{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T18:01:58Z","timestamp":1775066518696,"version":"3.50.1"},"reference-count":39,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"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":["11771392"],"award-info":[{"award-number":["11771392"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS 1600850"],"award-info":[{"award-number":["DMS 1600850"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1109\/tit.2019.2906301","type":"journal-article","created":{"date-parts":[[2019,3,20]],"date-time":"2019-03-20T19:17:14Z","timestamp":1553109434000},"page":"4673-4682","source":"Crossref","is-referenced-by-count":5,"title":["The Shift Bound for Abelian Codes and Generalizations of the Donoho-Stark Uncertainty Principle"],"prefix":"10.1109","volume":"65","author":[{"given":"Tao","family":"Feng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4005-2369","authenticated-orcid":false,"given":"Henk D. L.","family":"Hollmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qing","family":"Xiang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511626265"},{"key":"ref38","first-page":"383","article-title":"The uncertainty principle for Gelfand pairs","volume":"1","author":"wolf","year":"1992","journal-title":"Nova J Algebra and Geometry"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/0150051"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1978.tb02104.x"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/978-88-7642-475-5_62"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1002\/9781118165621"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511626265"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.2005.v12.n1.a11"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1201\/9781420090475"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/BF03027290"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02649110"},{"key":"ref11","author":"frenkel","year":"2003","journal-title":"Simple Proof of Chebotarev's Theorem on Roots of Unity"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5121-8_7"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-05-03927-9"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8638-2"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/BF01375469"},{"key":"ref16","article-title":"Support size conditions for time-frequency representations on finite abelian groups","author":"krahmer","year":"2007"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2007.09.008"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1986.1057134"},{"key":"ref19","author":"macwilliams","year":"1977","journal-title":"The Theory of Error-Correcting Codes"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2003.814492"},{"key":"ref4","author":"blahut","year":"1983","journal-title":"Theory and Practice of Error Control Codes"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1142\/9789812562500_0001"},{"key":"ref3","first-page":"21","article-title":"Semisimple cyclic and Abelian codes. II","volume":"3","author":"berman","year":"1967","journal-title":"Kibernetika"},{"key":"ref6","first-page":"62","article-title":"Abelian codes","author":"camion","year":"1970"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2249655"},{"key":"ref5","first-page":"53","article-title":"Near-factors of finite groups","volume":"29","author":"de caen","year":"1990","journal-title":"Ars Combinatoria"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/0149053"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.0437847100"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01072842"},{"key":"ref9","first-page":"906","article-title":"Codes from n-dimensional polyhedra and n-Dimensional cyclic codes","volume":"49","author":"diaz","year":"1989","journal-title":"SIAM J Appl Math"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1556\/SScMath.2007.1059"},{"key":"ref20","author":"mann","year":"1965","journal-title":"Addition Theorems"},{"key":"ref22","first-page":"155","article-title":"The Donoho-Stark uncertainty principle for a finite Abelian group","volume":"73","author":"matusiak","year":"2004","journal-title":"Acta Math Univ Comenianae"},{"key":"ref21","first-page":"841","volume":"277","author":"matolcsi","year":"1973","journal-title":"Intersection des mesures spectrales conjug&#x00E9;es"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0195-6698(05)80019-8"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejc.2004.07.009"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfa.2003.11.008"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(03)00293-0"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielaam\/18\/8760492\/8672108-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/8760492\/08672108.pdf?arnumber=8672108","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T20:57:00Z","timestamp":1657745820000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8672108\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,8]]},"references-count":39,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2019.2906301","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,8]]}}}