(F_p^m(F_p^m+uF_p^m)-Additive skew cyclic codes of length 2p^s

Document Type : Original Paper

Authors

1 Departement of Mathematics Malayer University, Malayer,Iran

2 Malayer University

3 Department of Mathematics Bu Ali Sina University Hamedan Iran

Abstract

Let p be a prime number and R_2 be the ring F_p^m + uF_p^m, where u^2 = 0. In this paper, we study the algebraic structure of F_p^m R_2-additive skew cyclic codes of length 2p^s and we determine a set of generator polynomials for this family of codes. These codes will be classified into seven distinct types of submodules. Finally, using a Gray map, we present some examples of F_p^m R_2-additive skew cyclic codes of length 2p^s.

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