{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T02:46:21Z","timestamp":1758595581235,"version":"3.44.0"},"reference-count":32,"publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"0","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AMC"],"published-print":{"date-parts":[[2026]]},"DOI":"10.3934\/amc.2025031","type":"journal-article","created":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:34:56Z","timestamp":1751430896000},"page":"93-112","source":"Crossref","is-referenced-by-count":0,"title":["An infinite family of AMDS codes holding 2-designs"],"prefix":"10.3934","volume":"20","author":[{"given":"Guangkui","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Heqian","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Hefei Normal University, Hefei 230601, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/amc.2025031-1","doi-asserted-by":"publisher","DOI":"10.1016\/S0021-9800(69)80115-8"},{"key":"key-10.3934\/amc.2025031-2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00124590"},{"key":"key-10.3934\/amc.2025031-3","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-017-0352-6"},{"key":"key-10.3934\/amc.2025031-4","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2017.05.013"},{"key":"key-10.3934\/amc.2025031-5","doi-asserted-by":"crossref","unstructured":"<p>C. Ding and C. Tang, <i>Designs from Linear Codes<\/i>, 2$^{nd}$ edition, World Scientific, Singapore, 2022.<\/p>","DOI":"10.1142\/12697"},{"key":"key-10.3934\/amc.2025031-6","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-020-00442-2"},{"key":"key-10.3934\/amc.2025031-7","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.2990396"},{"key":"key-10.3934\/amc.2025031-8","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00888-2"},{"key":"key-10.3934\/amc.2025031-9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01222850"},{"key":"key-10.3934\/amc.2025031-10","doi-asserted-by":"publisher","DOI":"10.1002\/jcd.21682"},{"key":"key-10.3934\/amc.2025031-11","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-020-00438-8"},{"key":"key-10.3934\/amc.2025031-12","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2020106"},{"key":"key-10.3934\/amc.2025031-13","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1929-1501494-2"},{"key":"key-10.3934\/amc.2025031-14","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2023.102208"},{"key":"key-10.3934\/amc.2025031-15","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2023.113538"},{"key":"key-10.3934\/amc.2025031-16"},{"key":"key-10.3934\/amc.2025031-17","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2880913"},{"key":"key-10.3934\/amc.2025031-18","doi-asserted-by":"publisher","DOI":"10.46586\/tosc.v2017.i1.129-155"},{"key":"key-10.3934\/amc.2025031-19","unstructured":"<p>R. Lidl and H. Niederreiter, <i>Finite Fields<\/i>, 2<sup><i>nd<\/i><\/sup> edition, Encyclopedia of Mathematics and its Applications, 20, Cambridge University Press, Cambridge, 1997.<\/p>"},{"key":"key-10.3934\/amc.2025031-20","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3139687"},{"key":"key-10.3934\/amc.2025031-21","unstructured":"<p>T. Muir and W. H. Metzler, <i>A Treatise on the Theory of Determinants<\/i>, Courier Corporation, New York, 2003.<\/p>"},{"key":"key-10.3934\/amc.2025031-22","doi-asserted-by":"publisher","DOI":"10.1002\/jcd.21685"},{"key":"key-10.3934\/amc.2025031-23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.3032600"},{"key":"key-10.3934\/amc.2025031-24","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2019.2959764"},{"key":"key-10.3934\/amc.2025031-25","doi-asserted-by":"crossref","unstructured":"<p>Q. Wang and Z. Heng, Near MDS codes from oval polynomials, <i>Discrete Math.<\/i>, <b>344<\/b> (2021), Paper No. 112277.<\/p>","DOI":"10.1016\/j.disc.2020.112277"},{"key":"key-10.3934\/amc.2025031-26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3222474"},{"key":"key-10.3934\/amc.2025031-27","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-021-00546-3"},{"key":"key-10.3934\/amc.2025031-28","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-019-00696-9"},{"key":"key-10.3934\/amc.2025031-29","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-022-01032-4"},{"key":"key-10.3934\/amc.2025031-30","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-024-01508-5"},{"key":"key-10.3934\/amc.2025031-31","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3157199"},{"key":"key-10.3934\/amc.2025031-32","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3156072"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"deposited":{"date-parts":[[2025,9,22]],"date-time":"2025-09-22T09:55:55Z","timestamp":1758534955000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/amc.2025031"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":32,"journal-issue":{"issue":"0","published-print":{"date-parts":[[2026]]}},"URL":"https:\/\/doi.org\/10.3934\/amc.2025031","relation":{},"ISSN":["1930-5346","1930-5338"],"issn-type":[{"type":"print","value":"1930-5346"},{"type":"electronic","value":"1930-5338"}],"subject":[],"published":{"date-parts":[[2026]]}}}