{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T04:15:58Z","timestamp":1768709758926,"version":"3.49.0"},"reference-count":37,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"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":["U22B2008"],"award-info":[{"award-number":["U22B2008"]}],"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":["62201022"],"award-info":[{"award-number":["62201022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Beijing Municipal Natural Science Foundation","award":["4232007"],"award-info":[{"award-number":["4232007"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Commun."],"published-print":{"date-parts":[[2026]]},"DOI":"10.1109\/tcomm.2025.3626028","type":"journal-article","created":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T17:57:39Z","timestamp":1761587859000},"page":"1319-1335","source":"Crossref","is-referenced-by-count":0,"title":["The Dispersion of Broadcast Channels With Degraded Message Sets Using Spherical Codebooks"],"prefix":"10.1109","volume":"74","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-8331-8974","authenticated-orcid":false,"given":"Zhuangfei","family":"Wu","sequence":"first","affiliation":[{"name":"China Academy of Information and Communications Technology, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5705-0912","authenticated-orcid":false,"given":"Lin","family":"Bai","sequence":"additional","affiliation":[{"name":"School of Cyber Science and Technology, Beihang University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6406-6813","authenticated-orcid":false,"given":"Jinpeng","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Electrical and Electronic Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5173-320X","authenticated-orcid":false,"given":"Lin","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Cyber Science and Technology, Beihang University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3262-0207","authenticated-orcid":false,"given":"Mehul","family":"Motani","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, National University of Singapore, Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/ICCC62479.2024.10681901"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/MCOM.2019.1900271"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2021.3126076"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2043769"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2030478"},{"key":"ref7","first-page":"689","article-title":"Asymptotic estimates in Shannon\u2019s information theory","volume-title":"Proc. 3rd Trans. Prague Conf. Inf. Theory","author":"Strassen"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1561\/0100000086"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1561\/0100000134"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1972.1054727"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1973.1054980"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055184"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2090233"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.924691"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2291231"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ITW.2017.8277977"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/18.532892"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2620161"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2492547"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511807213"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2318726"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3111676"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2025.3570647"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/JSAC.2019.2898755"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2490066"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2875765"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/18.567644"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2886959"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2023.3244232"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2487340"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2018.2831206"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2017.2689763"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TWC.2022.3207474"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282805"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2020.2979849"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2014.2336637"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/18.272493"}],"container-title":["IEEE Transactions on Communications"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/26\/11320979\/11218870.pdf?arnumber=11218870","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T20:50:17Z","timestamp":1768510217000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11218870\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":37,"URL":"https:\/\/doi.org\/10.1109\/tcomm.2025.3626028","relation":{},"ISSN":["0090-6778","1558-0857"],"issn-type":[{"value":"0090-6778","type":"print"},{"value":"1558-0857","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]}}}