{"type":"journal_article","date_published":"2022-07-01T00:00:00Z","isi":1,"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"]},"oa_version":"None","volume":14,"page":"933-948","issue":"4","keyword":["Applied Mathematics","Computational Theory and Mathematics","Computer Networks and Communications"],"month":"07","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","external_id":{"isi":["000766422000002"]},"publication":"Cryptography and Communications","date_created":"2022-03-10T12:16:19Z","status":"public","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>.","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>","short":"S. Köse, F. Özbudak, Cryptography and Communications 14 (2022) 933–948.","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>","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>."},"day":"01","publication_status":"published","year":"2022","article_type":"original","quality_controlled":"1","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."}],"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.","date_updated":"2023-09-05T15:35:55Z","language":[{"iso":"eng"}],"publisher":"Springer Nature","intvolume":"        14","author":[{"full_name":"Köse, Seyda","first_name":"Seyda","id":"8ba3170d-dc85-11ea-9058-c4251c96a6eb","last_name":"Köse"},{"last_name":"Özbudak","first_name":"Ferruh","full_name":"Özbudak, Ferruh"}],"scopus_import":"1","doi":"10.1007/s12095-022-00557-8","_id":"10842","department":[{"_id":"GradSch"}]}