Dembowski-Ostrom polynomials from reversed Dickson polynomials

doi:10.1007/s11424-015-4110-4

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	Dembowski-Ostrom polynomials from reversed Dickson polynomials
	Zhang Xiaoming 1; Wu Baofeng 1,2; Liu Zhuojun1
	2016-02-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	29 期号:1 页码:259-271
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 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.
关键词	Almost perfect nonlinear function Dembowski-Ostrom polynomial linearized polynomial reversed Dickson polynomial
DOI	10.1007/s11424-015-4110-4
语种	英语
资助项目	National Basic Research Program of China[2011CB302400]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000370162300016
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22031
专题	系统科学研究所
通讯作者	Wu Baofeng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Informat Engn, State Key Lab Informat Secur, Beijing 100093, Peoples R China
推荐引用方式 GB/T 7714	Zhang Xiaoming,Wu Baofeng,Liu Zhuojun. Dembowski-Ostrom polynomials from reversed Dickson polynomials[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2016,29(1):259-271.
APA	Zhang Xiaoming,Wu Baofeng,&Liu Zhuojun.(2016).Dembowski-Ostrom polynomials from reversed Dickson polynomials.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,29(1),259-271.
MLA	Zhang Xiaoming,et al."Dembowski-Ostrom polynomials from reversed Dickson polynomials".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 29.1(2016):259-271.