Cyclic codes over some special rings

Details Cyclic codes over some special rings Cyclic codes over some special rings

2012-04-17

arxiv.org/abs/1204.3740v1

Computer Science

Information Theory

version 1

Scientific paper

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.

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