{"title":"一类新的码和广义Kasami序列","authors":"Xiangyong Zeng, Qingchong Liu, L. Hu","doi":"10.1109/ISIT.2006.261791","DOIUrl":null,"url":null,"abstract":"A family of [2<sup>n</sup> - 1, 5n/2, 2<sup>n-1</sup> - 2<sup>n/2 </sup>] codes with n even is proposed and the weight distribution is completely determined. These codes are applied to construct new families of binary sequences with period (2<sup>n</sup> $1), including the small set of Kasami sequences. The binary sequence families have the same family size and correlation values as the large set of Kasami sequences","PeriodicalId":115298,"journal":{"name":"2006 IEEE International Symposium on Information Theory","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A New Family of Codes and Generalized Kasami Sequences\",\"authors\":\"Xiangyong Zeng, Qingchong Liu, L. Hu\",\"doi\":\"10.1109/ISIT.2006.261791\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A family of [2<sup>n</sup> - 1, 5n/2, 2<sup>n-1</sup> - 2<sup>n/2 </sup>] codes with n even is proposed and the weight distribution is completely determined. These codes are applied to construct new families of binary sequences with period (2<sup>n</sup> $1), including the small set of Kasami sequences. The binary sequence families have the same family size and correlation values as the large set of Kasami sequences\",\"PeriodicalId\":115298,\"journal\":{\"name\":\"2006 IEEE International Symposium on Information Theory\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2006.261791\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2006.261791","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Family of Codes and Generalized Kasami Sequences
A family of [2n - 1, 5n/2, 2n-1 - 2n/2 ] codes with n even is proposed and the weight distribution is completely determined. These codes are applied to construct new families of binary sequences with period (2n $1), including the small set of Kasami sequences. The binary sequence families have the same family size and correlation values as the large set of Kasami sequences
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