{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T09:54:33Z","timestamp":1740131673931,"version":"3.37.3"},"reference-count":30,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"10","license":[{"start":{"date-parts":[[2014,10,1]],"date-time":"2014-10-01T00:00:00Z","timestamp":1412121600000},"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":[[2014,10]]},"DOI":"10.1109\/tit.2014.2346210","type":"journal-article","created":{"date-parts":[[2014,8,7]],"date-time":"2014-08-07T14:41:15Z","timestamp":1407422475000},"page":"5809-5826","source":"Crossref","is-referenced-by-count":2,"title":["Codes on Graphs: Fundamentals"],"prefix":"10.1109","volume":"60","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1711-5974","authenticated-orcid":false,"given":"G. David","family":"Forney","sequence":"first","affiliation":[]}],"member":"263","reference":[{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/MCS.2007.906923"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2217312"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/18.259635"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.838340"},{"key":"ref13","article-title":"Partition functions of normal factor graphs","author":"forney","year":"2011","journal-title":"Proc Inf Theory Appl Workshop"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2267612"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2094850"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2161572"},{"journal-title":"The Theory of Groups","year":"1959","author":"hall","key":"ref17"},{"key":"ref18","first-page":"425","article-title":"On the representation of codes in Forney graphs","author":"koetter","year":"2002","journal-title":"Codes Graphs and Systems A Celebration of the Life and Career of G David Forney Jr"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.815769"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1002\/ett.4460060507"},{"key":"ref4","article-title":"On the algebraic structure of linear trellises","author":"conti","year":"0","journal-title":"IEEE Trans Inf Theory"},{"article-title":"Codes and decoding on general graphs","year":"1996","author":"wiberg","key":"ref27"},{"key":"ref3","first-page":"35","article-title":"The evolution of sparse graphs","author":"bollob\u00e1s","year":"1984","journal-title":"Graph Theory and Combinatorics"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.813558"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-322-96657-5_5"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/18.910573"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2104994"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2094811"},{"journal-title":"The Theory of Graphs","year":"1962","author":"berge","key":"ref2"},{"key":"ref9","article-title":"Codes on graphs: Past, present and future","author":"forney","year":"2012","journal-title":"Proc 50th Annu Allerton Conf Commun Control Comput"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2094870"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/18.910572"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.846404"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2004.1267047"},{"key":"ref24","first-page":"177","article-title":"A truly behavioral approach to the \\({H_\\infty }\\) control problem","author":"trentelman","year":"1999","journal-title":"The Mathematics of Systems and Control From Intelligent Control to Behavioral Systems"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1981.1056404"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1007\/978-0-387-21696-6_16","article-title":"On factor graphs and electrical networks","author":"vontobel","year":"2003","journal-title":"Mathematical Systems Theory in Biology Communication Computation and Finance"},{"key":"ref25","article-title":"Trellis structure of codes","author":"vardy","year":"1999","journal-title":"Handbook of Coding Theory"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/6895347\/06873277.pdf?arnumber=6873277","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:51:19Z","timestamp":1641988279000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/6873277\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10]]},"references-count":30,"journal-issue":{"issue":"10"},"URL":"https:\/\/doi.org\/10.1109\/tit.2014.2346210","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2014,10]]}}}