{"title":"New construction of asymptotically optimal optical orthogonal codes","authors":"Jin-Ho Chung, Kyeongcheol Yang","doi":"10.1109/ITWF.2015.7360748","DOIUrl":null,"url":null,"abstract":"An optical orthogonal code (OOC) of length N is a set of {0, 1}-sequences of length N, all of which have a constant weight. It is employed as a spreading code in optical communication systems, where 1 means signal `on' and 0 signal `off.' In this paper, we present a generic construction of OOCs of length (q-1)N from an OOC of length N, where q is a prime power with gcd(q -1,N) = 1. This construction can be applied to any OOCs with maximum correlation value 1 and weight less than or equal to q. As a result, a new family of asymptotically optimal OOCs with respect to the Johnson bound can be obtained from an optimal OOC with maximum correlation value 1.","PeriodicalId":281890,"journal":{"name":"2015 IEEE Information Theory Workshop - Fall (ITW)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE Information Theory Workshop - Fall (ITW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITWF.2015.7360748","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
An optical orthogonal code (OOC) of length N is a set of {0, 1}-sequences of length N, all of which have a constant weight. It is employed as a spreading code in optical communication systems, where 1 means signal `on' and 0 signal `off.' In this paper, we present a generic construction of OOCs of length (q-1)N from an OOC of length N, where q is a prime power with gcd(q -1,N) = 1. This construction can be applied to any OOCs with maximum correlation value 1 and weight less than or equal to q. As a result, a new family of asymptotically optimal OOCs with respect to the Johnson bound can be obtained from an optimal OOC with maximum correlation value 1.
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