• Communications of the Korean Mathematical Society
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• v.24 no.2
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• pp.171-180
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• 2009

In this paper, we give three criteria for non-polynomial functions interpolated from the set of univariate polynomials of degree less than m over a finite field to be a permutation on the same set.

• Communications of the Korean Mathematical Society
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• v.10 no.4
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• pp.823-829
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• 1995

In this paper, we prove that $x^{1+\frac{q-1}{5}} + ax (a \neq 0)$ is not a permutation polynomial over $F_{q^r} (r \geq 2)$ and we show some properties of $x^{1+\frac{q-1}{m}} + ax (a \neq 0)$ over $F_{q^r} (r \geq 2)$.