{"title":"新的低相关性、大家族的p-ary序列","authors":"Fang Liu, D. Peng, Xiaohu Tang, Xianhua Niu","doi":"10.1109/IWSDA.2009.5346418","DOIUrl":null,"url":null,"abstract":"For odd prime p, two new p-ary sequence families with period p<sup>n</sup>−1 are constructed for odd n=2l+1=me and even n=2l=me respectively. It is shown that, for a given integer ρ, the proposed sequence families have maximum correlation 1+p<sup>n/2+(ρ−1)e+1</sup>, family size (p<sup>n</sup>−1)p<sup>nρ</sup>/2, and maximum linear span n(n+3).","PeriodicalId":120760,"journal":{"name":"2009 Fourth International Workshop on Signal Design and its Applications in Communications","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New p-ary sequences with low correlation and large family size\",\"authors\":\"Fang Liu, D. Peng, Xiaohu Tang, Xianhua Niu\",\"doi\":\"10.1109/IWSDA.2009.5346418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For odd prime p, two new p-ary sequence families with period p<sup>n</sup>−1 are constructed for odd n=2l+1=me and even n=2l=me respectively. It is shown that, for a given integer ρ, the proposed sequence families have maximum correlation 1+p<sup>n/2+(ρ−1)e+1</sup>, family size (p<sup>n</sup>−1)p<sup>nρ</sup>/2, and maximum linear span n(n+3).\",\"PeriodicalId\":120760,\"journal\":{\"name\":\"2009 Fourth International Workshop on Signal Design and its Applications in Communications\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 Fourth International Workshop on Signal Design and its Applications in Communications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWSDA.2009.5346418\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 Fourth International Workshop on Signal Design and its Applications in Communications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2009.5346418","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New p-ary sequences with low correlation and large family size
For odd prime p, two new p-ary sequence families with period pn−1 are constructed for odd n=2l+1=me and even n=2l=me respectively. It is shown that, for a given integer ρ, the proposed sequence families have maximum correlation 1+pn/2+(ρ−1)e+1, family size (pn−1)pnρ/2, and maximum linear span n(n+3).