New results on nonexistence of generalized bent functions
We obtain two kinds of new results on nonexistence of generalized bent functions (GBFs). Based on the results of Feng, Liu and Ma, we use Schmidts field descent method to get the first kind. For the second kind, we use both decomposition law in cyclotomic fields and bent requirements to prove that no GBFs with type \([3,\,2\cdot 23^{e}]\) exist.
generalized bent functions field descent method cyclotomic fields prime ideal factorization principal ideal ideal norm 11r04 94a15