| 在仿射等价类中找具有好的密码学性质的布尔函数 |
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| 引用本文： | CHEN Wei-hong LI Na. 在仿射等价类中找具有好的密码学性质的布尔函数[J]. 数学季刊, 2005, 20(4): 395-400 |
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| 作者姓名： | CHEN Wei-hong LI Na |
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| 作者单位： | Information Engineering Institute，Information Engineering University，Zhengzhou 450002，China |
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| 摘 要： | The Boolean functions in an affine equivalence class are of the same algebraic degree and nonlinearity, but may satisfy different order of correlation immunity and propagation criterion. A method is presented in this paper to find Boolean functions with higher order correlation immunity or satisfying higher order propagation criterion in an affine equivalence class. 8 AES s-box functions are not better Boolean functions in their affine equivalence class.
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| 关 键 词： | 布尔函数 Walsh光谱 密码学 仿射等价 AES |
| 文章编号： | 1002-0462（2005）04-0395-06 |
| 收稿时间： | 2003-09-17 |
Find Better Boolean Functions in the Affine Equivalence Class |
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| CHEN;Wei-hong;LI;Na. Find Better Boolean Functions in the Affine Equivalence Class[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 395-400 |
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| Authors: | CHEN Wei-hong LI Na |
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| Abstract: | The Boolean functions in an affine equivalence class are of the same algebraic degree and nonlinearity, but may satisfy different order of correlation immunity and propagation criterion. A method is presented in this paper to find Boolean functions with higher order correlation immunity or satisfying higher order propagation criterion in an affine equivalence class. 8 AES s-box functions are not better Boolean functions in their affine equivalence class. |
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| Keywords: | Boolean function Walsh spectra balance nonlinearity correlation immunity propagation criterion AES s-box |
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