Two kinds of division polynomials for twisted Edwards curves

DOI10.1007/s00200-011-0153-5zbMath1264.11046arXiv0907.4347OpenAlexW2137046350MaRDI QIDQ429775

Gary McGuire, Richard Moloney

Publication date: 20 June 2012

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4347

zbMATH Keywords

division polynomialsEdwards curvesElliptic curves

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (4)

Elliptic divisibility sequences over the Edwards model of elliptic curves ⋮ Some congruences of Kloosterman sums and their characteristic polynomials ⋮ Division polynomials on the Hessian model of elliptic curves ⋮ Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves

Uses Software

• SageMath

Cites Work

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• A complete set of addition laws for incomplete Edwards curves
• Twisted Edwards Curves
• The Arithmetic of Elliptic Curves
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
• Speeding the Pollard and Elliptic Curve Methods of Factorization
• Remarks on the Schoof-Elkies-Atkin algorithm
• Faster Addition and Doubling on Elliptic Curves
• A normal form for elliptic curves
• Memoir on Elliptic Divisibility Sequences

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