Cyclic codes over some special rings
Information Theory
2013-02-18 v2 math.IT
Rings and Algebras
Abstract
In this paper we will study cyclic codes over some special rings: F_{q}[u]/(u^{i}), F_{q}[u_1,...u_{i}]/(u_1^2,u_2^2,...,u_{i}^2, u_1 u_2 - u_2 u_1,...,u_{i}u_{j} - u_{j}u_{i},...), F_{q}[u,v]/(u^{i},v^{j},uv-vu), q=p^{r}, where p is a prime number, r\in N-{0} and F_{q} is a field with q elements.
Keywords
Cite
@article{arxiv.1204.3740,
title = {Cyclic codes over some special rings},
author = {Cristina Flaut},
journal= {arXiv preprint arXiv:1204.3740},
year = {2013}
}
Comments
accepted in the Bulletin of the Korean Mathematical Society