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Necessities and sufficiencies of a class of permutation polynomials over finite fields (1907.12086v1)
Published 28 Jul 2019 in cs.IT, math.IT, and math.NT
Abstract: For the finite field $\mathbb{F}_{2{3m}}$, permutation polynomials of the form $(x{2m}+x+\delta){s}+cx$ are studied. Necessary and sufficient conditions are given for the polynomials to be permutation polynomials. For this, the structures and properties of the field elements are analyzed.
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