On the generalized weights of a class of trace codes

DOI10.1006/ffta.2000.0298zbMath1020.94021OpenAlexW4300922305MaRDI QIDQ5941627

Jean Pierre Cherdieu, Dany-Jack Mercier, Tony Narayaninsamy

Publication date: 20 August 2001

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

Full work available at URL: https://doi.org/10.1006/ffta.2000.0298

zbMATH Keywords

finite fieldstrace codessymmetric polynomialsReed-Solomon codes\(r\)-th mimimum distancehermitian formlinear codes over \(\mathbb{F}_q\)

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Bounds on codes (94B65)

Related Items (2)

The number of solutions of the equation \(\operatorname{Tr}_{\mathbb F_t/\mathbb F_s}(f(x)+v.x)=b\) and some applications ⋮ Two codes related to Hermitian forms

Cites Work

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• Artin-Schreier curves, exponential sums, and coding theory
• Generalized Hamming weights for linear codes
• The weight hierarchy of higher dimensional Hermitian codes
• Generalized Hamming weights of trace codes
• Exponential sums, codes, and Hermitian forms
• Hermitian Varieties in a Finite Projective Space PG(N, q²)

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