On Sum-Free Functions

Alyssa Ebeling, Xiang-dong Hou, Ashley Rydell +1

A function from ${\mathbb{F}}_{2^n}$ to ${\mathbb{F}}_{2^n}$ is said to be {\em $k$th order sum-free} if the sum of its values over each $k$-dimensional ${\mathbb{F}}_2$-affine subspace of $\Bbb F_{…