Unramified abelian covers with many points

2025/10/20 by Jean Gasnier, Gasnier, Jean
Computer Science · Mathematics · #11G20 (Primary) 11G45 (Secondary) #Algebraic Geometry and Number Theory #Coding theory and cryptography #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2510.17632

openalex publication_date 2025/10/20 · openalex created_date 2025/10/22 · openalex updated_date 2026/07/28

Abstract

We produce curves with a record number of points over the finite fields with 4, 9, 16 and 25 elements, as unramified abelian covers of algebraic curves.

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