Number of points on a family of curves over a finite field

2016/10/10 by Thiéyacine Top, Top, Thieyacine
Computer Science · Mathematics · #Coding theory and cryptography #Cryptography and Residue Arithmetic #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1610.02978

Abstract

In this paper we study a family of curves obtained by fibre products of hyperelliptic curves. We then exploit this family to construct examples of curves of given genus g over a finite field Fq with many rational points. The results obtained improve the known bounds for a few pairs (q, g).

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