{"title":"Cyclic codes over ℤ4 + uℤ4","authors":"R. Bandi, Maheshanand Bhaintwal","doi":"10.1109/IWSDA.2015.7458411","DOIUrl":null,"url":null,"abstract":"In this paper, we study cyclic codes over the ring R = ℤ<sub>4</sub> + uℤ<sub>4</sub>, u<sup>2</sup> = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results.","PeriodicalId":371829,"journal":{"name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2015.7458411","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, we study cyclic codes over the ring R = ℤ4 + uℤ4, u2 = 0. We discuss the Galois ring extensions of R and the ideal structure of these extensions. We have studied cyclic codes of odd lengths over R and also presented 1-generator cyclic codes over R interms nth roots of unity. Some examples are given to illustrate the results.
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