Let p be a prime number. In this paper, we discuss the structures of cyclic codes over the ring Fp[u,v]/⟨uk,v2,uv−vu⟩. We find a unique set of generators for these codes. We also study the rank and the Hamming distance of these codes.
@article{arxiv.1508.07034,
title = {Cyclic codes over the ring $\mathbb{F}_p[u,v] / \langle u^k,v^2,uv-vu\rangle$},
author = {Bappaditya Ghosh and Pramod Kumar Kewat},
journal= {arXiv preprint arXiv:1508.07034},
year = {2015}
}