Optimal curves of low genus over finite fields

DOI10.1016/j.ffa.2015.09.008zbMath1346.11037arXiv0706.4203OpenAlexW2963907606MaRDI QIDQ897333

Alexey Zaytsev

Publication date: 17 December 2015

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

Full work available at URL: https://arxiv.org/abs/0706.4203

zbMATH Keywords

maximal curvescurves over finite fieldfunction fields over finite fields

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20)

Related Items (1)

Spanning the isogeny class of a power of an elliptic curve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Supersingular Curves of Genus 2 over Finite Fields of Characteristic 2
• Principally Polarized Ordinary Abelian Varieties Over Finite Fields
• New methods for bounding the number of points on curves over finite fields
• New bounds on the maximum number of points on genus-4 curves over small finite fields
• Abelian varieties over finite fields

This page was built for publication: Optimal curves of low genus over finite fields