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高非线性度n-输入m-输出布尔函数的一般构造方法(英文) 被引量：1

Generalized Construction of n-input m-output Boolean Functions with High Nonlinearity
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摘要 给出一种构造具有高非线性度n-输入m-输出布尔函数的一般方法,还给出了存在非线性度是非0的n-输入m-输出布尔函数的一个充要条件. This paper presents one generalized construction of n-input m-output Boolean functions with high nonliearity. It also gives the sufficient and necessary conditions for existing n-input m-output Boolean function whose nonliearity is nonzero.
作者 常祖领 陈鲁生 符方伟
机构地区 南开大学数学科学学院
出处 《南开大学学报（自然科学版）》 CAS CSCD 北大核心 2005年第3期29-33,共5页 Acta Scientiarum Naturalium Universitatis Nankaiensis
基金 supported by NNSF of China (60162060), and the trans-century training program foundation forthe talents by the education ministry of china, and the foundation for university key teascher by theeducation ministry of china
关键词 布尔函数 非线性度 Reed—Muller码 Boolean function nonlinearity Reed-Muller code
分类号 TN911 [电子电信—通信与信息系统]
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参考文献6

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同被引文献9

  • 1REN Kui,PARK Jaemin,KIM Kwangjo.On the construction of cryptographically strong Boolean functions with desirable trade-off[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2005,6(5):358-364. 被引量：1
  • 2郭锦辉,李世取.布尔函数扩散性的矩阵刻画[J].电子与信息学报,2006,28(4):712-716. 被引量：2
  • 3Preneel B, Leekwijck W V, Linden L V, Govaerts R, and Vandewalle J. Propagation characteristics of Boolean functions [C]. Advances in Cryptology-EuroCrypt'90, Spring, Berlin, 1991: 161-173.
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  • 6Son J J, Lim J I, Chee S, and Sung S H. Global avalanche characteristics and nonlinearity of balanced Boolean function [J]. Information Processing Letters, 1998, 65: 139-144.
  • 7Sung S H, Chee S, and Park C. Global avalanche characteristics and propagation criterion of balanced Boolean functions [J]. Information Processing Letters, 1999, 69: 21-24.
  • 8Stanica P and Sung S H. Improving the nonlinearity of certain balanced Boolean functions with good local and global avalanche characteristics [J]. Information Processing Letters, 2001, 79: 167-172.
  • 9Carlet C. The complexity of Boolean functions from cryptographic viewpoint[J], http:// drops.dagstuhl.de/opus /volltexte/2006/604.

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南开大学学报（自然科学版）
2005年 第3期

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