Permutation polynomials on F_q induced from bijective Redei functions on subgroups of the multiplicative group of F_q
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We construct classes of permutation polynomials over F_{Q^2} by exhibiting classes of low-degree rational functions over F_{Q^2} which induce bijections on the set of (Q+1)-th roots of unity in F_{Q^2}. As a consequence, we prove two conjectures about permutation trinomials from a recent paper by Tu, Zeng, Hu and Li.
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Cited by 3 Pith papers
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A new construction of permutation polynomials over $\mathbb{F}_{q^3}$
New families of permutation polynomials over F_{q^3} are constructed via a systematic method, with all members of prior families classified and generalizations of existing conjectures resolved.
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Explicit determination of a class of permutation rational functions in any characteristic
Explicit descriptions are obtained for a class of low-degree rational functions permuting μ_{q+1} over finite fields in any characteristic, producing many permutation quadrinomials over F_{q^2}.
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On two-to-one mappings over finite fields
The authors characterize 2-to-1 mappings over finite fields via Walsh transforms, give multiple constructions, and apply them to bent functions, semi-bent functions, and permutation polynomials.
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