{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:29:29Z","timestamp":1753882169543,"version":"3.41.2"},"reference-count":26,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2024,1]]},"abstract":"<jats:p>In this paper, we investigate the structure and properties of skew negacyclic codes and skew quasi-negacyclic codes over the ring [Formula: see text] Some structural properties of [Formula: see text] are discussed, where [Formula: see text] is an automorphism of [Formula: see text] A skew quasi-negacyclic code of length [Formula: see text] with index [Formula: see text] over [Formula: see text] is viewed both as in the conventional row circulant form and also as an [Formula: see text]-submodule of [Formula: see text], where [Formula: see text] is the Galois extension ring of degree [Formula: see text] over [Formula: see text] and [Formula: see text] is an automorphism of [Formula: see text] A sufficient condition for one generator skew quasi-negacyclic codes to be free is determined. Some distance bounds for free one generator skew quasi-negacyclic codes are discussed. Furthermore, given the decomposition of a skew quasi-negacyclic code, we provide the decomposition of its dual code. As a result, a characterization of self-dual skew quasi-negacyclic codes over [Formula: see text] is provided. By using computer search we obtained a number of new linear codes over [Formula: see text] from skew negacyclic and skew quasi-negacyclic codes over [Formula: see text].<\/jats:p>","DOI":"10.1142\/s1793830922501865","type":"journal-article","created":{"date-parts":[[2022,11,18]],"date-time":"2022-11-18T03:10:29Z","timestamp":1668741029000},"source":"Crossref","is-referenced-by-count":1,"title":["On some skew codes over \u2124q + u\u2124q"],"prefix":"10.1142","volume":"16","author":[{"given":"Zineb","family":"Hebbache","sequence":"first","affiliation":[{"name":"Faculty of Mathematics,USTHB, BP 32, El Alia, Bab Ezzouar, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abidin","family":"Kaya","sequence":"additional","affiliation":[{"name":"Harmony School of Advancement, Houston, TX 77038, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5618-2427","authenticated-orcid":false,"given":"Nuh","family":"Aydin","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Kenyon College, Gambier, OH 43022, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kenza","family":"Guenda","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics,USTHB, BP 32, El Alia, Bab Ezzouar, Algeria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,12,19]]},"reference":[{"issue":"7","key":"S1793830922501865BIB003","doi-asserted-by":"crossref","first-page":"2065","DOI":"10.1109\/TIT.2002.1013145","volume":"48","author":"Aydin N.","year":"2002","journal-title":"IEEE Trans. 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