{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T08:00:06Z","timestamp":1781164806486,"version":"3.54.1"},"reference-count":30,"publisher":"Elsevier BV","issue":"11","license":[{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,11,1]],"date-time":"2026-11-01T00:00:00Z","timestamp":1793491200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/100007834","name":"Ningbo Municipal Natural Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100007834","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[2026,11]]},"DOI":"10.1016\/j.disc.2026.115256","type":"journal-article","created":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T13:38:47Z","timestamp":1780925927000},"page":"115256","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["Perfect three-dimensional optical orthogonal codes with the AM-OPPS\/TP property"],"prefix":"10.1016","volume":"349","author":[{"given":"Jiaqi","family":"Fan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2858-539X","authenticated-orcid":false,"given":"Zenghui","family":"Fang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.disc.2026.115256_br0010","doi-asserted-by":"crossref","first-page":"940","DOI":"10.1109\/18.135636","article-title":"Constructions of binary constant-weight cyclic codes and cyclically permutable codes","volume":"38","author":"A","year":"1992","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0020","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/j.jcta.2004.01.003","article-title":"Some progress on (v,4,1) difference families and optical orthogonal codes","volume":"106","author":"Abel","year":"2004","journal-title":"J. Comb. Theory, Ser. A"},{"key":"10.1016\/j.disc.2026.115256_br0030","series-title":"CRC Handbook of Combinatorial Designs","first-page":"247","article-title":"PBD-closure","author":"Abel","year":"2007"},{"key":"10.1016\/j.disc.2026.115256_br0040","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1109\/18.370117","article-title":"Constructions for optimal constant weight cyclically permutable codes and difference families","volume":"41","author":"Bitan","year":"1995","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0080","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0012-365X(77)90037-1","article-title":"Group divisible design with block size 4","volume":"20","author":"Brouwer","year":"1977","journal-title":"Discrete Math."},{"key":"10.1016\/j.disc.2026.115256_br0050","first-page":"1","article-title":"New Results on Modular Golomb Rulers, Optical Orthogonal Codes and Related Structures","volume":"vol. 20","author":"Buratti","year":"2021"},{"key":"10.1016\/j.disc.2026.115256_br0090","doi-asserted-by":"crossref","first-page":"595","DOI":"10.1109\/18.30982","article-title":"Optical orthogonal codes: design, analysis, and applications","volume":"35","author":"Chung","year":"1989","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0110","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/0097-3165(92)90099-G","article-title":"A new class of group divisible designs with block size three","volume":"59","author":"Colbourn","year":"1992","journal-title":"J. Comb. Theory, Ser. A"},{"key":"10.1016\/j.disc.2026.115256_br0100","first-page":"95","article-title":"On cyclic block designs","volume":"2","author":"Colbourn","year":"1980","journal-title":"Math. Rep. Can. Acad. Sci."},{"key":"10.1016\/j.disc.2026.115256_br0130","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/s10623-012-9733-z","article-title":"Combinatorial constructions for optimal 2-D optical orthogonal codes with AM-OPPTS property","volume":"71","author":"Dai","year":"2014","journal-title":"Des. Codes Cryptogr."},{"key":"10.1016\/j.disc.2026.115256_br0120","doi-asserted-by":"crossref","first-page":"1738","DOI":"10.1016\/j.disc.2016.09.015","article-title":"w-cyclic holey group divisible designs and their application to three-dimensional optical orthogonal codes","volume":"340","author":"Dai","year":"2017","journal-title":"Discrete Math."},{"key":"10.1016\/j.disc.2026.115256_br0140","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1002\/jcd.21797","article-title":"Maximum w-cyclic holey group divisible packingswith block size three and applications to optical orthogonal codes","volume":"29","author":"Fang","year":"2021","journal-title":"J. Comb. Des."},{"key":"10.1016\/j.disc.2026.115256_br0150","doi-asserted-by":"crossref","DOI":"10.1016\/j.disc.2021.112754","article-title":"Maximum w-cyclic holey group divisible packings and their application to three-dimensional optical orthogonal codes","volume":"345","author":"Fang","year":"2022","journal-title":"Discrete Math."},{"key":"10.1016\/j.disc.2026.115256_br0160","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1007\/s10623-013-9859-7","article-title":"Semi-cyclic holey group divisible designs with block size three","volume":"74","author":"Feng","year":"2015","journal-title":"Des. Codes Cryptogr."},{"key":"10.1016\/j.disc.2026.115256_br0170","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1002\/jcd.21417","article-title":"Semi-cyclic holey group divisible designs and applications to sampling designs and optical orthogonal codes","volume":"24","author":"Feng","year":"2016","journal-title":"J. Comb. Des."},{"key":"10.1016\/j.disc.2026.115256_br0180","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":"J. Lightwave Technol."},{"key":"10.1016\/j.disc.2026.115256_br0190","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1002\/jcd.20022","article-title":"Constructions of optimal optical orthogonal codes with weight five","volume":"13","author":"Ma","year":"2005","journal-title":"J. Comb. Des."},{"key":"10.1016\/j.disc.2026.115256_br0200","doi-asserted-by":"crossref","first-page":"1163","DOI":"10.1109\/TIT.2011.2169299","article-title":"Large families if asymptotically optimal two-dimensional optical orthogonal codes","volume":"58","author":"Omrani","year":"2012","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0220","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s10623-013-9894-4","article-title":"Optimal three-dimensional optical orthogonal codes of weight three","volume":"75","author":"Shum","year":"2015","journal-title":"Des. Codes Cryptogr."},{"key":"10.1016\/j.disc.2026.115256_br0210","series-title":"Neural Information Processing Systems-Natural and Synthetic","first-page":"814","article-title":"Neuromorphic networks based on sparse optical orthogonal codes","author":"Vecchi","year":"1988"},{"key":"10.1016\/j.disc.2026.115256_br0260","doi-asserted-by":"crossref","first-page":"2177","DOI":"10.1109\/TIT.2010.2043772","article-title":"Two-dimensional optical orthogonal codes and semicyclic group divisible designs","volume":"56","author":"Wang","year":"2010","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0240","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1109\/TIT.2014.2368133","article-title":"Combinatorial construction of optimal three-dimensional optical orthogonal codes","volume":"61","author":"Wang","year":"2015","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0250","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1002\/jcd.21550","article-title":"Determination of sizes of optimal three-dimensional optical orthogonal codes of weight three with the AM-OPP restriction","volume":"25","author":"Wang","year":"2017","journal-title":"J. Comb. Des."},{"key":"10.1016\/j.disc.2026.115256_br0230","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1002\/jcd.21680","article-title":"The spectrum of semi-cyclic holey group divisible designs with block size three","volume":"28","author":"Wang","year":"2020","journal-title":"J. Comb. Des."},{"key":"10.1016\/j.disc.2026.115256_br0270","first-page":"315","article-title":"Group divisible designs with equal-sized holes","volume":"35","author":"Wei","year":"1993","journal-title":"Ars Comb."},{"key":"10.1016\/j.disc.2026.115256_br0280","first-page":"18","article-title":"Constructions and uses of pairwise balanced designs","volume":"55","author":"Wilson","year":"1974","journal-title":"Math. Centre Tracts"},{"key":"10.1016\/j.disc.2026.115256_br0290","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1109\/26.649764","article-title":"Performance comparison of multiwavelength CDMA and WDMA+CDMA for fiber-optic networks","volume":"45","author":"Yang","year":"1997","journal-title":"IEEE Trans. Commun."},{"key":"10.1016\/j.disc.2026.115256_br0300","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1006\/jcta.2001.3215","article-title":"A general construction for optimal cyclic packing designs","volume":"97","author":"Yin","year":"2002","journal-title":"J. Comb. Theory, Ser. A"},{"issue":"12","key":"10.1016\/j.disc.2026.115256_br0070","doi-asserted-by":"crossref","first-page":"8746","DOI":"10.1109\/TIT.2024.3457802","article-title":"The existence of optimal (v,4,1) optical orthogonal codes achieving the Johnson bound","volume":"70","author":"Zhao","year":"2024","journal-title":"IEEE Trans. Inf. Theory"},{"key":"10.1016\/j.disc.2026.115256_br0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcta.2024.105890","article-title":"Cyclic relative difference families with block size four and their applications","volume":"206","author":"Zhao","year":"2024","journal-title":"J. Comb. Theory, Ser. A"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X26002803?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X26002803?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T07:30:57Z","timestamp":1781163057000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X26002803"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,11]]},"references-count":30,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2026,11]]}},"alternative-id":["S0012365X26002803"],"URL":"https:\/\/doi.org\/10.1016\/j.disc.2026.115256","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[2026,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Perfect three-dimensional optical orthogonal codes with the AM-OPPS\/TP property","name":"articletitle","label":"Article Title"},{"value":"Discrete Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.disc.2026.115256","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"115256"}}