{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T15:15:41Z","timestamp":1784301341678,"version":"3.55.0"},"reference-count":53,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"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":["12471490"],"award-info":[{"award-number":["12471490"]}],"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":["12201170"],"award-info":[{"award-number":["12201170"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"Nanyang Technological University Research","doi-asserted-by":"publisher","award":["04INS000047C230GRT01"],"award-info":[{"award-number":["04INS000047C230GRT01"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2025,1]]},"DOI":"10.1109\/tit.2024.3425058","type":"journal-article","created":{"date-parts":[[2024,7,8]],"date-time":"2024-07-08T17:28:58Z","timestamp":1720459738000},"page":"273-286","source":"Crossref","is-referenced-by-count":6,"title":["A Mass Formula for Linear Codes With Prescribed Hull Dimension and Related Classification"],"prefix":"10.1109","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9716-6212","authenticated-orcid":false,"given":"Shitao","family":"Li","sequence":"first","affiliation":[{"name":"Key Laboratory of Intelligent Computing Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University, Hefei, Anhui, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4990-6271","authenticated-orcid":false,"given":"Minjia","family":"Shi","sequence":"additional","affiliation":[{"name":"Key Laboratory of Intelligent Computing Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University, Hefei, Anhui, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1978-3557","authenticated-orcid":false,"given":"San","family":"Ling","sequence":"additional","affiliation":[{"name":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore, Singapore"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2024.3373550"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2018.09.034"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-019-00402-5"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-020-00834-8"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2021.101925"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(90)90003-Z"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2003.09.003"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/18.761269"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1023\/A:1016544907275"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"ref11","first-page":"33","article-title":"Classification of optimal binary self-orthogonal codes","volume":"59","author":"Bouyukliev","year":"2006","journal-title":"J. Combinat. Math. Combinat. Comput."},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480104441085"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00929-w"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2016.10.131"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2829873"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2789347"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.54.1098"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(80)90057-6"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1504\/IJICOT.2017.083827"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1142\/S0129054119500242"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-017-0258-1"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/039"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-017-0330-z"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00916-1"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2009.02.001"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-018-0319-0"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.899542"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2021070"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2644660"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-023-02268-z"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3186316"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3066599"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-021-01598-7"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80103-4"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2023.3298379"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-024-00699-x"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2023.102267"},{"key":"ref38","volume":"20","author":"Lidl","year":"1983","journal-title":"Finite Fields, Encyclopedia of Mathematics and Its Applications"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2019.05.005"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(92)90563-U"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(72)90034-9"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(68)80067-5"},{"key":"ref43","first-page":"418","article-title":"The number of isotropic subspace in a finite geometry","volume":"39","author":"Pless","year":"1965","journal-title":"Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/18.850662"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480195294027"},{"key":"ref46","article-title":"Self-dual codes","volume-title":"Handbook of Coding Theory","author":"Rains","year":"1998"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2004.05.005"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2001.935876"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1142\/11628"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2024.3436923"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2023.3250718"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-022-01785-0"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.793"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/18\/10816277\/10589487.pdf?arnumber=10589487","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T19:08:17Z","timestamp":1735240097000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10589487\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1]]},"references-count":53,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2024.3425058","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1]]}}}