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.
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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|Item Type:||Journal Article|
|Keywords:||Permutation polynomials, Kloosterman polynomials|
|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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