Cyclic and some constacyclic codes over the ring Z(4)[u]/< u(2)-1 >

Özen, Mehmet; Fatma Zehra Uzekmek; Nuh Aydin; N. Tugba Ozzaim

dc.contributor.authors	Ozen, M; Uzekmek, FZ; Aydin, N; Ozzaim, NT;
dc.date.accessioned	2020-01-17T08:21:40Z
dc.date.available	2020-01-17T08:21:40Z
dc.date.issued	2016
dc.identifier.citation	Ozen, M; Uzekmek, FZ; Aydin, N; Ozzaim, NT; (2016). Cyclic and some constacyclic codes over the ring Z(4)[u]/< u(2)-1 >. FINITE FIELDS AND THEIR APPLICATIONS, 38, 39-27
dc.identifier.issn	1071-5797
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6067
dc.identifier.uri	https://doi.org/10.1016/j.ffa.2015.12.003
dc.description.abstract	In this paper, we study cyclic codes and constacyclic codes with shift constant (2 + u) over R = Z(4) + uZ(4), where u(2) = 1. We determine the form of the generators of the cyclic codes over this ring and their spanning sets. Considering their Z(4) images, we prove that the Z(4)-image of a (2 + u)-constacyclic code of odd length is a cyclic code over Z(4). We also present many examples of cyclic codes over R whose Z(4)-images have better parameters than previously best-known Z(4)-linear codes. (C) 2015 Elsevier Inc. All rights reserved.
dc.language	English
dc.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
dc.subject	Mathematics
dc.title	Cyclic and some constacyclic codes over the ring Z(4)[u]/< u(2)-1 >
dc.type	Article
dc.identifier.volume	38
dc.identifier.startpage	27
dc.identifier.endpage	39
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Özen, Mehmet
dc.relation.journal	FINITE FIELDS AND THEIR APPLICATIONS
dc.identifier.wos	WOS:000369351600003
dc.identifier.doi	10.1016/j.ffa.2015.12.003
dc.identifier.eissn	1090-2465
dc.contributor.author	Özen, Mehmet
dc.contributor.author	Fatma Zehra Uzekmek
dc.contributor.author	Nuh Aydin
dc.contributor.author	N. Tugba Ozzaim