Weierstrass semigroup and automorphism group of the curves \(\mathcal{X}_{n,r}\)

DOI10.1016/j.ffa.2015.07.004zbMath1397.11110arXiv1411.5967OpenAlexW1059139616MaRDI QIDQ747975

Herivelto Borges, Alonso Sepúlveda Castellanos, Guilherme Tizziotti

Publication date: 19 October 2015

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

Full work available at URL: https://arxiv.org/abs/1411.5967

zbMATH Keywords

automorphism groupalgebraic curvesWeierstrass semigroup

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphisms of curves (14H37)

Related Items (1)

Minimal value set polynomials over fields of size 𝑝³

Cites Work

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• On automorphisms of geometric Goppa codes
• Consecutive Weierstrass gaps and minimum distance of Goppa codes
• On Goppa codes and Weierstrass gaps at several points
• Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. II: Ein spezieller Typ von Funktionenkörpern
• Determining irreducibility and ramification groups for an additive extension of the rational function field.
• The automorphism groups of a family of maximal curves
• Algebraic curves with a large non-tame automorphism group fixing no point
• Algebraic Geometry Codes from Castle Curves
• Automorphism groups of algebraic curves with p -rank zero
• ALGEBRAICO-GEOMETRIC CODES
• On the automorphism group of various Goppa codes
• The minimum distance of codes in an array coming from telescopic semigroups
• Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes
• The automorphism group of the generalized Giulietti–Korchmáros function field
• Conjectural permutation decoding of some AG codes
• Weierstrass pairs and minimum distance of Goppa codes

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