On permutation polynomials over finite fields of characteristic 2

被引：1
|
作者：
Gupta, Rohit [1 ]
Sharma, R. K. [1 ]
机构：
[1] Indian Inst Technol, Dept Math, New Delhi 110016, India
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 07期
关键词：
Finite field; permutation polynomial;
D O I：
10.1142/S0219498816501334
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let F-2t denotes the finite field of order 2(t) where t > 1. A permutation polynomial f(x) over F-2t with f(0) = 0 and f(1) = 1 such that for each v is an element of F-2t, f(v)(x) = f(x+v)+ f(v)/x is a permutation polynomial satisfying fv(0) = 0 is called a o-polynomial. In this paper, we determine all o-polynomials up to degree 8.
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页数：7
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