$(1+2u)$-constacyclic codes over ${\mathbb{Z}}_4+u{\mathbb{Z}}_4$

Mohammad Ashraf, Ghulam Mohammad

Let $R={\mathbb{Z}}_4+u{\mathbb{Z}}_4,$ where ${\mathbb{Z}}_4$ denotes the ring of integers modulo $4$ and $u^2=0$. In the present paper, we introduce a new Gray map from $R^n$ to $\math…