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Title: A class of constacyclic codes and skew constacyclic codes over Z2s+uZ2s and their gray images
Authors: Kumar R.
Bhaintwal, Maheshanand
Published in: Journal of Applied Mathematics and Computing
Abstract: In this paper, we study (1 + 2 s-1u) -constacyclic codes and a class of skew (1 + 2 s-1u) -constacyclic codes of odd length over the ring R=Z2s+uZ2s, u2= 0 , where s≥ 3 is an odd integer. We have obtained the algebraic structure of (1 + 2 s-1u) -constacyclic codes over R. Three new Gray maps from R to Z2+ uZ2 have been defined and it is shown that Gray images of (1 + 2 s-1u) -constacyclic codes and skew (1 + 2 s-1u) -constacyclic codes are cyclic codes, quasi-cyclic codes or codes that are permutation equivalent to quasi-cyclic codes over Z2+ uZ2. Using Magma, some good cyclic codes of length 6 over Z2+ uZ2 are obtained. © 2020, Korean Society for Informatics and Computational Applied Mathematics.
Citation: Journal of Applied Mathematics and Computing, 66(44593): 111-128
Issue Date: 2021
Publisher: Springer Science and Business Media Deutschland GmbH
Keywords: Constacyclic codes
Cyclic codes
Gray images
Quasi-cyclic codes
Skew constacyclic codes
ISSN: 15985865
Author Scopus IDs: 57217697267
Author Affiliations: Kumar, R., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Bhaintwal, M., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Funding Details: The first author would like to thank the Ministry of Human Resource Development (MHRD), India for providing financial support. The authors would also like to thank the anonymous referees for their valuable comments and suggestions. Ministry of Human Resource Development, MHRD
Corresponding Author: Kumar, R.; Department of Mathematics, India; email:
Appears in Collections:Journal Publications [MA]

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