Existence of generalized bent functions in the exceptional $q\equiv 2(\mathrm{mod}4)$, odd-dimensional case

Jianing Li, Shi Ying, Shenxing Zhang

We resolve an open problem of Kumar, Scholtz, and Welch (1985) by constructing generalized bent functions from $(\mathbb{Z}/q\mathbb{Z}{)}^m$ to $\mathbb{Z}/q\mathbb{Z}$ in the excep…