A note on the differential spectrum of a class of locally APN functions

Haode Yan, Ketong Ren

Let $\gf_{p^n}$ denote the finite field containing $p^n$ elements, where $n$ is a positive integer and $p$ is a prime. The function $f_u(x)=x^{\frac{p^n+3}{2}}+u{x}^2$ over $\gf_{p^n…