Explicit classes of permutation polynomials of $$mathbb{F}_{3^{3m} } $$ |
| |
| Authors: | CunSheng Ding Qing Xiang Jin Yuan PingZhi Yuan |
| |
| Affiliation: | (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, Sydney, NSW, 2109, Australia;(4) School of Mathematics, South China Normal University, Guangzhou, 510631, China |
| |
| Abstract: | 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  are presented. These polynomials have simple shapes, and they are related to planar functions. This work was supported by Australian Research Council (Grant No. DP0558773), National Natural Science Foundation of China (Grant No. 10571180) and the Research Grants Council of the Hong Kong Special Administrative Region of China (Grant No. 612405) |
| |
| Keywords: | permutation polynomials planar functions |
| 本文献已被 SpringerLink 等数据库收录！ |
|
