Hermitian codes with automorphism group isomorphic to \(\operatorname{PGL}(2,q)\) with \(q\) odd

DOI10.1016/j.ffa.2016.11.003zbMath1354.14053OpenAlexW2549094088MaRDI QIDQ730366

Gábor Korchmáros, Pietro Speziali

Publication date: 27 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.11.003

zbMATH Keywords

automorphism grouprational pointHermitian curveHermitian code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (3)

Multi point AG codes on the GK maximal curve ⋮ Unnamed Item ⋮ The asymptotic behavior of automorphism groups of function fields over finite fields

Cites Work

• Hermitian codes from higher degree places
• On automorphisms of geometric Goppa codes
• On automorphism groups of certain Goppa codes
• On Goppa codes and Weierstrass gaps at several points
• Lower bounds on the minimum distance in Hermitian one-point differential codes
• Which linear codes are algebraic-geometric?
• Algebraic Function Fields and Codes
• Automorphism groups of some AG codes
• Codes and information
• On the automorphism group of various Goppa codes
• Improvements on parameters of one-point AG codes from Hermitian curves
• On the decoding of algebraic-geometric codes
• On automorphism groups of the Hermitian codes
• Weierstrass pairs and minimum distance of Goppa codes
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