Weight distributions of two classes of linear codes with five or six weights

DOI10.1016/j.disc.2022.112881zbMath1495.94126OpenAlexW3142427448MaRDI QIDQ2138976

Xina Zhang, Xiaoni Du, Wengang Jin

Publication date: 17 May 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2022.112881

zbMATH Keywords

linear codesWeil sumsweight distributionsalmost optimal codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Exponential sums (11T23)

Related Items

A class of quadratic forms and the associated few-weight codes

Uses Software

• Code Tables

Cites Work

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• Linear codes with few weights from inhomogeneous quadratic functions
• Evaluation of the Hamming weights of a class of linear codes based on Gauss sums
• The number of rational points of a class of Artin-Schreier curves.
• Two-weight and three-weight linear codes based on Weil sums
• A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
• Cyclotomic Linear Codes of Order $3$
• Further evaluations of Weil sums
• Explicit evaluations of some Weil sums
• Fundamentals of Error-Correcting Codes
• Complete weight enumerators of two classes of linear codes

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