A. Alahmadi, T. Helleseth, N. Muthana, Atiqah Almuzaini, P. Solé
{"title":"Irreducible cyclic ℤ4—codes and allied sequences","authors":"A. Alahmadi, T. Helleseth, N. Muthana, Atiqah Almuzaini, P. Solé","doi":"10.1109/IWSDA.2015.7458395","DOIUrl":null,"url":null,"abstract":"With every odd integer N, is attached an infinite family of irreducible cyclic ℤ<sub>4</sub>-codes, of lengths of the form n = 2<sup>m</sup>- 1/N over N, for some m ≤ 3. The correlation performance of the related quaternary sequences is studied by means of incomplete Gauss sums over Galois rings.","PeriodicalId":371829,"journal":{"name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","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.2015.7458395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
With every odd integer N, is attached an infinite family of irreducible cyclic ℤ4-codes, of lengths of the form n = 2m- 1/N over N, for some m ≤ 3. The correlation performance of the related quaternary sequences is studied by means of incomplete Gauss sums over Galois rings.
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