Volume 21, Issue 1 (4-2026)
IJMSI 2026, 21(1): 181-196 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Bagheri S, Mohammadi Hesari R, Shahpouri E, Samei K. Duality of FqFq[u]-additive Skew Cyclic Codes. IJMSI 2026; 21 (1) :181-196
URL: http://ijmsi.ir/article-1-2285-en.html
URL: http://ijmsi.ir/article-1-2285-en.html
Abstract:
Li et al. (2021) obtained the generator polynomials and the minimal generating sets of FqFq[u]-linear skew cyclic codes, where q is a power of a prime integer and u2 = 0. In this paper, we determine the structure of dual of these codes in terms of their generating polynomials and we illustrate the dual of some special FqFq[u]-additive skew cyclic codes.
Type of Study: Research paper |
Subject:
Special
References
1. T. Abualrub, I. Siap, N. Aydin, Z2Z4-additive Cyclic Codes, IEEE. Trans. Inf. Theory, 60(3), (2014), 1508-1514. [DOI:10.1109/TIT.2014.2299791]
2. I. Aydogdu, T. Abualrub, I. Siap, N. Aydin, On Z2Z2[u]-additive Codes, Int. J. Comput. Math., 92(9), (2015), 1806-1814. [DOI:10.1080/00207160.2013.859854]
3. I. Aydogdu, T. Abualrub, I. Siap, N. Aydin, On Z2Z2[u]-cyclic and Constacyclic Codes, IEEE. Trans. Inf. Theory, 63(8), (2017), 4883-4893. [DOI:10.1109/TIT.2016.2632163]
4. J. Borges, C. Fernandez-C'ordoba, R. Ten-Valls, On Zpr Zps-additive Cyclic Codes, Adv. Math. Commun, 12(1), (2018), 169-179. [DOI:10.3934/amc.2018011]
5. D. Boucher, W. Geiselmann, F. Ulmer, Skew Cyclic Codes, Appl. Algebra Eng. Commun. Comput., 18, (2007), 379-389. [DOI:10.1007/s00200-007-0043-z]
6. D. Boucher, F. Ulmer, A Note on the Dual Codes of Module Skew Codes, Lecture Notes in Computer Science, 7089, Springer, Berlin, 7089, (2011), 230-243. [DOI:10.1007/978-3-642-25516-8_14]
7. H. Q. Dinh, Constacyclic Codes of Length ps Over Fpm +uFpm, J. Algebra, 324, (2010), 940-950. [DOI:10.1016/j.jalgebra.2010.05.027]
8. H. Q. Dinh, Y. Fan, H. Liu, X. Liu, S. Sriboonchitta, On Self-dual Constacyclic Codes of Length ps Over Fpm + uFpm, Discrete Math., 341, (2018), 324-335.
9. R. M. Hesari, R. Rezaei, K. Samei, On Self Dual Skew Cyclic Codes of Length ps Over F pm + uFpm, Discrete Math., 344(11), (2021), 112569. [DOI:10.1016/j.disc.2021.112569]
10. S. Jitman, S. Ling, P. Udomkavanich, Skew Constacyclic Codes Over Finite Chain Rings, Adv. Math. Commun., 6, (2012), 39-63. [DOI:10.3934/amc.2012.6.39]
11. J. Li, J. Gao, F-W. Fu, FqR-Linear Skew Cyclic Codes, Appl. Math. Comput., 68(3) (2022), 1719-1741. [DOI:10.1007/s12190-021-01588-9]
12. S. Mahmoudi, K. Samei, SR-Additive Codes, Bull. Korean Math. Soc., 56, (2019), 1235-1255. [DOI:10.1016/j.ffa.2018.12.003]
13. O. Ore, Theory of Non-commutative Polynomials, Ann. Math., 34(3), (1933), 480-508. [DOI:10.2307/1968173]
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
