Huff’s form for elliptic curves over a local ring

Let Fq be a finite field of order q=pc, where p is a prime number ≥3, c∈N∗. In this paper, we introduce Huff curves denoted Ha,b2 over the local ring R2=Fq[X]/(X2). At first, we recall the arithmetic of the ring R2. After that, we define Huff curves Ha,b2 over this ring and we study the group Ha,b2,...

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Bibliographic Details
Published in:	Scientific African
Main Authors:	Abdelhakim Chillali, Moha Ben Taleb El Hamam, Abdelâli Grini
Format:	Article
Language:	English
Published:	Elsevier 2025-03-01
Subjects:	Elliptic curve Huff curve Finite ring Cryptography
Online Access:	http://www.sciencedirect.com/science/article/pii/S2468227625000675

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