{"title":"光正交码、循环置换码和超光正交码","authors":"S. Martirosyan, A. Vinck, A. Harutyunyan","doi":"10.1109/ISIT.2007.4557579","DOIUrl":null,"url":null,"abstract":"Optical orthogonal codes (OOC) are special classes of codes for applications in code division multi-access (CDMA) transmission using an optical carrier. We show a new relationship between constant weight cyclically permutable codes (CPC) and OOC's which can be investigated further. The main result ties together the CPC's and the solution of an algebraic system of congruences. For a particular case, there is a recurrence relationship for the code cardinality. More general cases need to be elaborated in coming research. We discuss also so-called super OOC's, which are codes with stronger correlation properties, and show several examples of such codes derivable from CPC's designed by applying the method proposed.","PeriodicalId":193467,"journal":{"name":"2007 IEEE International Symposium on Information Theory","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Optical Orthogonal, Cyclically Permutable, and Super Optical Orthogonal Codes\",\"authors\":\"S. Martirosyan, A. Vinck, A. Harutyunyan\",\"doi\":\"10.1109/ISIT.2007.4557579\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Optical orthogonal codes (OOC) are special classes of codes for applications in code division multi-access (CDMA) transmission using an optical carrier. We show a new relationship between constant weight cyclically permutable codes (CPC) and OOC's which can be investigated further. The main result ties together the CPC's and the solution of an algebraic system of congruences. For a particular case, there is a recurrence relationship for the code cardinality. More general cases need to be elaborated in coming research. We discuss also so-called super OOC's, which are codes with stronger correlation properties, and show several examples of such codes derivable from CPC's designed by applying the method proposed.\",\"PeriodicalId\":193467,\"journal\":{\"name\":\"2007 IEEE International Symposium on Information Theory\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2007.4557579\",\"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 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2007.4557579","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Optical Orthogonal, Cyclically Permutable, and Super Optical Orthogonal Codes
Optical orthogonal codes (OOC) are special classes of codes for applications in code division multi-access (CDMA) transmission using an optical carrier. We show a new relationship between constant weight cyclically permutable codes (CPC) and OOC's which can be investigated further. The main result ties together the CPC's and the solution of an algebraic system of congruences. For a particular case, there is a recurrence relationship for the code cardinality. More general cases need to be elaborated in coming research. We discuss also so-called super OOC's, which are codes with stronger correlation properties, and show several examples of such codes derivable from CPC's designed by applying the method proposed.
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