Repeated-root constacyclic codes of length kslmpn over finite fields

被引：0
|
作者：
Zhang, Qi [1 ]
Wang, Weiqiong [1 ,2 ]
Luo, Shuyu [1 ]
Li, Yue [1 ]
机构：
[1] Changan Univ, Sch Sci, Xian 710064, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2025年 / 101卷
关键词：
Finite field; Constacyclic code; Generator polynomial; Dual code; LCD code; CYCLIC CODES;
D O I：
10.1016/j.ffa.2024.102542
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For different odd primes k , l , p , and positive integers s , m , n , the polynomial x k s l m p n - lambda in F q [x] is explicitly factorized, where p is the characteristic of F q , lambda is an element of F q & lowast; . All repeated-root constacyclic codes and their dual codes of length k s l m p n over F q are characterized. In addition, the characterization and enumeration of all linear complementary dual (LCD) cyclic and negacyclic codes of length k s l m p n over F q are obtained. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：42
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