Improved Lower Bounds for Permutation Arrays Using Permutation Rational Functions

Sergey Bereg, Brian Malouf, Linda Morales +2

We consider rational functions of the form $V(x)/U(x)$, where both $V(x)$ and $U(x)$ are polynomials over the finite field ${\mathbb{F}}_q$. Polynomials that permute the elements of…