Elliptic curves generation for isogeny-based cryptosystems
- Authors: Aleksandrova E.B.1, Shtyrkina A.A.1, Yarmak A.V.1
-
Affiliations:
- Peter the Great St. Petersburg Polytechnic University
- Issue: Vol 51, No 8 (2017)
- Pages: 928-935
- Section: Article
- URL: https://journal-vniispk.ru/0146-4116/article/view/175087
- DOI: https://doi.org/10.3103/S0146411617080028
- ID: 175087
Cite item
Abstract
Methods of generating supersingular and ordinary elliptic curves for isogeny-based cryptosystems have been studied. The influence of the class field polynomial on the time of generating ordinary elliptic curves has been analyzed and the comparative time of generating curves using Weber and Hilbert polynomials have been presented. Parameters that influence on the cryptographic security of isogeny-based cryptosystems have been considered.
Keywords
About the authors
E. B. Aleksandrova
Peter the Great St. Petersburg Polytechnic University
Author for correspondence.
Email: helen@ibks.spbstu.ru
Russian Federation, St. Petersburg
A. A. Shtyrkina
Peter the Great St. Petersburg Polytechnic University
Email: helen@ibks.spbstu.ru
Russian Federation, St. Petersburg
A. V. Yarmak
Peter the Great St. Petersburg Polytechnic University
Email: helen@ibks.spbstu.ru
Russian Federation, St. Petersburg
Supplementary files
