{"title":"A new class of optimal optical orthogonal codes with weight six","authors":"Su Wang, Lingye Wang, Jinhua Wang","doi":"10.1109/IWSDA.2015.7458416","DOIUrl":null,"url":null,"abstract":"In this paper, we give a direct construction for g-regular cyclic difference packings CDP(6, 1; gp)'s by utilizing Weil's theorem on character sum estimates over GF(p) with prime congruent to 7 modulo 12 and greater than 7, where g = 15, 20. As its application, we obtain a new class of optimal (gv, 6, 1) optical orthogonal codes with v a product of primes congruent to 7 modulo 12 and greater than 7 and g = 15, 20, 105, 140.","PeriodicalId":371829,"journal":{"name":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWSDA.2015.7458416","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we give a direct construction for g-regular cyclic difference packings CDP(6, 1; gp)'s by utilizing Weil's theorem on character sum estimates over GF(p) with prime congruent to 7 modulo 12 and greater than 7, where g = 15, 20. As its application, we obtain a new class of optimal (gv, 6, 1) optical orthogonal codes with v a product of primes congruent to 7 modulo 12 and greater than 7 and g = 15, 20, 105, 140.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
