{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T23:21:24Z","timestamp":1762298484323,"version":"3.37.3"},"reference-count":37,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CNS-0932428","CCF-1018927","CCF-1423663","CCF-1409204"],"award-info":[{"award-number":["CNS-0932428","CCF-1018927","CCF-1423663","CCF-1409204"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100005144","name":"Qualcomm Inc.","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100005144","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006196","name":"NASA\u2019s Jet Propulsion Laboratory through the President and Director\u2019s Fund","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006196","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004054","name":"King Abdulaziz University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004054","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004052","name":"King Abdullah University of Science and Technology","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004052","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1109\/tit.2016.2627530","type":"journal-article","created":{"date-parts":[[2016,11,10]],"date-time":"2016-11-10T20:03:26Z","timestamp":1478808206000},"page":"183-200","source":"Crossref","is-referenced-by-count":6,"title":["On Ingleton-Violating Finite Groups"],"prefix":"10.1109","volume":"63","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6345-2667","authenticated-orcid":false,"given":"Wei","family":"Mao","sequence":"first","affiliation":[]},{"given":"Matthew","family":"Thill","sequence":"additional","affiliation":[]},{"given":"Babak","family":"Hassibi","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511665585"},{"article-title":"Information-theoretic studies and capacity bounds: Group network codes and energy harvesting communication systems","year":"2015","author":"mao","key":"ref32"},{"key":"ref31","volume":"15","author":"johnson","year":"1990","journal-title":"Presentations of Groups"},{"journal-title":"Abstract Algebra","year":"2004","author":"dummit","key":"ref30"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557514"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/ITA.2007.4357564"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2005.1523694"},{"journal-title":"Finite Group Theory","year":"1986","author":"aschbacher","key":"ref34"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.4310\/CIS.2001.v1.n3.a1"},{"key":"ref11","first-page":"149","article-title":"Representation of matroids","author":"ingleton","year":"1971","journal-title":"Combinatorial Mathematics and its Applications"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1006\/jcss.1999.1677"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548399003740"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2009.10.014"},{"article-title":"Linear rank inequalities on five or more variables","year":"2010","author":"dougherty","key":"ref15"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875348"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6874803"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2165133"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557275"},{"journal-title":"GAP&#x2014;Groups Algorithms and Programming Version 4 4 12","year":"2008","key":"ref28"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.851744"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton.2013.6736607"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2002.1013138"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557213"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1215\/ijm\/1258488174","article-title":"Partitions and other coverings of finite groups","volume":"47","author":"zappa","year":"2003","journal-title":"Illinois J Math"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/18.641561"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.896862"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/ITWITWN.2007.4318051"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2010.5513749"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1109\/ALLERTON.2008.4797553","article-title":"Cayley&#x2019;s hyperdeterminant, the principal minors of a symmetric matrix and the entropy region of 4 Gaussian random variables","author":"shadbakht","year":"2008","journal-title":"Proc 46th Annu Allerton Conf Commun Control Comput"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ALLERTON.2009.5394878"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/Allerton.2012.6483410"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"6007","DOI":"10.1109\/TIT.2016.2601598","article-title":"Entropy region and convolution","volume":"62","author":"mat\u00fa\u0161","year":"2016","journal-title":"IEEE Trans Inf Theory"},{"article-title":"Non-Shannon information inequalities in four random variables","year":"2011","author":"dougherty","key":"ref21"},{"article-title":"Entropy region and network information theory","year":"2011","author":"shadbakht","key":"ref24"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2010.5513737"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2321561"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/18.681320"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/ieeexplore.ieee.org\/ielaam\/18\/7792231\/7740922-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7792231\/07740922.pdf?arnumber=7740922","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T18:55:21Z","timestamp":1649444121000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7740922\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":37,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2016.2627530","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}