Generalized negacyclic codes over finite fields

被引：0
|
作者：
Jitman, Somphong [1 ]
Ling, San [2 ]
Tharnnukhroh, Jareena [2 ]
机构：
[1] Silpakorn Univ, Dept Math, Fac Sci, Nakhon Pathom 73000, Thailand
[2] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, 21 Nanyang Link, Singapore 637371, Singapore
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2023年 / 69卷 / 01期
关键词：
Cyclotomic Classes; Negacyclic Codes; Constabelian Codes; Generalized Negacyclic Codes; Self-Dual Codes; Complementary Dual Codes; ABELIAN CODES;
D O I：
10.1007/s12190-022-01753-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Linear codes with additional algebraic structures such as cyclic codes, negacyclic codes and abelian codes have become of interest due to their nice algebraic structures, wide applications and links with other mathematical objects. In this paper, a generalization of negacyclic codes is introduced and studied. Algebraic structures of such codes are given though cyclotomic classes of abelian groups and ideals in twisted group algebras. Recursive constructions and enumerations of such codes are presented. Characterizations of self-dual generalized negacyclic codes and complementary dual generalized negacyclic codes are given as well as their enumerations.
引用
收藏
页码：421 / 449
页数：29
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