Interrelation of families of points of high order on the Edwards curve over a prime field

DOI10.1134/S0032946015040080zbMath1396.11090OpenAlexW2243415373MaRDI QIDQ327313

A. V. Bessalov, O. V. Tsygankova

Publication date: 19 October 2016

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

Full work available at URL: https://doi.org/10.1134/s0032946015040080

Mathematics Subject Classification ID

Cryptography (94A60) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (5)

Algorithms for base point generation on an Edwards curve with the use of point divisibility criteria ⋮ Special properties of the point addition law for non-cyclic Edwards curves ⋮ Number of curves in the generalized Edwards form with minimal even cofactor of the curve order ⋮ 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

• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves

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