Number of curves in the generalized Edwards form with minimal even cofactor of the curve order

DOI10.1134/S0032946017010082zbMath1433.11079OpenAlexW2607061750MaRDI QIDQ1752303

O. V. Tsygankova, A. V. Bessalov

Publication date: 24 May 2018

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0032946017010082

Mathematics Subject Classification ID

Elliptic curves (14H52) Curves over finite and local fields (11G20)

Related Items (4)

Special properties of the point addition law for non-cyclic Edwards curves ⋮ PQC CSIKE algorithm on non-cyclic Edwards curves ⋮ Supersingular twisted Edwards curves over prime fields. II: Supersingular twisted Edwards curves with the \(j\)-invariant equal to \(66^3\) ⋮ Supersingular twisted Edwards curves over prime fields. I: Supersingular twisted Edwards curves with \(j\)-invariants equal to zero and \(12^3\)

Cites Work

• Interrelation of families of points of high order on the Edwards curve over a prime field
• Exact number of elliptic curves in the canonical form, which are isomorphic to Edwards curves over prime field
• Twisted Edwards Curves
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves

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