{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T02:45:25Z","timestamp":1758595525228,"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.2025024","type":"journal-article","created":{"date-parts":[[2025,6,5]],"date-time":"2025-06-05T06:10:02Z","timestamp":1749103802000},"page":"1-9","source":"Crossref","is-referenced-by-count":0,"title":["Full flag codes are the &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ q $&lt;\/tex-math&gt;&lt;\/inline-formula&gt;-analog of permutation codes with the Manhattan metric"],"prefix":"10.3934","volume":"20","author":[{"given":"Michael","family":"Braun","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"2321","reference":[{"key":"key-10.3934\/amc.2025024-1","doi-asserted-by":"publisher","DOI":"10.3390\/math8122234"},{"key":"key-10.3934\/amc.2025024-2","doi-asserted-by":"publisher","DOI":"10.3390\/math10020217"},{"key":"key-10.3934\/amc.2025024-3","doi-asserted-by":"crossref","unstructured":"<p>C. Alonso-Gonz\u00e1lez, M. \u00c1. Navarro-P\u00e9rez and X. Soler-Escriv\u00e0, Flag codes from planar spreads in network coding, <i>Finite Fields and their Applications<\/i>, 68, 2020, 101745, 20 pp.<\/p>","DOI":"10.1016\/j.ffa.2020.101745"},{"key":"key-10.3934\/amc.2025024-4","doi-asserted-by":"publisher","DOI":"10.1007\/s10801-021-01086-y"},{"key":"key-10.3934\/amc.2025024-5","unstructured":"<p>G. Birkhoff., <i>Lattice Theory<\/i>, American Mathematical Society, third edition, 1967.<\/p>"},{"key":"key-10.3934\/amc.2025024-6","doi-asserted-by":"publisher","DOI":"10.1006\/jcta.2000.3091"},{"key":"key-10.3934\/amc.2025024-7"},{"key":"key-10.3934\/amc.2025024-8","doi-asserted-by":"crossref","unstructured":"<p>M. Greferath, M. O. Pav\u010devi\u0107, N. Silberstein and M. A. V\u00e1zquez-Castro, <i>Network Coding and Subspace Designs<\/i>, Springer, 2018.<\/p>","DOI":"10.1007\/978-3-319-70293-3"},{"key":"key-10.3934\/amc.2025024-9","doi-asserted-by":"crossref","unstructured":"<p>R. Jurrius and R. Pellikaan, Defining the $q$-Analogue of a Matroid, <i>The Electronic Journal of Combinatorics<\/i>, <b>25<\/b> (2018), Paper No. 3.2, 32 pp.<\/p>","DOI":"10.37236\/6569"},{"key":"key-10.3934\/amc.2025024-10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.926449"},{"key":"key-10.3934\/amc.2025024-11","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-021-00953-w"},{"key":"key-10.3934\/amc.2025024-12","doi-asserted-by":"crossref","unstructured":"<p>D. Liebhold, G. Nebe and M. A. V\u00e1zquez-Castro, <i>Generalizing subspace codes to flag codes using group actions<\/i>, Springer International Publishing, (2018), 67-89.<\/p>","DOI":"10.1007\/978-3-319-70293-3_4"},{"key":"key-10.3934\/amc.2025024-13","doi-asserted-by":"publisher","DOI":"10.1007\/s10623-017-0361-5"},{"key":"key-10.3934\/amc.2025024-14","doi-asserted-by":"crossref","unstructured":"<p>R. W. N\u00f3brega and B. F. Uch\u00f4a-Filho, Multishot codes for network coding: Bounds and a multilevel construction, in <i>IEEE International Symposium on Information Theory<\/i>, (2009), 428-432.<\/p>","DOI":"10.1109\/ISIT.2009.5205750"},{"key":"key-10.3934\/amc.2025024-15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00150939"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"deposited":{"date-parts":[[2025,9,22]],"date-time":"2025-09-22T09:55:11Z","timestamp":1758534911000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/amc.2025024"}},"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.2025024","relation":{},"ISSN":["1930-5346","1930-5338"],"issn-type":[{"type":"print","value":"1930-5346"},{"type":"electronic","value":"1930-5338"}],"subject":[],"published":{"date-parts":[[2026]]}}}