{"title":"一种新的低相关大尺寸素相序列族","authors":"Nigang Sun, L. Hu, Li Lu, Xuyun Nie","doi":"10.1109/IWSDA.2007.4408413","DOIUrl":null,"url":null,"abstract":"A new family of p-phase low-correlation sequences with large family size, where p is an odd prime, is constructed by using the highest coordinate of linear recurrence sequences over the ring Z<sub>p</sub> <sup>l</sup>, for l ges 2. Utilizing Galois ring theory (the local Weil bound) and spectral analysis over the additive group of Z<sub>p</sub> <sup>l</sup>, we derive an estimate of the correlation of the sequences.","PeriodicalId":303512,"journal":{"name":"2007 3rd International Workshop on Signal Design and Its Applications in Communications","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A New Prime-Phase Sequence Family with Low Correlation and Large Size\",\"authors\":\"Nigang Sun, L. Hu, Li Lu, Xuyun Nie\",\"doi\":\"10.1109/IWSDA.2007.4408413\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new family of p-phase low-correlation sequences with large family size, where p is an odd prime, is constructed by using the highest coordinate of linear recurrence sequences over the ring Z<sub>p</sub> <sup>l</sup>, for l ges 2. Utilizing Galois ring theory (the local Weil bound) and spectral analysis over the additive group of Z<sub>p</sub> <sup>l</sup>, we derive an estimate of the correlation of the sequences.\",\"PeriodicalId\":303512,\"journal\":{\"name\":\"2007 3rd International Workshop on Signal Design and Its Applications in Communications\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 3rd International Workshop on Signal Design and Its Applications in Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWSDA.2007.4408413\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 3rd International Workshop on Signal Design and Its Applications in Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2007.4408413","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A New Prime-Phase Sequence Family with Low Correlation and Large Size
A new family of p-phase low-correlation sequences with large family size, where p is an odd prime, is constructed by using the highest coordinate of linear recurrence sequences over the ring Zpl, for l ges 2. Utilizing Galois ring theory (the local Weil bound) and spectral analysis over the additive group of Zpl, we derive an estimate of the correlation of the sequences.