A. Alahmadi, T. Helleseth, N. Muthana, Atiqah Almuzaini, P. Solé
{"title":"不可约循环l4码及其相关序列","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":"{\"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}","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}
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.