Permutation polynomials of the type $$x^rg(x^{s})$$ over $${\mathbb {F}}_{q^{2n}}$$Fq2n |
| |
Authors: | Daniele Bartoli Luciane Quoos |
| |
Institution: | 1.Dipartimento di Matematica e Informatica,Università degli Studi di Perugia,Perugia,Italy;2.Instituto de Matemática,Universidade Federal do Rio de Janeiro,Rio de Janeiro,Brazil |
| |
Abstract: | We provide some new families of permutation polynomials of \({\mathbb {F}}_{q^{2n}}\) of the type \(x^rg(x^{s})\), where the integers r, s and the polynomial \(g \in {\mathbb {F}}_qx]\) satisfy particular restrictions. Some generalizations of known permutation binomials and trinomials that involve a sort of symmetric polynomials are given. Other constructions are based on the study of algebraic curves associated to certain polynomials. In particular we generalize families of permutation polynomials constructed by Gupta–Sharma, Li–Helleseth, Li–Qu–Li–Fu. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|