FqR1R2 Skew Constacyclic Codes & Their Gray Images

Abstract

In this study, we investigate the structure of linear codes over a mixed alphabet F_qR₁R_2. We mainly studied skew constacyclic codes over F_qR₁R_2. The duals of them are determined. The concept of separable code is introduced. A Gray map is introduced, and the Gray images of skew constacyclic codes over F_qR₁R₂  are obtained.