Four classes of permutation polynomials of F2m

Authors:
Jin Yuan;Cunsheng Ding
Affiliations:
Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
Venue:
Finite Fields and Their Applications
Year:
2007

Citing 4
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Abstract

Permutation polynomials have been a subject of study for over 140 years and have applications in many areas of science and engineering. However, only a handful of specific classes of permutation polynomials are known so far. In this paper we describe four classes of permutation polynomials over F"2"^"m. Two of the four classes have the same form, while the other two classes are of different forms. Our work is motivated by a recent paper by Helleseth and Zinoviev.