(F2 + uF2)(F4 + uF4)-Additive Cyclic Codes

In this paper, we study some structural properties of $(\mathbb {F}_{2}+u\mathbb {F}_{2})(\mathbb {F}_{4}+u\mathbb {F}_{4})$ -additive cyclic codes, including the generator polynomials, the minimum generating sets and their dual codes. Structural properties of a map from $(\mathbb {F}_{2}+u\mathbb {F}_{2})(\mathbb {F}_{4}+u\mathbb {F}_{4})$ to $\mathbb {F}_{2}+u\mathbb {F}_{2}$ are also investigated.