{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T07:12:17Z","timestamp":1772262737366,"version":"3.50.1"},"reference-count":12,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T00:00:00Z","timestamp":1672099200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this article, we investigate the formation of reversible cyclic codes (i.e., its codewords forms a symmetry) over the ring S=F2+uF2+u2F2, where u3=0. We find a unique set of generators for cyclic codes over S and classify reversible cyclic codes to their generators. The dual reversible cyclic codes are studied as well. Moreover, we provide some examples of reversible cyclic codes.<\/jats:p>","DOI":"10.3390\/sym15010073","type":"journal-article","created":{"date-parts":[[2022,12,28]],"date-time":"2022-12-28T08:42:22Z","timestamp":1672216942000},"page":"73","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Reversible Cyclic Codes over F2+uF2+u2F2"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7856-2861","authenticated-orcid":false,"given":"Amal S.","family":"Alali","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2721-9032","authenticated-orcid":false,"given":"Mohd","family":"Azmi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3955-7941","authenticated-orcid":false,"given":"Nadeem","family":"ur Rehman","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1109\/18.312154","article-title":"The Z4-linearity of Kerdock, Preparata, Goethals, and related codes","volume":"40","author":"Hammons","year":"1994","journal-title":"IEEE Trans. Inf. 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Commun."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Srinivasulu, B., and Bhaintwal, M. (2015, January 2). Reversible cyclic codes over F4+uF4 and their applications to DNA codes. Proceedings of the 7th International Conference on Information Technology and Electrical Engineering, Malang, Indonesia.","DOI":"10.1109\/ICITEED.2015.7408921"},{"key":"ref_11","first-page":"1","article-title":"Reversible cyclic codes over Fq+uFq","volume":"40","author":"Prakash","year":"2021","journal-title":"Comput. Appl. Math."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/s40304-019-00188-1","article-title":"On Cyclic DNA Codes Over F2+uF2+u2F2","volume":"9","author":"Mostafanasab","year":"2019","journal-title":"Commun. Math. Stat."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/1\/73\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:52:43Z","timestamp":1760147563000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/1\/73"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,27]]},"references-count":12,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,1]]}},"alternative-id":["sym15010073"],"URL":"https:\/\/doi.org\/10.3390\/sym15010073","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,12,27]]}}}