Cyclic codes over some special rings

Abstract

In this paper we will study cyclic codes over some special rings: Fq[u]/(ui), Fq[u1,...ui]/(u12,u22,...,ui2, u1 u2 - u2 u1,...,uiuj - ujui,...), Fq[u,v]/(ui,vj,uv-vu), q=pr, where p is a prime number, r∈ N-0 and Fq is a field with q elements.

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