Three Families of Projective Binary Linear Codes of at Most Four Weights

Three classes of binary linear codes with at most four nonzero weights were constructed in this paper, in which two of them are projective three-weight codes. As applications, $s$-sum sets for any odd $ s > 1$ were constructed.

Publication Details

Journal
ArXiv.org
Published
2025-08-25
Primary Topic
Geochemistry and Geologic Mapping
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article
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article

Three Families of Projective Binary Linear Codes of at Most Four Weights

ArXiv.org
Geochemistry and Geologic Mapping
article

Three Families of Projective Binary Linear Codes of at Most Four Weights

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Abstract

Three classes of binary linear codes with at most four nonzero weights were constructed in this paper, in which two of them are projective three-weight codes. As applications, $s$-sum sets for any odd $ s > 1$ were constructed.

ArXiv.org
Openalex Percentile: Top 64%
Geochemistry and Geologic Mapping
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Three Families of Projective Binary Linear Codes of at Most Four Weights · ArXiv.org (2025) | TGRS Research Map | TGRS