Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  obtain some new nonexistence results of generalized bent functions from \({\mathbb {Z}}^n_q\) to \({\mathbb {Z}}_q\) (called type [n, q]) in the case that there exist cyclotomic integers in \( {\mathbb {Z}}[\zeta _{q}]\) with absolute value \(q^{\frac{n}{2}}\). This result generalizes two previous nonexistence results \([n,q]=[1,2\times 7]\) of Pei (Lect Notes Pure Appl Math 141:165–172, 1993) and \([3,2\times 23^e]\) of Jiang and Deng (Des Codes Cryptogr 75:375–385, 2015).  also remark that by using a same method one can get similar nonexistence results of GBFs from \({\mathbb {Z}}^n_2\) to \({\mathbb {Z}}_m\).
['Jianing Li', 'Yingpu Deng']
I am writing a research paper on a idea Nonexistence of two classes of generalized bent functions
[{"from": "human", "value": "I am writing a research paper on a idea Nonexistence of two classes of generalized bent functions"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  obtain some new nonexistence results of generalized bent functions from \\({\\mathbb {Z}}^n_q\\) to \\({\\mathbb {Z}}_q\\) (called type [n, q]) in the case that there exist cyclotomic integers in \\( {\\mathbb {Z}}[\\zeta _{q}]\\) with absolute value \\(q^{\\frac{n}{2}}\\). This result generalizes two previous nonexistence results \\([n,q]=[1,2\\times 7]\\) of Pei (Lect Notes Pure Appl Math 141:165\u2013172, 1993) and \\([3,2\\times 23^e]\\) of Jiang and Deng (Des Codes Cryptogr 75:375\u2013385, 2015).  also remark that by using a same method one can get similar nonexistence results of GBFs from \\({\\mathbb {Z}}^n_2\\) to \\({\\mathbb {Z}}_m\\)."}]