dembowskiostrompolynomialsfromreverseddicksonpolynomials

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	dembowskiostrompolynomialsfromreverseddicksonpolynomials
	Zhang Xiaoming 1; Wu Baofeng 2; Liu Zhuojun1
刊名	journalofsystemsscienceandcomplexity
	2016
卷号	29 期号:1 页码:259
ISSN号	1009-6124
英文摘要	This paper gives a full classification of Dembowski-Ostrom polynomials derived from the compositions of reversed Dickson polynomials and monomials over finite fields of characteristic 2. The authors also classify almost perfect nonlinear functions among all such Dembowski-Ostrom polynomials based on a general result describing when the composition of an arbitrary linearized polynomial and a monomial of the form x~(1+2a) is almost perfect nonlinear. It turns out that almost perfect nonlinear functions derived from reversed Dickson polynomials are all extended affine equivalent to the well-known Gold functions.
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/45816]
专题	系统科学研究所
作者单位	1.中国科学院数学与系统科学研究院 2.中国科学院信息工程研究所
推荐引用方式 GB/T 7714	Zhang Xiaoming,Wu Baofeng,Liu Zhuojun. dembowskiostrompolynomialsfromreverseddicksonpolynomials[J]. journalofsystemsscienceandcomplexity,2016,29(1):259.
APA	Zhang Xiaoming,Wu Baofeng,&Liu Zhuojun.(2016).dembowskiostrompolynomialsfromreverseddicksonpolynomials.journalofsystemsscienceandcomplexity,29(1),259.
MLA	Zhang Xiaoming,et al."dembowskiostrompolynomialsfromreverseddicksonpolynomials".journalofsystemsscienceandcomplexity 29.1(2016):259.