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.
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页数：19
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