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A note on factorisation of division polynomials

2006/06/27 by Daniel Sadornil, D. Sadornil, Sadornil, D.
Computer Science · Mathematics · #11T71 #14H52 #Algebraic Geometry and Number Theory #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11T71 #msc:14H52

paper · pdf · doi:10.48550/arxiv.math/0606684

4 pages

arxiv created 2006/06/27 · openalex publication_date 2006/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper Factorisation of division polynomials (H. Verdure, Proc. japan Academy, Ser A. 80 n. 5), Verdure gives the factorisation patterns of division polynomials of elliptic curves defined over a finite field. However, the result given there contains a mistake. In this paper, we correct it.

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