Improvements on generalized Hamming weights of some trace codes

DOI10.1007/s10623-005-3394-0zbMath1172.94643OpenAlexW2080732987MaRDI QIDQ2491298

Cem Güneri, Ferruh Özbudak

Publication date: 29 May 2006

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-005-3394-0

zbMATH Keywords

trace codesdivisibilitycyclic codesgeneralized Hamming weightsalgebraic function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20)

Related Items (1)

The second generalized Hamming weight of some evaluation codes arising from a projective torus

Cites Work

• Unnamed Item
• Elements of prescribed order, prescribed traces and systems of rational functions over finite fields
• Elementary abelian \(p\)-extensions of algebraic function fields
• Generalized Hamming weights for linear codes
• Zeros of Functions in Finite Abelian Group Algebras
• Generalized Hamming weights of trace codes
• An improved Serre bound for elementary Abelian extensions of F/sub q/(x) and the generalized Hamming weights of duals of BCH codes
• Zeroes of Polynomials Over Finite Fields

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