A CLASS OF BCH CODES OF LENGTH n = qm-1\4

被引：0

作者：

Zhang, Yanhui ^{[1
]}

Liu, Li ^{[1
]}

Li, Lanqiang ^{[2
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China

[2] Anhui Agr Univ, Sch Informat & Artificial Intelligence, Hefei 230036, Anhui, Peoples R China

来源：

ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2024年

基金：

中国国家自然科学基金;

关键词：

Cyclic code; BCH code; cyclotomic coset; weight distribution; MINIMUM DISTANCE;

D O I：

10.3934/amc.2024031

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

. Cyclic codes have been widely used in communication systems and data transmission due to their efficient encoding and decoding algorithms. In particular, BCH codes are a significant class of cyclic codes. This paper mainly studies a class of narrow-sense BCH codes with length n = q"-1\4 their parameters. Specifically, we determine the first few largest coset leaders and the weight distributions of some BCH codes. Finally, we obtain some linear codes with good parameters.

引用

页数：19

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