{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T02:46:20Z","timestamp":1758595580690,"version":"3.44.0"},"reference-count":15,"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.2025030","type":"journal-article","created":{"date-parts":[[2025,6,27]],"date-time":"2025-06-27T05:36:17Z","timestamp":1751002577000},"page":"84-92","source":"Crossref","is-referenced-by-count":0,"title":["New NMDS self-dual codes over finite fields"],"prefix":"10.3934","volume":"20","author":[{"given":"Khawla","family":"Lebed","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dabin","family":"Zheng","sequence":"additional","affiliation":[{"name":"Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan, 430062, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongwei","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/amc.2025030-1","doi-asserted-by":"crossref","unstructured":"<p>V. R. Cadambe, C. Huang and J. Li, Permutation code: Optimal exact-repair of a single failed node in MDS code based distributed storage systems, <i>Proc. IEEE Int. Symp. Inf. Theory (ISIT)<\/i>, (2011), 1225-1229.<\/p>","DOI":"10.1109\/ISIT.2011.6033730"},{"key":"key-10.3934\/amc.2025030-2","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.921692"},{"key":"key-10.3934\/amc.2025030-3","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.2990396"},{"key":"key-10.3934\/amc.2025030-4"},{"key":"key-10.3934\/amc.2025030-5","doi-asserted-by":"crossref","unstructured":"<p>S. T. Dougherty, S. Mesnager and P. Sol\u00e9, Secret-sharing schemes based on self-dual codes, <i>Proc. IEEE Inf. Theory Workshop<\/i>, 2008,338-342.<\/p>","DOI":"10.1109\/ITW.2008.4578681"},{"key":"key-10.3934\/amc.2025030-6","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-020-00734-x"},{"key":"key-10.3934\/amc.2025030-7","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.928297"},{"key":"key-10.3934\/amc.2025030-8","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-024-01450-6"},{"key":"key-10.3934\/amc.2025030-9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2880913"},{"key":"key-10.3934\/amc.2025030-10","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2009.3.349"},{"key":"key-10.3934\/amc.2025030-11","unstructured":"<p>F. J. MacWilliams and N. J. A. Sloane, <i>The theory of error-correcting codes<\/i>, North-Holland Math. Library, Vol. 16, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977.<\/p>"},{"key":"key-10.3934\/amc.2025030-12","unstructured":"<p>J. Massey, Some applications of coding theory in cryptography, <i>Proceeding of the Fourth IMA Conference on Cryptography and Coding<\/i>, 1995, 33-47.<\/p>"},{"key":"key-10.3934\/amc.2025030-13","unstructured":"<p>D. Simos and Z. Varbanov, MDS codes, NMDS codes and their secret-sharing schems, Accessed: Apr.[Online], 2018.<\/p>"},{"key":"key-10.3934\/amc.2025030-14","doi-asserted-by":"publisher","DOI":"10.1109\/TCOMM.2018.2789457"},{"key":"key-10.3934\/amc.2025030-15","doi-asserted-by":"crossref","unstructured":"<p>Y. Zhou, F. Wang, Y. Xin, S. Luo, S. Qing and Y. Yang, A secret sharing scheme based on near-MDS codes, <i>IEEE International Conference on Network Infrastructure and Digital Content. IEEE<\/i>, 2009,833-836.<\/p>","DOI":"10.1109\/ICNIDC.2009.5360821"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"deposited":{"date-parts":[[2025,9,22]],"date-time":"2025-09-22T09:55:52Z","timestamp":1758534952000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/amc.2025030"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":15,"journal-issue":{"issue":"0","published-print":{"date-parts":[[2026]]}},"URL":"https:\/\/doi.org\/10.3934\/amc.2025030","relation":{},"ISSN":["1930-5346","1930-5338"],"issn-type":[{"type":"print","value":"1930-5346"},{"type":"electronic","value":"1930-5338"}],"subject":[],"published":{"date-parts":[[2026]]}}}