| 一类多输出函数研究 |
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| 引用本文： | 徐述,陈连俊. 一类多输出函数研究[J]. 数学进展, 2010, 0(3) |
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| 作者姓名： | 徐述 陈连俊 |
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| 作者单位： | 中国人民解放军信息工程大学电子技术学院;武汉大学计算机学院; |
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| 摘 要： | 本文研究和讨论了作为多输出函数的N级模2~M背包变换平衡特性,给出了N级模2~M平衡背包变换的结构、计数和函数性质,指出了N级模2~M平衡背包变换本身作为密码变换函数存在着除了第M路外,所有各路的输出函数都是不完全函数的弱点,从而得出了背包变换是密码学弱函数的结论.
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| 关 键 词： | 多输出函数 N级模2~M背包变换 平衡性 密码学弱函数 |
Research on a Class of Multi-outputs Function |
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| XU Shu,CHEN Lianjun. Research on a Class of Multi-outputs Function[J]. Advances in Mathematics(China), 2010, 0(3) |
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| Authors: | XU Shu CHEN Lianjun |
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| Affiliation: | XU Shu~1,CHEN Lianjun~2 (1.Institute of Electrionic Technology,The PLA Information Enginerring Univ.,Zhengzhou,Henan,450004,P.R.China,2.College of Computer,Wuhan Univ.,Wuhan,Hubei,430072,P.R.China) |
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| Abstract: | This paper researches the balance characteristics of the N grades knapsack transformation over mod 2~M which is used as a multi-outputs function,the structure and the number and the function properties of the N grades knapsack transformation over mod 2~M are presented,and the weakness which every output function isn't complete except M'th output function is pointed out.So,the conclusion which the knapsack transformation is cryptographic weak function is drawn. |
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| Keywords: | multi-outputs function N grades knapsack transformation over mod 2~M balance cryptographic weak function |
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