Name
Title | ||
|---|---|---|
A recursive construction of permutation polynomials over $${\mathbb {F}}_{q^2}$$Fq2 with odd characteristic related to Rédei functions |
Abstract | ||
|---|---|---|
AbstractIn this paper, we construct two classes of permutation polynomials over $${\mathbb {F}}_{q^2}$$Fq2 with odd characteristic closely related to rational Rédei functions. Two distinct characterizations of their compositional inverses are also obtained. These permutation polynomials can be generated recursively. As a consequence, we can generate permutation polynomials with an arbitrary number of terms in a very simple way. Moreover, several classes of permutation binomials and trinomials are given. With the help of a computer, we find that the number of permutation polynomials of these types is quite big. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10623-018-0548-4 | Periodicals |
Keywords | DocType | Volume |
Finite fields,Permutation polynomials,Compositional inverse,Redei functions,Dickson polynomials | Journal | 87 |
Issue | ISSN | Citations |
7 | 0925-1022 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shihui Fu | 1 | 0 | 0.34 |
| Xiutao Feng | 2 | 0 | 0.68 |
| Dongdai Lin | 3 | 14 | 11.50 |
| Qiang Wang | 4 | 237 | 37.93 |