Emergent Mind
Necessities and sufficiencies of a class of permutation polynomials over finite fields
(1907.12086)
Published Jul 28, 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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