cryptographically Strong Twisted Edwards Curves

Authors

  • Anatoly Bessalov Igor Sikorsky Kiev Polytechnic Institute, Ukraine
  • Vladyslav Dykyi Igor Sikorsky Kiev Polytechnic Institute, Ukraine
  • Anton Malyshko Igor Sikorsky Kiev Polytechnic Institute, Ukraine
  • Oksana Tsygankova Igor Sikorsky Kiev Polytechnic Institute, Ukraine
  • Dariya Yadukha Igor Sikorsky Kiev Polytechnic Institute, Ukraine

DOI:

https://doi.org/10.20535/tacs.2664-29132019.1.168696

Abstract

An overview of twisted Edwards curves is given. The complexity of group operations for twisted Edwards curves is estimated. A computation minimization method using curve parameters minimum values selection is proposed. The tables of system-wide parameters for the 25 fastest crypto-strong twisted Edwards curves with field modulus lengths of 192, 224, 256, 384 and 521 bits are given.

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Published

2019-05-29

Issue

Vol. 1 No. 1 (2019)

Section

Theoretical and cryptographic problems of cybersecurity

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