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


Autoria(s): Yuan, Jin; Ding, Cunsheng; Wang, Huaxiong; Pieprzyk, Josef
Data(s)

01/04/2008

Resumo

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.

Identificador

http://eprints.qut.edu.au/70077/

Publicador

Academic Press

Relação

http://www.sciencedirect.com/science/article/pii/S1071579707000354

DOI:10.1016/j.ffa.2007.05.003

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.

Direitos

Copyright 2007 Elsevier Inc.

Fonte

School of Electrical Engineering & Computer Science; Science & Engineering Faculty

Palavras-Chave #Permutation polynomials #Kloosterman polynomials
Tipo

Journal Article