| 对称相关免疫函数的构造 |
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| 引用本文： | 莫骄,温巧燕.对称相关免疫函数的构造[J].北京邮电大学学报,2008,31(3):59-62. |
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| 作者姓名： | 莫骄 温巧燕 |
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| 作者单位： | 北京邮电大学,理学院,北京,100876;北京邮电大学,理学院,北京,100876 |
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| 基金项目： | 国家高技术研究发展计划(863计划)，国家自然科学基金，北京市自然科学基金 |
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| 摘 要： | n元1阶对称相关免疫函数的构造等价于某个线性方程在二元域上的求解.通过求解该线性方程的等价方程，在5种情形下求出了该线性方程的部分解，从而在5种情形下构造出了部分n元1阶对称相关免疫函数.其中4种情形的构造是本文新提出的.
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| 关 键 词： | 对称函数 相关免疫函数 线性方程 |
| 收稿时间： | 2007-5-24 |
The Constructions of Symmetric Correlation Immune Functions |
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| MO Jiao,WEN Qiao-yan.The Constructions of Symmetric Correlation Immune Functions[J].Journal of Beijing University of Posts and Telecommunications,2008,31(3):59-62. |
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| Authors: | MO Jiao WEN Qiao-yan |
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| Affiliation: | School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| Abstract: | The construction of symmetric correlation immune functions with n variables is equivalent to the solution in the binary field for a certain linear equation. When solving the equivalent equation of this linear equation, a part of solutions for this linear equation will be found out in six cases. Numbers of symmetric correlation immune functions with n variables are constructed in these cases. Four of the six constructions are found firstly. |
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| Keywords: | symmetric functions correlation immune functions linear equation |
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