Zhiguo Ding, Michael E. Zieve
Abstract
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We determine all degree-$4$ rational functions $f(X)\in \mathbb {F}_q(X)$ which permute $\mathbb {P}^1(\mathbb {F}_q)$, and answer two questions of Ferraguti and Micheli about the number of such functions and the number of equivalence classes of such func
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We determine all degree-$4$ rational functions $f(X)\in \mathbb {F}_q(X)$ which permute $\mathbb {P}^1(\mathbb {F}_q)$, and answer two questions of Ferraguti and Micheli about the number of such functions and the number of equivalence classes of such func
Key concepts: Mathematics, Degree (music), Rational function, Permutation (music), Combinatorics, Finite field, Equivalence (formal languages), Discrete mathematics