Quickly constructing curves of genus 4 with many points

DOI10.1090/conm/663/13353zbMath1417.11122arXiv1506.04478OpenAlexW2274664849MaRDI QIDQ3187548

Everett W. Howe

Publication date: 2 September 2016

Published in: Frobenius Distributions: (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04478

zbMATH Keywords

Jacobianrational pointsdefect

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (7)

On the maximality of hyperelliptic Howe curves of genus 3 ⋮ Curves of medium genus with many points ⋮ Fast enumeration of superspecial hyperelliptic curves of genus 4 with automorphism group \(V_4\) ⋮ The existence of supersingular curves of genus 4 in arbitrary characteristic ⋮ Decomposed Richelot isogenies of Jacobian varieties of curves of genus 3 ⋮ New examples of maximal curves with low genus ⋮ On the spectrum for the genera of maximal curves over small fields

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