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Some new results on dimension and Bose distance for various classes of BCH codes

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成果类型:
期刊论文
作者:
Cherchem, Ahmed;Jamous, Abdelillah*;Liu, Hongwei;Maouche, Youcef
通讯作者:
Jamous, Abdelillah
作者机构:
[Maouche, Youcef; Jamous, Abdelillah; Cherchem, Ahmed] Univ Sci & Technol Houari Boumediene, Fac Math, Algiers, Algeria.
[Liu, Hongwei] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
通讯机构:
[Jamous, Abdelillah] U
Univ Sci & Technol Houari Boumediene, Fac Math, Algiers, Algeria.
语种:
英文
关键词:
BCH code;Bose distance;Cyclic code;Cyclotomic coset;Minimum distance
期刊:
Finite Fields and Their Applications
ISSN:
1071-5797
年:
2020
卷:
65
页码:
101673
基金类别:
The authors sincerely thank the anonymous reviewers and the editor for their very helpful comments and suggestions, which have greatly improved the presentation of this paper. Part of this work has been done during the stay of the second and the fourth authors at School of Mathematics and Statistics, Central China Normal University, Wuhan, China. They would like to thank the members of this institution for their welcome. The third author was supported by NSFC (Grant No. 11871025 ).
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
In this paper, we give the dimension and the minimum distance of two subclasses of narrow-sense primitive BCH codes over F q with designed distance delta = aq(m-1) (resp. delta = a q(m)-1/q-1) for all 1

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