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Title:
two applications of an incomplete additive character sum to estimating nonlinearity of boolean functions
Author: Du Yusong ; Zhang Fangguo
Source: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Conference Name: 13th International Conference on Information and Communications Security, ICICS 2011
Conference Date: November 2
Issued Date: 2011
Conference Place: Beijing, China
Keyword: Algebra ; Estimation ; Security of data
Indexed Type: EI
ISSN: 0302-9743
ISBN: 9783642252426
Department: (1) School of Information Science and Technology Sun Yat-sen University Guangzhou 510006 China; (2) Key Lab. of Network Security and Cryptology Fujian Normal University Fuzhou 350007 China; (3) State Key Laboratory of Information Security Institute of Software Chinese Academy of Sciences Beijing China
Sponsorship: National Natural Science Foundation of China (NNSFC); The Microsoft Corporation; Beijing Tip Technology Corporation; Trusted Computing Group (TCG)
Abstract: In recent years, several classes of Boolean functions with good cryptographic properties have been constructed by using univariate (or bivariate) polynomial representation of Boolean functions over finite fields. The estimation of an incomplete additive character sum plays an important role in analyzing the nonlinearity of these functions. In this paper, we consider replacing this character sum with another incomplete additive character sum, whose estimation was firstly given by A.Winterhof in 1999. Based on Winterhof's estimation, we try to modify two of these functions and obtain better nonlinearity bound of them. © 2011 Springer-Verlag.
English Abstract: In recent years, several classes of Boolean functions with good cryptographic properties have been constructed by using univariate (or bivariate) polynomial representation of Boolean functions over finite fields. The estimation of an incomplete additive character sum plays an important role in analyzing the nonlinearity of these functions. In this paper, we consider replacing this character sum with another incomplete additive character sum, whose estimation was firstly given by A.Winterhof in 1999. Based on Winterhof's estimation, we try to modify two of these functions and obtain better nonlinearity bound of them. © 2011 Springer-Verlag.
Language: 英语
Content Type: 会议论文
URI: http://ir.iscas.ac.cn/handle/311060/16195
Appears in Collections:软件所图书馆_会议论文

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Recommended Citation:
Du Yusong,Zhang Fangguo. two applications of an incomplete additive character sum to estimating nonlinearity of boolean functions[C]. 见:13th International Conference on Information and Communications Security, ICICS 2011. Beijing, China. November 2.
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