| 广义Maiorana-McFarland布尔函数及其密码特性 |
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| 引用本文： | 王立鹏,常祖领,陈鲁生. 广义Maiorana-McFarland布尔函数及其密码特性[J]. 北京邮电大学学报, 2006, 29(3): 57-60 |
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| 作者姓名： | 王立鹏 常祖领 陈鲁生 |
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| 作者单位： | 南开大学,数学科学学院,天津,300071;北京邮电大学,理学院,北京,100876 |
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| 摘 要： | 定义了一类广义M-M函数，给出了它的Walsh谱的表达式， 代数次数和非线性度的界， 以及它是平衡函数， 相关免疫函数和resilient函数的充分条件。
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| 关 键 词： | 布尔函数 非线性度 平衡性 相关免疫性 |
| 文章编号： | 1007-5321（2006）03-0057-04 |
| 收稿时间： | 2005-05-08 |
| 修稿时间： | 2005-05-08 |
Extended Maiorana-McFarland Boolean Functions and Cyptography Property |
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| WANG Li-peng,CHANG Zu-ling,CHEN Lu-sheng. Extended Maiorana-McFarland Boolean Functions and Cyptography Property[J]. Journal of Beijing University of Posts and Telecommunications, 2006, 29(3): 57-60 |
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| Authors: | WANG Li-peng CHANG Zu-ling CHEN Lu-sheng |
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| Affiliation: | 1. College of Mathematical Science， Nankai University， Tianjin 300071;
2. School of Science， Beijing University of Posts and Telecommunications， Beijing 100876 |
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| Abstract: | A class of extended Maiorana-McFarland(M-M) functions is defined.It is proposed that the expression of its Walsh spectrum and the bound of its algebra degree.It is as well as proved that the M-M functions is the sufficient condition of the balanced functions,correlation immune functions and resilient functions. |
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| Keywords: | boolean functions nonlinearity balanced correlation immune resilient functions |
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