{"title":"一类新的权值为6的最优光学正交码","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":"{\"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}","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}
A new class of optimal optical orthogonal codes with weight six
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.
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