{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:23:24Z","timestamp":1753885404698,"version":"3.41.2"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"name":"Development and Promotion of Science and Technology Talent Project, Thailand."},{"DOI":"10.13039\/501100004396","name":"Thailand Research Fund","doi-asserted-by":"publisher","award":["RSA6280042"],"award-info":[{"award-number":["RSA6280042"]}],"id":[{"id":"10.13039\/501100004396","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Nanyang Technological University Research Grant","award":["04INS000047C230GRT01"],"award-info":[{"award-number":["04INS000047C230GRT01"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:p> Polyadic constacyclic codes over finite fields have been of interest due to their nice algebraic structures, good parameters, and wide applications. Recently, the study of Type-I m-adic constacyclic codes over finite fields has been established. In this paper, a family of Type-II m-adic constacyclic codes is investigated. The existence of such codes is determined using the length of orbits in a suitable group action. A necessary condition and a sufficient condition for a positive integer s to be a multiplier of a Type-II m-adic constacyclic code are determined. Subsequently, for a given positive integer m, a necessary condition and a sufficient condition for the existence of Type-II m-adic constacyclic codes are derived. In many cases, these conditions become both necessary and sufficient. For the other cases, determining necessary and sufficient conditions is equivalent to the discrete logarithm problem which is considered to be computationally intractable. Some special cases are investigated together with examples of Type-II polyadic constacyclic codes with good parameters. <\/jats:p>","DOI":"10.1142\/s1793830922500720","type":"journal-article","created":{"date-parts":[[2022,2,21]],"date-time":"2022-02-21T13:55:20Z","timestamp":1645451720000},"source":"Crossref","is-referenced-by-count":0,"title":["Type-II polyadic constacyclic codes over finite fields"],"prefix":"10.1142","volume":"15","author":[{"given":"Somphong","family":"Jitman","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"San","family":"Ling","sequence":"additional","affiliation":[{"name":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Republic of Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2854-5814","authenticated-orcid":false,"given":"Jareena","family":"Tharnnukhroh","sequence":"additional","affiliation":[{"name":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Republic of Singapore"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,3,28]]},"reference":[{"key":"S1793830922500720BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2008.05.004"},{"key":"S1793830922500720BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.ffa.2013.05.005"},{"key":"S1793830922500720BIB003","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0166-218X(89)90042-5","volume":"25","author":"Brualdi R. 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