Elliptic curves generation for isogeny-based cryptosystems


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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.

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

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Allerton Press, Inc.