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

DOI10.1016/j.disc.2023.113640OpenAlexW4385824124MaRDI QIDQ6056734

Sen Wang, Xianhong Xie, Yi Ouyang

Publication date: 4 October 2023

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

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113640

zbMATH Keywords

quadratic formGriesmer boundweight enumeratorsWeil sumsPless power moments

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Quadratic forms over general fields (11E04) Other character sums and Gauss sums (11T24)

Cites Work

• Unnamed Item
• A class of two or three weights linear codes and their complete weight enumerators
• Weight distributions of two classes of linear codes with five or six weights
• Complete weight enumerators of a class of linear codes with two or three weights
• A construction of several classes of two-weight and three-weight linear codes
• Further evaluations of Weil sums
• Explicit evaluations of some Weil sums
• Fundamentals of Error-Correcting Codes
• A Bound for Error-Correcting Codes
• Vectorial bent functions and linear codes from quadratic forms

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