فهرست مطالب karim samei

Blackford (2008) [1] introduced the concept of negacyclic duadic codes over the field Fq, andclassified all self-dual negacyclic codes over Fq. In this paper, we define negacyclic duadic codes overring Fq +vFq and by using a Gray map on these codes, we get self-dual and self-orthogonal codes on thefield Fq. Also, we introduce some extensions of negacyclic duadic codes over ring Fq + vFq and presenttheir properties. Finally, we present some examples of negacyclic duadic codes over this ring and self-dualand self-orthogonal codes on the field Fq.

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.