Article ID Journal Published Year Pages File Type
4583269 Finite Fields and Their Applications 2008 12 Pages PDF
Abstract

Recently, several classes of permutation polynomials of the form s(x2+x+δ)+x over Fm2 have been discovered. They are related to Kloosterman sums. In this paper, the permutation behavior of polynomials of the form s(xp−x+δ)+L(x) over Fpm is investigated, where L(x) is a linearized polynomial with coefficients in Fp. Six classes of permutation polynomials on Fm2 are derived. Three classes of permutation polynomials over Fm3 are also presented.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory