The F1 classification conjecture for Niho type locally-APN power functions
Let n=2mn=2mn=2m. For integers r<mr<mr<m with gcd(r,m)=1\gcd(r,m)=1gcd(r,m)=1, define sss by … Set F1(x)=xs(2m−1)+1F_1(x)=x^{s(2^m-1)+1}F1(x)=xs(2m−1)+1 over F22m\mathbb{F}_{2^{2m}}F22m. A power function is Niho type locally-APN if it is both o…