| 布尔函数的代数免疫度与非线性度之间的关系 |
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| 引用本文： | 刘楠楠,赵凤. 布尔函数的代数免疫度与非线性度之间的关系[J]. 淮北煤炭师范学院学报(自然科学版), 2010, 31(4) |
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| 作者姓名： | 刘楠楠 赵凤 |
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| 作者单位： | 淮北师范大学数学科学学院,安徽淮北,235000 |
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| 摘 要： | 文章讨论布尔函数的代数免疫度和非线性度之间的关系,给出非线性度的下界与代数免疫度之间的关系,说明具有低非线性度的布尔函数的代数免疫度也很低,并把这个结果推广到高阶非线性度中.
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| 关 键 词： | 代数免疫度 非线性度 高阶非线性度 |
The Relationship between Algebraic Immunity Order and Nonlinearity of Boolean Function |
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| LIU Nan-nan,ZHAO Feng. The Relationship between Algebraic Immunity Order and Nonlinearity of Boolean Function[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2010, 31(4) |
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| Authors: | LIU Nan-nan ZHAO Feng |
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| Affiliation: | LIU Nan-nan,ZHAO Feng(School of Mathematical Science,Huaibei Normal University,235000,Huaibei,Anhui,China) |
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| Abstract: | The relationship between algebraic immunity order and nonlinearity of Boolean function are discussed in this paper.We give a result about the lower bound on nonlinearity with algebraic immunity and it is presented that a Boolean function having low nonliearity is(also) weak against algebraic attacks,and we extend this result to higher order nonliearities. |
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| Keywords: | algebraic immunity nonlinearity higher order nonliearity |
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