Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Kwang-Yon Kim; Kum-Hyok Yun; Ryo-Myong Sim
- Contact information
- Kwang-Yon Kim: Faculty of Mathematics Kim Il Sung University (Pyongyang, Democratic People’s Republic of Korea); ; Kum-Hyok Yun: Faculty of Mathematics Kim Il Sung University (Pyongyang, Democratic People’s Republic of Korea); Ryo-Myong Sim: Faculty of Mathematics Kim Il Sung University (Pyongyang, Democratic People’s Republic of Korea)
- Keywords
- finite field; permutation polynomial; trinomial; trace function
- Abstract
In this paper, we extend two classes of permutation polynomials over Fpn , which have been considered previously, using affine trinomials and trace functions and then extend a previous class of permutation binomials over F22m . And we also construct three classes of permutation polynomials with the following Niho exponents; (s1, s2) = (−s, s), (s1, s2) = (s, 2s), (s1, s2) = ( 2m + 1 3 , 2 · 2m + 1 3 )
- Pages
- 834–843
- EDN
- YCTMSR
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/160124
Journal of Siberian Federal University. Mathematics & Physics / Constructing Several Permutation Polynomials by Trace Functions, Binomials and Trinomials
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