{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,15]],"date-time":"2026-06-15T21:04:05Z","timestamp":1781557445030,"version":"3.54.5"},"reference-count":15,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"11","license":[{"start":{"date-parts":[[2016,11,1]],"date-time":"2016-11-01T00:00:00Z","timestamp":1477958400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271005"],"award-info":[{"award-number":["11271005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005234","name":"Excellent Doctorial Dissertation Cultivation Grant from Central China Normal University","doi-asserted-by":"publisher","award":["2016YBZZ082"],"award-info":[{"award-number":["2016YBZZ082"]}],"id":[{"id":"10.13039\/501100005234","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2016,11]]},"DOI":"10.1109\/tit.2016.2602842","type":"journal-article","created":{"date-parts":[[2016,8,25]],"date-time":"2016-08-25T14:22:56Z","timestamp":1472134976000},"page":"6342-6347","source":"Crossref","is-referenced-by-count":22,"title":["Quasi-Cyclic Codes of Index $1\\frac {1}{3}$"],"prefix":"10.1109","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3155-4298","authenticated-orcid":false,"given":"Yun","family":"Fan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hualu","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2005.862123"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2007.907500"},{"key":"ref12","author":"mcdonald","year":"1974","journal-title":"Finite Rings with Identity"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511813603"},{"key":"ref14","first-page":"739","article-title":"Estimate of the number of signals in error correcting codes","volume":"117","author":"varshamov","year":"1957","journal-title":"Dokl Acad Nauk SSSR"},{"key":"ref15","first-page":"201","article-title":"Quasi abelian codes","volume":"21","author":"wasan","year":"1977","journal-title":"Pub Inst Math (Beograd) N S"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480102416192"},{"key":"ref3","first-page":"39","article-title":"New lower bounds for minimum distance of linear quasi-cyclic and almost linear cyclic codes","volume":"28","author":"chepyzhov","year":"1992","journal-title":"Problemy Peredachi Inform"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1016\/S0252-9602(08)60065-X","article-title":"On self-dual permutation codes","volume":"28","author":"fan","year":"2008","journal-title":"Acta Math Scientia"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2368138"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1974.1055262"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511807077"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(69)90497-5"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.876244"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.809501"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7593371\/07552451.pdf?arnumber=7552451","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T11:39:42Z","timestamp":1641987582000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7552451\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11]]},"references-count":15,"journal-issue":{"issue":"11"},"URL":"https:\/\/doi.org\/10.1109\/tit.2016.2602842","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11]]}}}