Improved Lower Bounds for Permutation Arrays Using Permutation Rational Functions

23 Mar 2020 Sergey Bereg Brian Malouf Linda Morales Thomas Stanley I. Hal Sudborough

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 a field, called {\it permutation polynomials ($PPs$)}, have been the subject of research for decades... (read more)

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  • COMBINATORICS
  • INFORMATION THEORY
  • INFORMATION THEORY