{"title":"从函数场中得到了一类新的低相关性和大线性复杂度的二值序列","authors":"Honggang Hu, L. Hu, D. Feng","doi":"10.1109/ISIT.2005.1523695","DOIUrl":null,"url":null,"abstract":"Recently Xing et al constructed some families of binary sequences with low correlation and large linear complexity by making use of the theory of Artin-Schreier extensions of function fields. In this paper, we present a new construction by using the theory of Kummer extensions of function fields. The analysis shows than they have large periods, large linear complexities, and low correlations. In some cases, our method is better than that of Xing et al","PeriodicalId":166130,"journal":{"name":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","volume":"256 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new class of binary sequences with low correlation and large linear complexity from function fields\",\"authors\":\"Honggang Hu, L. Hu, D. Feng\",\"doi\":\"10.1109/ISIT.2005.1523695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Recently Xing et al constructed some families of binary sequences with low correlation and large linear complexity by making use of the theory of Artin-Schreier extensions of function fields. In this paper, we present a new construction by using the theory of Kummer extensions of function fields. The analysis shows than they have large periods, large linear complexities, and low correlations. In some cases, our method is better than that of Xing et al\",\"PeriodicalId\":166130,\"journal\":{\"name\":\"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.\",\"volume\":\"256 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2005.1523695\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2005.1523695","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new class of binary sequences with low correlation and large linear complexity from function fields
Recently Xing et al constructed some families of binary sequences with low correlation and large linear complexity by making use of the theory of Artin-Schreier extensions of function fields. In this paper, we present a new construction by using the theory of Kummer extensions of function fields. The analysis shows than they have large periods, large linear complexities, and low correlations. In some cases, our method is better than that of Xing et al
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