Hermitian codes from higher degree places

DOI10.1016/j.jpaa.2013.04.002zbMath1282.14057arXiv1206.4480OpenAlexW2950170496WikidataQ59249180 ScholiaQ59249180MaRDI QIDQ392232

Gábor P. Nagy, Gábor Korchmáros

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.4480

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)

Related Items (11)

Non-special subsets of the set of points of a curve defined over a finite field ⋮ On semigroups, Gröbner basis and algebras admitting a complete set of near weights ⋮ Weierstrass semigroups from Kummer extensions ⋮ Multi-point codes from the GGS curves ⋮ On the dual minimum distance and minimum weight of codes from a quotient of the Hermitian curve ⋮ On the geometry of Hermitian one-point codes ⋮ Multi-point codes over Kummer extensions ⋮ Pure Weierstrass gaps from a quotient of the Hermitian curve ⋮ Lower bounds on the minimum distance in Hermitian one-point differential codes ⋮ Triples of rational points on the Hermitian curve and their Weierstrass semigroups ⋮ Hermitian codes with automorphism group isomorphic to \(\operatorname{PGL}(2,q)\) with \(q\) odd

Uses Software

• GAP
• Magma

Cites Work

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