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Cyclic codes over some special rings

Published 17 Apr 2012 in cs.IT, math.IT, and math.RA | (1204.3740v2)

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_12,u_22,...,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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