{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T02:42:19Z","timestamp":1780972939585,"version":"3.54.1"},"reference-count":77,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2012,2,1]],"date-time":"2012-02-01T00:00:00Z","timestamp":1328054400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2012,2]]},"DOI":"10.1109\/tit.2011.2169299","type":"journal-article","created":{"date-parts":[[2012,2,7]],"date-time":"2012-02-07T21:19:58Z","timestamp":1328649598000},"page":"1163-1185","source":"Crossref","is-referenced-by-count":33,"title":["Large Families of Asymptotically Optimal Two-Dimensional Optical Orthogonal Codes"],"prefix":"10.1109","volume":"58","author":[{"given":"Reza","family":"Omrani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gagan","family":"Garg","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P. Vijay","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Petros","family":"Elia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pankaj","family":"Bhambhani","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1063\/1.2165286"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1109\/LEOSST.2004.1338755"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(85)90049-4"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.842636"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511618383"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1109\/18.42198"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/PROC.1970.7926"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2005.856290"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2004.836752"},{"key":"ref38","first-page":"1750","article-title":"Doubling the number of active users in a 2-D <formula formulatype=\"inline\"><tex Notation=\"TeX\">$t-\\lambda$<\/tex> <\/formula> O-CDMA network using a hard limiting receiver","volume":"3","author":"saghari","year":"2005","journal-title":"Proc Quantum Electronics and Laser Science Conf (QELS '05)"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2004.831347"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2006.871017"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2002.806504"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/50.50743"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2004.839974"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/50.664055"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2004.840661"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/26.649764"},{"key":"ref60","author":"sarwate","year":"1994","journal-title":"ReedSolomon Codes and Their Applications"},{"key":"ref62","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1109\/50.838124","article-title":"A new family of space\/wavelength\/time spread three-dimensional optical code for OCDMA networks","volume":"18","author":"kim","year":"2000","journal-title":"IEEE J Lightw Technol"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1109\/26.864158"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.2307\/1990067"},{"key":"ref28","author":"willner","year":"0","journal-title":"Secure communication over LANs using optical CDMA technology A unified novel architecture\/coding\/system\/device approach"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2005.856302"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/11863854_4"},{"key":"ref65","first-page":"3","article-title":"3D time-wavelength-polarization OCDMA coding for increasing the number of users in OCDMA LANs","volume":"2","author":"mcgeehan","year":"2004","journal-title":"Proc Optical Fiber Commun Conf"},{"key":"ref66","author":"niven","year":"2008","journal-title":"An Introduction to the Theory of Numbers"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1364\/OL.13.000300"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"2397","DOI":"10.1109\/18.796380","article-title":"Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes","volume":"45","author":"davis","year":"1999","journal-title":"IEEE Trans Inf Theory"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1109\/18.868473"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-0673-9_4"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/50.545782"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/26.31181"},{"key":"ref20","first-page":"346","article-title":"Optimal <formula formulatype=\"inline\"><tex Notation=\"TeX\">$(4up,5,1)$<\/tex><\/formula> optical orthogonal codes","volume":"12","author":"chang","year":"2004","journal-title":"COMBINATORICA"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(03)00264-4"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2004.01.003"},{"key":"ref24","first-page":"333","article-title":"Recursive constructions for optimal <formula formulatype=\"inline\"><tex Notation=\"TeX\">$(n,4,2)$<\/tex> <\/formula>-OOCS","volume":"12","author":"chu","year":"2004","journal-title":"COMBINATORICA"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/S0012-365X(03)00266-8","article-title":"Optimal <formula formulatype=\"inline\"> <tex Notation=\"TeX\">$(n,4,2)$<\/tex><\/formula>-OOC of small orders","volume":"279","author":"chu","year":"2004","journal-title":"Discrete Math"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.894658"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2003.09.004"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2005.851761"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2005.855860"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/18.2616"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"1241","DOI":"10.1002\/j.1538-7305.1980.tb03359.x","article-title":"Address assignment for a time-frequency-coded, spread-spectrum system","volume":"59","author":"einarsson","year":"1980","journal-title":"Bell Syst Tech J"},{"key":"ref57","author":"simon","year":"2002","journal-title":"Spread Spectrum Communications Handbook"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055169"},{"key":"ref55","first-page":"367","article-title":"Multiple-wavelength optical orthogonal codes under prime-sequence permutations","author":"yang","year":"2004","journal-title":"Proc IEEE Int Symp Inf Theory"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1049\/iet-com:20050686"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.micpro.2006.12.007"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2005.864002"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(97)00172-6"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/68.163765"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"2396","DOI":"10.1109\/18.887852","article-title":"Optical orthogonal codes: Their bounds and new optimal constructions","volume":"46","author":"fuji-hara","year":"2000","journal-title":"IEEE Trans Inf Theory"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"2998","DOI":"10.1109\/18.959278","article-title":"Constructions for optimal <formula formulatype=\"inline\"> <tex Notation=\"TeX\">$(v,4,1)$<\/tex><\/formula> optical orthogonal codes","volume":"47","author":"ge","year":"2001","journal-title":"IEEE Trans Inf Theory"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480100377234"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"1268","DOI":"10.1360\/02ys9137","article-title":"The combinatorial construction for a class of optimal optical orthogonal codes","volume":"45","author":"tang","year":"2002","journal-title":"Sci China (Series A)"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016505309092"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"3072","DOI":"10.1109\/TIT.2003.818387","article-title":"A new recursive construction for optical orthogonal codes","volume":"49","author":"chu","year":"2003","journal-title":"IEEE Trans Inf Theory"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(02)00439-0"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.810628"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(02)00464-8"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/18.53748"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/18.30982"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/18.370146"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/18.135636"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/18.370115"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1049\/el:19990582"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/18.370117"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01388501"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/68.998735"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/50.908693"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s11107-008-0117-2"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2003.819127"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/68.502276"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/49.286683"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/50.749379"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/26.486611"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/18\/6145469\/06145476.pdf?arnumber=6145476","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,19]],"date-time":"2024-04-19T04:34:12Z","timestamp":1713501252000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6145476\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2]]},"references-count":77,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tit.2011.2169299","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2]]}}}