{"title":"2lt阶二元环切序列的扩展","authors":"Debashis Ghosh","doi":"10.1142/s1793830922501464","DOIUrl":null,"url":null,"abstract":"Several reasonably cyclotomic sequences are constructed by cyclotomic classes having good pseudo-randomness property. In this paper, we derive the linear complexity of an extended binary cyclotomic sequences of order [Formula: see text] over finite field having period [Formula: see text]. Our result shows that these sequences have higher linear complexity, which can resist linear attack.","PeriodicalId":342835,"journal":{"name":"Discret. Math. Algorithms Appl.","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An extension of binary cyclotomic sequences having order 2lt\",\"authors\":\"Debashis Ghosh\",\"doi\":\"10.1142/s1793830922501464\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Several reasonably cyclotomic sequences are constructed by cyclotomic classes having good pseudo-randomness property. In this paper, we derive the linear complexity of an extended binary cyclotomic sequences of order [Formula: see text] over finite field having period [Formula: see text]. Our result shows that these sequences have higher linear complexity, which can resist linear attack.\",\"PeriodicalId\":342835,\"journal\":{\"name\":\"Discret. Math. Algorithms Appl.\",\"volume\":\"88 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discret. Math. Algorithms Appl.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s1793830922501464\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discret. Math. Algorithms Appl.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s1793830922501464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An extension of binary cyclotomic sequences having order 2lt
Several reasonably cyclotomic sequences are constructed by cyclotomic classes having good pseudo-randomness property. In this paper, we derive the linear complexity of an extended binary cyclotomic sequences of order [Formula: see text] over finite field having period [Formula: see text]. Our result shows that these sequences have higher linear complexity, which can resist linear attack.