Low-degree permutation rational functions over finite fields

نویسندگان

چکیده

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 Micheli about the number such equivalence classes func

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ژورنال

عنوان ژورنال: Acta Arithmetica

سال: 2022

ISSN: ['0065-1036', '1730-6264']

DOI: https://doi.org/10.4064/aa210521-12-11