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Applicable Algebra in Engineering, Communication and Computing
Erschienen in: Applicable Algebra in Engineering, Communication and Computing 3/2024

04.05.2022 | Original Paper

A class of three-weight linear codes over finite fields of odd characteristic

verfasst von: Bingbing Duan, Guangguo Han, Yanfeng Qi

Erschienen in: Applicable Algebra in Engineering, Communication and Computing | Ausgabe 3/2024

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Abstract

Applied in communication, data storage system, secret sharing schemes, authentication codes and association schemes, linear codes attract much attention. In this paper, a class of three-weight linear codes is obtained by the defining sets over finite fields of odd characteristic. The parameters and weight distributions of linear codes are determined by the additive characters, multiplicative characters and Gauss sums. Further, most of linear codes obtained are minimal, which can be used to construct secret sharing schemes.
Vorheriger Artikel RLWE and PLWE over cyclotomic fields are not equivalent
Nächster Artikel Nonexistence of perfect permutation codes under the -metric

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Metadaten
Titel
A class of three-weight linear codes over finite fields of odd characteristic
verfasst von
Bingbing Duan
Guangguo Han
Yanfeng Qi
Publikationsdatum
04.05.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Applicable Algebra in Engineering, Communication and Computing / Ausgabe 3/2024
Print ISSN: 0938-1279
Elektronische ISSN: 1432-0622
DOI
https://doi.org/10.1007/s00200-022-00554-7

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