2 problems

Let $k$ be odd, let $e$ be the exponent used in the closed butterfly structure, and let $\mathsf{V}_{e}^{\alpha}$ denote the corresponding map on $\mathbb{F}_{2^k}^2$, with coeffic…

Let $k$ be odd, and consider the butterfly structures over $\mathbb{F}_{2^{2k}}$ with exponent $e=3\times 2^t$, whose nonlinearity has been verified experimentally to equal…