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Dembowski-Ostrom polynomials from reversed Dickson polynomials

文献类型：期刊论文

作者Zhang Xiaoming1; Wu Baofeng1,2; Liu Zhuojun1
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2016-02-01
卷号29期号:1页码:259-271
关键词Almost perfect nonlinear function Dembowski-Ostrom polynomial linearized polynomial reversed Dickson polynomial
ISSN号1009-6124
DOI10.1007/s11424-015-4110-4
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 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.
资助项目National Basic Research Program of China[2011CB302400]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000370162300016
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22030]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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