Skew Cyclic Codes over the Non-Chain ring $\mathcal{R}_q=\mathbb{F}_q[v]/\langle v^{2}+1\rangle$

Year 2022, , 51 - 60, 30.04.2022

Mehmet Emin Köroğlu

https://doi.org/10.30931/jetas.1057395

Abstract

In this paper, we investigate the algebraic structure of the non-local ring $\mathcal{R}_q = \mathbb{F}_q[v]/\langle v^{2}+1\rangle$ and identify the automorphisms of this ring to study the algebraic structure of the skew cyclic codes and their duals over it.

Keywords

Non-chain ring, linear codes, skew cyclic codes

References

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