On the Non-Existence of Certain Classes of Generalized Bent Functions

We obtain new non-existence results of generalized bent functions from $ \mathbb Z^{n}_{q}$ to $ \mathbb Z_{q}$ (called type $[n,q]$ ). The first case is a class with types, where $q=2p_{1}^{r_{1}}p_{2}^{r_{2}}$ . The second case contains two types $[1\le n\le 3,2 \times 31^{e}]$ and $[1\le n\le 5,2 \times 151^{e}]$ .