A family of linear codes with three weights
Yang Yan, Fei Li, Qiuyan Wang
TL;DR
This paper introduces a new class of binary linear codes with exactly three weights, expanding the family of codes constructed via defining sets and contributing to the development of optimal codes with few weights.
Contribution
The paper presents a novel family of three-weight binary linear codes constructed through defining sets, adding to the existing methods for creating codes with few weights.
Findings
Constructed a new class of three-weight binary linear codes
Demonstrated the optimality of the codes within certain parameters
Expanded the understanding of codes derived from defining sets
Abstract
Recently, linear codes constructed by defining sets have attracted a lot of study, and many optimal linear codes with a few weights have been produced. The objective of this paper is to present a class of binary linear codes with three weights.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Graph Labeling and Dimension Problems