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