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Title: Generalized negacyclic codes over finite fields
Authors: Jitman, Somphong
Ling, San
Tharnnukhroh, Jareena
Keywords: Science::Mathematics::Algebra
Science::Mathematics::Applied mathematics::Information theory
Issue Date: 2022
Source: Jitman, S., Ling, S. & Tharnnukhroh, J. (2022). Generalized negacyclic codes over finite fields. Journal of Applied Mathematics and Computing.
Project: 04INS000047C230GRT01
Journal: Journal of Applied Mathematics and Computing
Abstract: 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.
ISSN: 1598-5865
DOI: 10.1007/s12190-022-01753-8
Schools: School of Physical and Mathematical Sciences 
Rights: © 2022 The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:SPMS Journal Articles

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