Cyclic codes over the ring $\mathbb{F}_p[u,v] / \langle u^k,v^2,uv-vu\rangle$

Bappaditya Ghosh; Pramod Kumar Kewat

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arXiv · 1508.07034

Cyclic codes over the ring $\mathbb{F}_p[u,v] / \langle u^k,v^2,uv-vu\rangle$

Bappaditya Ghosh·Pramod Kumar Kewat

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Abstract

Let $p$ be a prime number. In this paper, we discuss the structures of cyclic codes over the ring $ \mathbb{F}_p[u, v] / \langle u^k, v^2, uv-vu\rangle$. We find a unique set of generators for these codes. We also study the rank and the Hamming distance of these codes.

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Bappaditya Ghosh, Pramod Kumar Kewat. 2015-08-27. Cyclic codes over the ring $\mathbb{F}_p[u,v] / \langle u^k,v^2,uv-vu\rangle$. https://arxiv.org/abs/1508.07034

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