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

Bappaditya Ghosh; Pramod Kumar Kewat

arxiv: 1508.07034 · v1 · pith:YTVBPLPXnew · submitted 2015-08-27 · 💻 cs.IT · math.IT

Cyclic codes over the ring mathbb{F}_p[u,v] / langle u^k,v²,uv-vurangle

Bappaditya Ghosh , Pramod Kumar Kewat This is my paper

classification 💻 cs.IT math.IT

keywords codescycliclanglemathbbrangleringuv-vudiscuss

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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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Cyclic codes over the ring mathbb{F}_p[u,v] / langle u^k,v²,uv-vurangle

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