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	The lower bounds on the second order nonlinearity of three classes of boolean functions with high nonlinearity
	Sun, Guanghong1,2,3; Wu, Chuankun1
刊名	Information sciences
	2009-01-16
卷号	179期号:3页码:267-278
关键词	Boolean function Cryptography Nonlinearity Derivation Walsh coefficient Reed-muller code
ISSN号	0020-0255
DOI	10.1016/j.ins.2008.10.002
通讯作者	Sun, guanghong(sgh@is.iscas.ac.cn)
英文摘要	The rth order nonlinearity of boolean functions is an important cryptographic criterion associated with some attacks on stream and block ciphers. it is also very useful in coding theory, since it is related to the covering radii of reed-muller codes. this paper tightens the lower bounds of the second order nonlinearity of three classes of boolean functions in the form f(x) = tr(x(d)) in n variables, where (1) d = 2(m+1) + 3 and n = 2m, or (2) d = 2m + 2m+1/2 +1, n =2m and m is odd. or (3) d = 2(2r) + 2(r+1) + 1 and n = 4r. (c) 2008 elsevier inc, all rights reserved.
WOS关键词	BENT FUNCTIONS ; CONSTRUCTION
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000263708600005
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2403133
专题	中国科学院大学
通讯作者	Sun, Guanghong
作者单位	1.Chinese Acad Sci, State Key Lab Informat Secur, Inst Software, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China 3.Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China
推荐引用方式 GB/T 7714	Sun, Guanghong,Wu, Chuankun. The lower bounds on the second order nonlinearity of three classes of boolean functions with high nonlinearity[J]. Information sciences,2009,179(3):267-278.
APA	Sun, Guanghong,&Wu, Chuankun.(2009).The lower bounds on the second order nonlinearity of three classes of boolean functions with high nonlinearity.Information sciences,179(3),267-278.
MLA	Sun, Guanghong,et al."The lower bounds on the second order nonlinearity of three classes of boolean functions with high nonlinearity".Information sciences 179.3(2009):267-278.

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