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Permutation polynomials on F_q induced from bijective Redei functions on subgroups of the multiplicative group of F_q

Published 2 Oct 2013 in math.NT, cs.IT, math.CO, and math.IT | (1310.0776v2)

Abstract: We construct classes of permutation polynomials over F_{Q2} by exhibiting classes of low-degree rational functions over F_{Q2} which induce bijections on the set of (Q+1)-th roots of unity in F_{Q2}. As a consequence, we prove two conjectures about permutation trinomials from a paper by Tu, Zeng, Hu and Li.

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