Linear Permutation
We call a linearized polynomial \(L(x)\) on \(\mathbb{F}_q\) a linear permutation if the evaluation map
\[ c \rightarrow L(c) \]permutes \(\mathbb{F}_q\).
We call a linearized polynomial \(L(x)\) on \(\mathbb{F}_q\) a linear permutation if the evaluation map
\[ c \rightarrow L(c) \]permutes \(\mathbb{F}_q\).