Nonexistence of two classes of generalized bent functions

Abstract

We obtain new nonexistence results of generalized bent functions from $\{Z^n}_q$ 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 generalize the previous two scattered nonexistence results $[n,q]=[1,2\times 7]$ of Pei \cite{Pei} and $[3,2\times 23^e]$ of Jiang-Deng \cite{J-D} to a generalized class. In the last section, we remark that this method can apply to the GBF from ${\mathbb{Z}}_2^n$ to ${\mathbb{Z}}_m$.

Cited by in corpus (1)

• On the Non-existence of certain classes of generalized bent functions