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arXiv · 1912.04653

Permutation Polynomials with Carlitz Rank 2

Fabio Enrique Brochero Martínez·José Alves Oliveira
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Abstract

Let $\mathbb{F}_q$ denote the finite field with $q$ elements. The Carlitz rank of a permutation polynomial is a important measure of complexity of the polynomial. In this paper we find the sharp lower bound for the weight of any permutation polynomial with Carlitz rank $2$, improving the bound found by G\'omez-P\'erez, Ostafe and Topuzo\u{g}lu in that case.

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Fabio Enrique Brochero Martínez, José Alves Oliveira. 2019-12-10. Permutation Polynomials with Carlitz Rank 2. https://arxiv.org/abs/1912.04653

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