{"title":"The Properties of the 1-error Linear Complexity of pn-periodic Sequences Over Fp","authors":"Ming Su, Lusheng Chen","doi":"10.1109/ISIT.2006.261899","DOIUrl":null,"url":null,"abstract":"Some properties of p<sup>n</sup>-periodic sequences over F<sub>p </sub> with fixed linear complexity value are found. Based on this, the distribution of the 1-error linear complexity of p<sup>n</sup>-periodic sequences over F<sub>p</sub> is provided. The expectation of the 1-error linear complexity of random p<sup>n</sup>-periodic sequences over F<sub>p</sub> is calculated and its estimated range is given. According to these results, an efficient algorithm for computing the 1-error linear complexity of a p<sup>n</sup>-periodic sequence, as well as a new algorithm for determining all the error vectors that give the 1-error linear complexity, is proposed","PeriodicalId":115298,"journal":{"name":"2006 IEEE International Symposium on Information Theory","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2006.261899","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
Some properties of pn-periodic sequences over Fp with fixed linear complexity value are found. Based on this, the distribution of the 1-error linear complexity of pn-periodic sequences over Fp is provided. The expectation of the 1-error linear complexity of random pn-periodic sequences over Fp is calculated and its estimated range is given. According to these results, an efficient algorithm for computing the 1-error linear complexity of a pn-periodic sequence, as well as a new algorithm for determining all the error vectors that give the 1-error linear complexity, is proposed
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