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Permutation polynomials with exponents in an arithmetic progression

Published online by Cambridge University Press:  17 April 2009

Young Ho Park  and
June Bok Lee
Young Ho Park
Affiliation:
Department of MathematicsKangwon National UniversityChuncheon 200–701Korea
June Bok Lee
Affiliation:
Department of MathematicsYonsei UniversitySeoul 120–749Korea
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Abstract

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We examine the permutation properties of the polynomials of the type hk, r, s(x) = xr (1 + xs + … + xsk) over the finite field , of characteristic p. We give sufficient and necessary conditions in terms of k and r for hk, r, l(x) to be a permutation polynomial over , for q = p or p2. We also prove that if hk, r, s(x) is a permutation polynomial over , then (k + 1)s = ±1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 2 , April 1998 , pp. 243 - 252
Copyright
Copyright © Australian Mathematical Society 1998

References

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