{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T14:50:51Z","timestamp":1776955851501,"version":"3.51.4"},"reference-count":30,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61971321"],"award-info":[{"award-number":["61971321"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62061004"],"award-info":[{"award-number":["62061004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"publisher","award":["2021YFA1000500"],"award-info":[{"award-number":["2021YFA1000500"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2025,4]]},"DOI":"10.1109\/tit.2024.3355942","type":"journal-article","created":{"date-parts":[[2024,1,23]],"date-time":"2024-01-23T20:46:34Z","timestamp":1706042794000},"page":"3237-3249","source":"Crossref","is-referenced-by-count":5,"title":["Matroidal Entropy Functions: Constructions, Characterizations, and Representations"],"prefix":"10.1109","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5322-4783","authenticated-orcid":false,"given":"Qi","family":"Chen","sequence":"first","affiliation":[{"name":"School of Telecommunications Engineering, Xidian University, Xi&#x2019;an, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0360-0610","authenticated-orcid":false,"given":"Minquan","family":"Cheng","sequence":"additional","affiliation":[{"name":"Key Laboratory of Education Blockchain and Intelligent Technology, Ministry of Education, and the Guangxi Key Laboratory of Multi-Source Information Mining &#x0026; Security, Guangxi Normal University, Guilin, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6161-5493","authenticated-orcid":false,"given":"Baoming","family":"Bai","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Integrated Service Networks and the School of Telecommunications Engineering, Xidian University, Xi&#x2019;an, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT50566.2022.9834453"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(78)91063-X"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/18.681320"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2001.936094"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.4310\/CIS.2002.v2.n2.a3"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.4310\/CIS.2003.v3.n1.a4"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2006.261840"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557201"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.3390\/e23030323"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(99)00004-7"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198566946.001.0001"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008244215660"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/BF00196772"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.896862"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.834751"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2473863"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2090227"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2555955"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2019.2910266"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2048502"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2598149"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1478-6"},{"key":"ref23","volume-title":"Matrices Over Commutative Rings","author":"Brown","year":"1993"},{"key":"ref24","article-title":"Total number of Latin cubes of order N","author":"Sloane","year":"2004","journal-title":"The On-Line Encyclopedia of Integer Sequences"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-79234-7"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1978-0491269-9"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT54713.2023.10206814"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/isit54713.2023.10206814"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2009.06.002"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2007.08.096"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/10935829\/10413313.pdf?arnumber=10413313","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T02:29:53Z","timestamp":1743042593000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10413313\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4]]},"references-count":30,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tit.2024.3355942","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,4]]}}}