{"article_processing_charge":"No","title":"Factorization of some polynomials over finite local commutative rings and applications to certain self-dual and LCD codes","publication_identifier":{"issn":["1936-2447"],"eissn":["1936-2455"]},"date_created":"2022-03-10T12:16:19Z","language":[{"iso":"eng"}],"intvolume":"        14","page":"933-948","issue":"4","day":"01","article_type":"original","publisher":"Springer Nature","type":"journal_article","abstract":[{"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.","lang":"eng"}],"date_published":"2022-07-01T00:00:00Z","oa_version":"None","department":[{"_id":"GradSch"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"isi":["000766422000002"]},"author":[{"full_name":"Köse, Seyda","last_name":"Köse","id":"8ba3170d-dc85-11ea-9058-c4251c96a6eb","first_name":"Seyda"},{"full_name":"Özbudak, Ferruh","first_name":"Ferruh","last_name":"Özbudak"}],"date_updated":"2023-09-05T15:35:55Z","doi":"10.1007/s12095-022-00557-8","quality_controlled":"1","year":"2022","_id":"10842","volume":14,"keyword":["Applied Mathematics","Computational Theory and Mathematics","Computer Networks and Communications"],"scopus_import":"1","month":"07","publication":"Cryptography and Communications","citation":{"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>","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>","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.","short":"S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948.","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>."},"isi":1,"publication_status":"published","status":"public","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."}