Year 2020, Volume 7 , Issue 1, Pages 21 - 33 2020-02-29

A class of constacyclic codes containing formally self-dual and isodual codes

Manjit SİNGH [1]


In this paper, we investigate a class of constacyclic codes which contains isodual codes and formally self-dual codes. Further, we introduce a recursive approach to obtain the explicit factorization of $x^{2^m\ell^n}-\mu_k\in\mathbb{F}_q[x]$, where $n, m$ are positive integers and $\mu_k$ is an element of order $\ell^k$ in $\mathbb{F}_q$. Moreover, we give many examples of interesting isodual and formally self-dual constacyclic codes.
Constacyclic codes, Weight distributions, Isodual codes, Formally self-dual codes
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Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0003-3351-7287
Author: Manjit SİNGH

Dates

Publication Date : February 29, 2020

Bibtex @research article { jacodesmath645018, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2020}, volume = {7}, pages = {21 - 33}, doi = {10.13069/jacodesmath.645018}, title = {A class of constacyclic codes containing formally self-dual and isodual codes}, key = {cite}, author = {Si̇ngh, Manjit} }
APA Si̇ngh, M . (2020). A class of constacyclic codes containing formally self-dual and isodual codes . Journal of Algebra Combinatorics Discrete Structures and Applications , 7 (1) , 21-33 . DOI: 10.13069/jacodesmath.645018
MLA Si̇ngh, M . "A class of constacyclic codes containing formally self-dual and isodual codes" . Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2020 ): 21-33 <https://dergipark.org.tr/en/pub/jacodesmath/issue/51990/645018>
Chicago Si̇ngh, M . "A class of constacyclic codes containing formally self-dual and isodual codes". Journal of Algebra Combinatorics Discrete Structures and Applications 7 (2020 ): 21-33
RIS TY - JOUR T1 - A class of constacyclic codes containing formally self-dual and isodual codes AU - Manjit Si̇ngh Y1 - 2020 PY - 2020 N1 - doi: 10.13069/jacodesmath.645018 DO - 10.13069/jacodesmath.645018 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 21 EP - 33 VL - 7 IS - 1 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.645018 UR - https://doi.org/10.13069/jacodesmath.645018 Y2 - 2019 ER -
EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications A class of constacyclic codes containing formally self-dual and isodual codes %A Manjit Si̇ngh %T A class of constacyclic codes containing formally self-dual and isodual codes %D 2020 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 7 %N 1 %R doi: 10.13069/jacodesmath.645018 %U 10.13069/jacodesmath.645018
ISNAD Si̇ngh, Manjit . "A class of constacyclic codes containing formally self-dual and isodual codes". Journal of Algebra Combinatorics Discrete Structures and Applications 7 / 1 (February 2020): 21-33 . https://doi.org/10.13069/jacodesmath.645018
AMA Si̇ngh M . A class of constacyclic codes containing formally self-dual and isodual codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020; 7(1): 21-33.
Vancouver Si̇ngh M . A class of constacyclic codes containing formally self-dual and isodual codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2020; 7(1): 21-33.