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Am-permutation polynomials

Part of: Finite fields and commutative rings (number-theoretic aspects)

Published online by Cambridge University Press:  09 April 2009

Sangtae Jeong
Sangtae Jeong
Affiliation:
Department of Mathematics, Inha University, Incheon 402–751, Korea, e-mail: stj@math.inha.ac.kr
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Abstract

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We introduce a class of polynomials which induce a permutation on the set of polynomials in one variable of degree less than m over a finite field. We call then Am-permutation polynomials. We also give three criteria to characterize such polynomials.

Keywords

Am-permutation polynomials(extended) Hermite-Dickson criterionCarlitz polynomials.

MSC classification

Secondary: 11T06: Polynomials 11T55: Arithmetic theory of polynomial rings over finite fields
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 80 , Issue 2 , April 2006 , pp. 149 - 158
Copyright
Copyright © Australian Mathematical Society 2006

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