{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,26]],"date-time":"2025-08-26T00:16:44Z","timestamp":1756167404086,"version":"3.44.0"},"reference-count":56,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"9","license":[{"start":{"date-parts":[[2025,9,1]],"date-time":"2025-09-01T00:00:00Z","timestamp":1756684800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,9,1]],"date-time":"2025-09-01T00:00:00Z","timestamp":1756684800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,9,1]],"date-time":"2025-09-01T00:00:00Z","timestamp":1756684800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2024M751606"],"award-info":[{"award-number":["2024M751606"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Postdoctoral Fellowship Program of China Postdoctoral Science Foundation","award":["GZC20252012"],"award-info":[{"award-number":["GZC20252012"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62171248","12071001"],"award-info":[{"award-number":["62171248","12071001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Peng Cheng National Laboratory Key Project","award":["PCL2021A07"],"award-info":[{"award-number":["PCL2021A07"]}]},{"DOI":"10.13039\/501100021171","name":"Basic and Applied Basic Research Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2021A1515110066"],"award-info":[{"award-number":["2021A1515110066"]}],"id":[{"id":"10.13039\/501100021171","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004787","name":"Research Council of Norway","doi-asserted-by":"publisher","award":["247742\/O70"],"award-info":[{"award-number":["247742\/O70"]}],"id":[{"id":"10.13039\/501100004787","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2025,9]]},"DOI":"10.1109\/tit.2025.3590510","type":"journal-article","created":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T18:03:38Z","timestamp":1753207418000},"page":"6727-6742","source":"Crossref","is-referenced-by-count":0,"title":["The <i>b<\/i>-Symbol Hamming Weight Spectra of Quaternary Kerdock Codes and Related Codes"],"prefix":"10.1109","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1282-7094","authenticated-orcid":false,"given":"Hongwei","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong, China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-8005-9501","authenticated-orcid":false,"given":"Xiaoxiao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematical Science, Peking University, Beijing, China"}]},{"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"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8639-982X","authenticated-orcid":false,"given":"Shu-Tao","family":"Xia","sequence":"additional","affiliation":[{"name":"Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen, China"}]},{"given":"Tor","family":"Helleseth","sequence":"additional","affiliation":[{"name":"Department of Informatics, University of Bergen, Bergen, Norway"}]}],"member":"263","reference":[{"key":"ref1","first-page":"306","article-title":"Generalized Hamming weights for ZGeneralized Hamming weights for Z4-linear codes","volume-title":"Proc. IEEE Int. Symp. Inf. Theory","author":"Ashikhmin"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(72)90354-3"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/18.135649"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01388407"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.3015683"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/18.681328"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2164891"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2753250"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-2174-1"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(75)90090-4"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2726691"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2019.2941885"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2017.10.002"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2012.11.009"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1049\/el:19740375"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(76)90384-3"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/18.312154"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/BF00129768"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/18.476333"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2481889"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/LCOMM.2018.2791422"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2024.3466523"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(72)90376-2"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-218X(00)00348-6"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/18.904499"},{"issue":"3","key":"ref27","first-page":"417","article-title":"Reconstruction of objects from a minimum number of distorted patterns","volume":"55","author":"Levenshtein","year":"1997","journal-title":"Doklady Math."},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1006\/jcta.2000.3081"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-023-01184-x"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-016-0271-y"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/0097-3165(88)90045-3"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00967-4"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-022-01081-9"},{"volume-title":"Finite Rings With Identity","year":"1974","author":"MacDonald","key":"ref34"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-022-00599-y"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1515\/dma.1991.1.4.365"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(67)90835-2"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(68)90874-7"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2024.3482726"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1979.1056063"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3069772"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2023.3239543"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-017-0249-2"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/bfb0019857"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1137\/S0895480101397219"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2023.102203"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-3810-9"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-023-01193-w"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2522434"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1007\/BF01787706"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1109\/18.532905"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/18.641549"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1109\/18.651055"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-022-01030-6"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2023.113774"},{"key":"ref56","article-title":"The b-symbol weight distribution of irreducible cyclic codes and related consequences","author":"Zhu","year":"2022","journal-title":"arXiv:2203.11567"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/18\/11134633\/11090027.pdf?arnumber=11090027","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T20:44:47Z","timestamp":1756154687000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11090027\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9]]},"references-count":56,"journal-issue":{"issue":"9"},"URL":"https:\/\/doi.org\/10.1109\/tit.2025.3590510","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2025,9]]}}}