New results on nonexistence of generalized bent functions

Abstract

We get two kinds of new results on nonexistence of generalized bent function. The first one is Based on Feng\u27s results by using Schmidt\u27s field descent method. For the second kind, considering special property of the field $\mathbb{Q}(\zeta_{23^e})$, We get new nonexistence results of generalized bent functions with type $[3,2\cdot23^e]$