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Cyclic codes over some special rings

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In this paper we will study cyclic codes over some special rings: Fq[u]/(ui), Fq[u1, . . . , ui]/(u21 , u22 , . . . , u2 i , u1u2 − u2u1, . . . , ukuj − ujuk, . . .), and Fq[u, v]/ (ui, vj , uv − vu), where Fq is a field with q ele- ments q = pr for some prime number p and r ∈ N − {0}.

Abstract

In this paper we will study cyclic codes over some special rings: Fq[u]/(ui), Fq[u1, . . . , ui]/(u21 , u22 , . . . , u2 i , u1u2 − u2u1, . . . , ukuj − ujuk, . . .), and Fq[u, v]/ (ui, vj , uv − vu), where Fq is a field with q ele- ments q = pr for some prime number p and r ∈ N − {0}.

참고문헌 (19)

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