[{"abstract":[{"lang":"eng","text":"We determine the unique factorization of some polynomials over a finite local commutative ring with identity explicitly. This solves and generalizes the main conjecture of Qian, Shi and Solé in [13]. We also give some applications to enumeration of certain generalized double circulant self-dual and linear complementary dual (LCD) codes over some finite rings together with an application in asymptotic coding theory."}],"_id":"10842","date_published":"2022-07-01T00:00:00Z","article_processing_charge":"No","issue":"4","volume":14,"publication_status":"published","oa_version":"None","year":"2022","article_type":"original","publication_identifier":{"eissn":["1936-2455"],"issn":["1936-2447"]},"scopus_import":"1","external_id":{"isi":["000766422000002"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_updated":"2023-09-05T15:35:55Z","date_created":"2022-03-10T12:16:19Z","month":"07","page":"933-948","status":"public","intvolume":"        14","publication":"Cryptography and Communications","quality_controlled":"1","department":[{"_id":"GradSch"}],"isi":1,"publisher":"Springer Nature","type":"journal_article","author":[{"first_name":"Seyda","full_name":"Köse, Seyda","last_name":"Köse","id":"8ba3170d-dc85-11ea-9058-c4251c96a6eb"},{"last_name":"Özbudak","first_name":"Ferruh","full_name":"Özbudak, Ferruh"}],"day":"01","title":"Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes","citation":{"chicago":"Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” <i>Cryptography and Communications</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s12095-022-00557-8\">https://doi.org/10.1007/s12095-022-00557-8</a>.","ieee":"S. Köse and F. Özbudak, “Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes,” <i>Cryptography and Communications</i>, vol. 14, no. 4. Springer Nature, pp. 933–948, 2022.","ista":"Köse S, Özbudak F. 2022. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. Cryptography and Communications. 14(4), 933–948.","mla":"Köse, Seyda, and Ferruh Özbudak. “Factorization of Some Polynomials over Finite Local Commutative Rings and Applications to Certain Self-Dual and LCD Codes.” <i>Cryptography and Communications</i>, vol. 14, no. 4, Springer Nature, 2022, pp. 933–48, doi:<a href=\"https://doi.org/10.1007/s12095-022-00557-8\">10.1007/s12095-022-00557-8</a>.","short":"S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948.","ama":"Köse S, Özbudak F. Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. <i>Cryptography and Communications</i>. 2022;14(4):933-948. doi:<a href=\"https://doi.org/10.1007/s12095-022-00557-8\">10.1007/s12095-022-00557-8</a>","apa":"Köse, S., &#38; Özbudak, F. (2022). Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes. <i>Cryptography and Communications</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s12095-022-00557-8\">https://doi.org/10.1007/s12095-022-00557-8</a>"},"doi":"10.1007/s12095-022-00557-8","keyword":["Applied Mathematics","Computational Theory and Mathematics","Computer Networks and Communications"],"language":[{"iso":"eng"}],"acknowledgement":"The authors would like to thank Prof. Dr. Minjia Shi for bringing [13, Conjecture 3.5] to our attention. We would also like to thank the associate editor and anonymous reviewers for their valuable comments and suggestions which improved and clarified the manuscript."}]