{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,24]],"date-time":"2023-03-24T10:28:27Z","timestamp":1679653707750},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2020,10]]},"abstract":"<jats:p> Let [Formula: see text] be a prime such that [Formula: see text]. The algebraic structures of all cyclic and negacyclic codes of length [Formula: see text] over the finite commutative chain ring [Formula: see text] are obtained that the conditions depend on the factorization of polynomial [Formula: see text] over [Formula: see text]. Therefore, we classify the structures of cyclic and negacyclic codes of length [Formula: see text] over [Formula: see text] into 2 cases, i.e., [Formula: see text] and [Formula: see text]. From that we obtain the number of all cyclic and negacyclic codes of length [Formula: see text] over [Formula: see text]. After that, we give some situations for such cyclic and negacyclic codes are self-dual codes. <\/jats:p>","DOI":"10.1142\/s1793830920500639","type":"journal-article","created":{"date-parts":[[2020,6,4]],"date-time":"2020-06-04T13:40:06Z","timestamp":1591278006000},"page":"2050063","source":"Crossref","is-referenced-by-count":2,"title":["Explicit constructions of cyclic and negacyclic codes of length 3ps over \ud835\udd3dpm + u\ud835\udd3dpm"],"prefix":"10.1142","volume":"12","author":[{"given":"Jirayu","family":"Phuto","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"}]},{"given":"Chakkrid","family":"Klin-Eam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"},{"name":"Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok 65000, Thailand"}]}],"member":"219","published-online":{"date-parts":[[2020,6,4]]},"reference":[{"key":"S1793830920500639BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/18.761278"},{"key":"S1793830920500639BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/18.75249"},{"key":"S1793830920500639BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2015.09.006"},{"key":"S1793830920500639BIB005","doi-asserted-by":"publisher","DOI":"10.3934\/amc.2018016"},{"key":"S1793830920500639BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1973.1054936"},{"key":"S1793830920500639BIB007","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2013015"},{"key":"S1793830920500639BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2010.05.027"},{"key":"S1793830920500639BIB009","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/480\/09369"},{"key":"S1793830920500639BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2011.07.003"},{"key":"S1793830920500639BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2013.01.024"},{"key":"S1793830920500639BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S1793557113500204"},{"key":"S1793830920500639BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2016.11.014"},{"key":"S1793830920500639BIB014","volume":"18","author":"Dinh H. 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