Cyclic codes over Z(4) + uZ(4) + u(2)Z(4)

Özen, Mehmet; Nazmiye Tugba Ozzaim; Nuh Aydin

dc.contributor.authors	Ozen, M; Ozzaim, NT; Aydin, N;
dc.date.accessioned	2020-01-17T08:21:42Z
dc.date.available	2020-01-17T08:21:42Z
dc.date.issued	2017
dc.identifier.citation	Ozen, M; Ozzaim, NT; Aydin, N; (2017). Cyclic codes over Z(4) + uZ(4) + u(2)Z(4). TURKISH JOURNAL OF MATHEMATICS, 41, 1247-1235
dc.identifier.issn	1300-0098
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6092
dc.identifier.uri	https://doi.org/10.3906/mat-1602-35
dc.description.abstract	In this paper, we study cyclic codes over the ring R = Z(4) + uZ(4) + u(2)Z(4), where u(3) = 0. We investigate Galois extensions of this ring and the ideal structure of these extensions. The results are then used to obtain facts about cyclic codes over R. We also determine the general form of the generator of a cyclic code and find its minimal spanning sets. Finally, we obtain many new linear codes over Z(4) by considering Gray images of cyclic codes over R.
dc.language	English
dc.publisher	SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
dc.subject	Mathematics
dc.title	Cyclic codes over Z(4) + uZ(4) + u(2)Z(4)
dc.type	Article
dc.identifier.volume	41
dc.identifier.startpage	1235
dc.identifier.endpage	1247
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Özen, Mehmet
dc.relation.journal	TURKISH JOURNAL OF MATHEMATICS
dc.identifier.wos	WOS:000412021500014
dc.identifier.doi	10.3906/mat-1602-35
dc.identifier.eissn	1303-6149
dc.contributor.author	Özen, Mehmet
dc.contributor.author	Nazmiye Tugba Ozzaim
dc.contributor.author	Nuh Aydin