{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T02:45:32Z","timestamp":1758595532361,"version":"3.44.0"},"reference-count":35,"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.2025026","type":"journal-article","created":{"date-parts":[[2025,6,9]],"date-time":"2025-06-09T05:57:56Z","timestamp":1749448676000},"page":"23-41","source":"Crossref","is-referenced-by-count":0,"title":["On &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$  {{\\mathbb{Z}}_p{\\mathbb{Z}}_{p^2}\\dots{\\mathbb{Z}}_{p^s}} $&lt;\/tex-math&gt;&lt;\/inline-formula&gt;-additive codes: Linearity, duality and &lt;inline-formula&gt;&lt;tex-math id=\"M2\"&gt;$ (G_1,G_2,\\dots,G_s) $&lt;\/tex-math&gt;&lt;\/inline-formula&gt;-codes"],"prefix":"10.3934","volume":"20","author":[{"given":"Steven T.","family":"Dougherty","sequence":"first","affiliation":[]},{"given":"Cristina","family":"Fern\u00e1ndez-C\u00f3rdoba","sequence":"additional","affiliation":[{"name":"Department of Information and Communication Engineering, Universitat Aut\u00f2noma de Barcelona, Spain"}]},{"given":"Serap","family":"\u015eahinkaya","sequence":"additional","affiliation":[{"name":"Department of Natural and Mathematical Sciences, Tarsus University, Mersin, Turkey"}]},{"given":"Deniz","family":"Ustun","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, Tarsus University, Mersin, Turkey"}]}],"member":"2321","reference":[{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-1","DOI":"10.1109\/TIT.2014.2299791"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-2","DOI":"10.12785\/amis\/070617"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-3","DOI":"10.1080\/03081087.2014.952728"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-4","DOI":"10.1016\/j.ffa.2019.101622"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-5","DOI":"10.1016\/j.ffa.2025.102592"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-6","DOI":"10.1007\/s10623-022-01026-2"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-7","DOI":"10.3934\/amc.2023047"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-8","DOI":"10.1016\/j.ffa.2022.102140"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-9","DOI":"10.3934\/amc.2012.6.287"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-10","DOI":"10.1007\/s10623-009-9316-9"},{"unstructured":"<p>J. Borges, C. Fern\u00e1ndez-C\u00f3rdoba, J. Pujol, J. Rif\u00e0 and M. Villanueva, <i><inline-formula><tex-math id=\"M919\">$ {\\mathbb{Z}}_2 {\\mathbb{Z}}_4$<\/tex-math><\/inline-formula>-Linear Codes<\/i>, Springer, 2022.<\/p>","key":"key-10.3934\/amc.2025026-11"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-12","DOI":"10.1109\/TIT.2016.2611528"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-13","DOI":"10.1002\/mma.4491"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-14","DOI":"10.1007\/BF01390768"},{"key":"key-10.3934\/amc.2025026-15"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-16","DOI":"10.1109\/18.681328"},{"doi-asserted-by":"crossref","unstructured":"<p>C. Carlet and S. Guilley, Complementary dual codes for counter-measures to side-channel attacks, <i>Coding Theory and Applications, CIM Series in Mathematical Sciences<\/i>, Palmela, Portugal, <b>3<\/b> (2014), 97-105.<\/p>","key":"key-10.3934\/amc.2025026-17","DOI":"10.1007\/978-3-319-17296-5_9"},{"unstructured":"<p>P. Delsarte, <i>An Algebraic Approach to the Association Schemes of Coding Theory<\/i>, Philips Research Reports, Supplements, Ann Arbor, MI: Historical Jrl. vi, 1973.<\/p>","key":"key-10.3934\/amc.2025026-18"},{"doi-asserted-by":"crossref","unstructured":"<p>S. T. Dougherty, <i>Algebraic Coding Theory over Finite Commutative Rings<\/i>, SpringerBriefs in Mathematics. Cham: Springer, 2017.<\/p>","key":"key-10.3934\/amc.2025026-19","DOI":"10.1007\/978-3-319-59806-2"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-20","DOI":"10.3934\/amc.2023023"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-21","DOI":"10.3934\/amc.2011.5.571"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-22","DOI":"10.1007\/s10623-017-0440-7"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-23","DOI":"10.1016\/j.ffa.2009.11.004"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-24","DOI":"10.1109\/TIT.2022.3162181"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-25","DOI":"10.1007\/s10623-009-9340-9"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-26","DOI":"10.1007\/s10623-018-0546-6"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-27","DOI":"10.1109\/TIT.2019.2952599"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-28","DOI":"10.1109\/18.312154"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-29","DOI":"10.1109\/TIT.2023.3317064"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-30","DOI":"10.1016\/0012-365X(92)90563-U"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-31","DOI":"10.1109\/18.556115"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-32","DOI":"10.1109\/18.556115"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-33","DOI":"10.1109\/18.556115"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-34","DOI":"10.1137\/S0895480101397219"},{"doi-asserted-by":"publisher","key":"key-10.3934\/amc.2025026-35","DOI":"10.1353\/ajm.1999.0024"}],"container-title":["Advances in Mathematics of Communications"],"original-title":[],"deposited":{"date-parts":[[2025,9,22]],"date-time":"2025-09-22T09:55:36Z","timestamp":1758534936000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.aimsciences.org\/\/article\/doi\/10.3934\/amc.2025026"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":35,"journal-issue":{"issue":"0","published-print":{"date-parts":[[2026]]}},"URL":"https:\/\/doi.org\/10.3934\/amc.2025026","relation":{},"ISSN":["1930-5346","1930-5338"],"issn-type":[{"type":"print","value":"1930-5346"},{"type":"electronic","value":"1930-5338"}],"subject":[],"published":{"date-parts":[[2026]]}}}