On the structure of cyclic codes over M2$$({\mathbb {F}}_{\it{p}}$$ + u$${\mathbb {F}}

On the structure of cyclic codes over M2$$({\mathbb {F}}_{\it{p}}$$ + u$${\mathbb {F}}_{\it{p}})$$

Published:2021-06-14 Issue: Volume: Page:
ISSN:0019-5588
Container-title:Indian Journal of Pure and Applied Mathematics
language:en
Short-container-title:Indian J Pure Appl Math

Author:

Islam Habibul,Prakash Om^ORCID,Bhunia Dipak Kumar

Funder

University Grants Commission

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s13226-021-00014-x.pdf

Reference20 articles.

1. Alahmadi, A., Sboui, H., Solé, P., Yemen, O.: Cyclic codes over $$M_{2}({\mathbb{F}}_2)$$. J. Franklin Institute. 350, 2837-2847 (2013).

2. Bhowmick, S., Bagchi, S., Bandi, R. K.: Self-dual cyclic codes over $$M_{2}({\mathbb{Z}}_4)$$. (preprint) arXiv:1807.04913 (2018).

3. Bosma, W., Cannon, J.: Handbook of Magma Functions. Univ. of Sydney, Sydney (1995).

4. Boucher, D., Geiselmann, W., Ulmer, F.: Skew cyclic codes. Appl. Algebra Eng. Comm. 18, 379-389 (2007).

5. Falcunit, D. F., Sison, V.: Cyclic codes over matrix ring $$M_{2}({\mathbb{F}}_{p})$$ and their isometric images over $${\mathbb{F}}_{p^2}+u{\mathbb{F}}_{p^2}$$. (preprint) arXiv:1409.7228 (2014).

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5. Erratum to: On the structure of cyclic codes over M2$$({\mathbb {F}}_{\it{p}}$$ + u$${\mathbb {F}}_{\it{p}})$$;Indian Journal of Pure and Applied Mathematics;2021-06-29