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A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity

文献类型：期刊论文

作者Tu, Ziran1,2; Deng, Yingpu1,3
刊名DESIGNS CODES AND CRYPTOGRAPHY
出版日期2011-07-01
卷号60期号:1页码:1-14
关键词Boolean function Algebraic immunity Bent function Balancedness Nonlinearity Algebraic degree
ISSN号0925-1022
DOI10.1007/s10623-010-9413-9
英文摘要In this paper, a combinatorial conjecture about binary strings is proposed. Under the assumption that the proposed conjecture is correct, two classes of Boolean functions with optimal algebraic immunity can be obtained. The functions in first class are bent, and then it can be concluded that the algebraic immunity of bent functions can take all possible values except one. The functions in the second class are balanced, and they have optimal algebraic degree and the best nonlinearity up to now.
资助项目NNSF of China[60821002] ; NNSF of China[10971250]
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000290172100001
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12184]  
专题系统科学研究所
通讯作者Deng, Yingpu
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
2.Henan Univ Sci & Technol, Fac Sci, Luoyang 471003, Peoples R China
3.Chinese Acad Sci, Grad Univ, State Key Lab Informat Secur, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Tu, Ziran,Deng, Yingpu. A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity[J]. DESIGNS CODES AND CRYPTOGRAPHY,2011,60(1):1-14.
APA Tu, Ziran,&Deng, Yingpu.(2011).A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity.DESIGNS CODES AND CRYPTOGRAPHY,60(1),1-14.
MLA Tu, Ziran,et al."A conjecture about binary strings and its applications on constructing Boolean functions with optimal algebraic immunity".DESIGNS CODES AND CRYPTOGRAPHY 60.1(2011):1-14.

入库方式： OAI收割

来源：数学与系统科学研究院

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