Explicit classes of permutation polynomials of F_3^(3m)  

作　　者：DING CunSheng1, XIANG Qing2, YUAN Jin3 & YUAN PingZhi4 1 Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong, China 2 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA 3 Department of Computing, Macquarie University, NSW 2109, Australia 4 School of Mathematics, South China Normal University, Guangzhou 510631, China 

出　　处：《Science China Mathematics》2009年第4期639-647,共9页中国科学：数学（英文版）

基　　金：supported by Australian Research Council (Grant No. DP0558773);National Natural Science Foundation of China (Grant No. 10571180);the Research Grants Council of the Hong Kong Special Admin-istrative Region of China (Grant No. 612405)

摘　　要：Permutation polynomials have been an interesting subject of study for a long time and have applications in many areas of mathematics and engineering. However, only a small number of specific classes of permutation polynomials are known so far. In this paper, six classes of linearized permutation polynomials and six classes of nonlinearized permutation polynomials over F33m are presented. These polynomials have simple shapes, and they are related to planar functions.Permutation polynomials have been an interesting subject of study for a long time and have applications in many areas of mathematics and engineering. However, only a small number of specific classes of permutation polynomials are known so far. In this paper, six classes of linearized permutation polynomials and six classes of nonlinearized permutation polynomials over F33m are presented. These polynomials have simple shapes, and they are related to planar functions.

关 键 词：PERMUTATION POLYNOMIALS PLANAR FUNCTIONS 

分 类 号：O174.14[理学—数学]