Optimal curves over finite fields with discriminant \(-19\)

DOI10.1016/j.ffa.2011.02.006zbMath1219.11094arXiv0902.1901OpenAlexW2012836709MaRDI QIDQ549268

Yong-Cai Geng, Sumit K. Garg

Publication date: 7 July 2011

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1901

zbMATH Keywords

curves over finite fieldsexplicit equations of curves over finite fieldsoptimal curvesthe Hasse-Weil-Serre bound

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (2)

Investigation of automorphism group for code associated with optimal curve of genus three ⋮ New examples of maximal curves with low genus

Cites Work

• Unnamed Item
• Unnamed Item
• Idempotent relations and factors of Jacobians
• Classification of Hermitian forms with the neighbour method
• Variétés abeliennes ordinaires sur un corps fini
• Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves
• Supersingular Curves of Genus 2 over Finite Fields of Characteristic 2
• Abelian varieties over finite fields

This page was built for publication: Optimal curves over finite fields with discriminant \(-19\)