| 密码函数的非线性度和扩散性 |
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| 引用本文： | 王章雄,宋述刚,王一举. 密码函数的非线性度和扩散性[J]. 长江大学学报(社会科学版), 2001, 24(5): 20-22 |
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| 作者姓名： | 王章雄 宋述刚 王一举 |
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| 作者单位： | 1. 荆州师范学院数学系,434104
2. 荆州师范学院信息科学学院,434104 |
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| 基金项目： | 湖北省教育厅重点科研计划资助 (99A0 91 ) |
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| 摘 要： | 非线性度和扩散性是布尔函数的两个重要的密码特性 ,Pieprzyk,Preneel及Seber ry等人分别对此作了许多研究 .本文用平均偏差来描述函数的整体扩散性 ,用内积作为函数间距离的一种度量 ,从总体上研究扩散性与非线性度 ,得到这两个指标之间的几个关联式
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| 关 键 词： | 非线性度 扩散性 Bent函数 仿射函数 平方平均偏差 |
| 文章编号： | 1003-8019(2001)05-0020-03 |
| 修稿时间： | 2000-12-26 |
RELATIONSHIP BETWEEN NONLINEARITIES AND PROPAGATION CHARACTERISTICS OF CRYPTOGRAPHIC FUNCTIONS |
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| Wang Zhangxiong,Song Shugang,Wang Yiju. RELATIONSHIP BETWEEN NONLINEARITIES AND PROPAGATION CHARACTERISTICS OF CRYPTOGRAPHIC FUNCTIONS[J]. Journal of Yangtze University(Social Sciences), 2001, 24(5): 20-22 |
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| Authors: | Wang Zhangxiong Song Shugang Wang Yiju |
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| Affiliation: | Wang Zhangxiong+1 Song Shugang+1 Wang Yiju+2 |
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| Abstract: | Nonlinearity and propagation characteristics are two important cryptographic properties of Boolean functions which had been studied apart by J Pieprzyk,B Preneel,etc.In the paper,some concepts about"average" are introduced and the relationship between the nonlinearities and propagation characteristics is discussed,and therefore some connections are found. |
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| Keywords: | nonlinearity propagation characteristic Bent function affine function square average difference |
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