A class of linear codes with a few weights

被引:0
|
作者
Can Xiang
Chunming Tang
Keqin Feng
机构
[1] South China Agricultural University,College of Mathematics and Informatics
[2] China West Normal University,School of Mathematics and Information
[3] Tsinghua University,Department of Mathematical Sciences
来源
关键词
Linear codes; Weight distribution; Weight enumerator; Secret sharing schemes; 94B05; 94B15; 94B60;
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学科分类号
摘要
Linear codes have been an interesting subject of study for many years, as linear codes with few weights have applications in secrete sharing, authentication codes, association schemes, and strongly regular graphs. In this paper, a class of linear codes with a few weights over the finite field GF(p) are presented and their weight distributions are also determined, where p is an odd prime. Some of the linear codes obtained are optimal in the sense that they meet certain bounds on linear codes.
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页码:93 / 116
页数:23
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