Permutation polynomials of the form (xp −x +δ)s +L(x)

Yuan, Jin, Ding, Cunsheng, Wang, Huaxiong, & Pieprzyk, Josef (2008) Permutation polynomials of the form (xp −x +δ)s +L(x). Finite Fields and Their Applications, 14(2), pp. 482-493.

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Abstract

Recently, several classes of permutation polynomials of the form (x2 + x + δ)s + x over F2m have been discovered. They are related to Kloosterman sums. In this paper, the permutation behavior of polynomials of the form (xp − x + δ)s + L(x) over Fpm is investigated, where L(x) is a linearized polynomial with coefficients in Fp. Six classes of permutation polynomials on F2m are derived. Three classes of permutation polynomials over F3m are also presented.

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ID Code: 70077
Item Type: Journal Article
Refereed: Yes
Keywords: Permutation polynomials, Kloosterman polynomials
DOI: 10.1016/j.ffa.2007.05.003
ISSN: 1071-5797
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2007 Elsevier Inc.
Deposited On: 10 Apr 2014 23:26
Last Modified: 23 Apr 2014 04:33

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