New Classes of Ternary Bent Functions from the Coulter-Matthews Bent Functions

Honggang Hu, Xiaolong Yang, Shaohua Tang

It has been an active research issue for many years to construct new bent functions. For $k$ odd with $\gcd (n,k)=1$, and $a\in {\mathbb{F}}_{3^n}^{\ast }$, the function $f(x)=Tr(ax^{\fra…