| 布尔函数代数免疫度的研究 |
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| 引用本文： | 马陵勇,崇金凤,卓泽朋. 布尔函数代数免疫度的研究[J]. 计算机工程与应用, 2013, 49(12): 84-85 |
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| 作者姓名： | 马陵勇 崇金凤 卓泽朋 |
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| 作者单位： | 1.东莞理工学院城市学院 计算机与信息科学系，广东 东莞 5231062.淮北师范大学 数学科学学院，安徽 淮北 2350003.西安电子科技大学 综合业务网理论及关键技术国家重点实验室，西安 710071 |
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| 摘 要： | 代数免疫度是度量布尔函数抵抗代数攻击的重要指标。为了抗代数攻击，布尔函数应具有较高的代数免疫度。对于给定的奇数n，得到一个具有最大代数免疫度的布尔函数重量的可除性结果，同时，在任意有限域上，针对关系式fg=h，研究了它的代数免疫度，给出了一些重要结果。
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| 关 键 词： | 代数攻击 布尔函数 代数免疫度 有限域 零化子 |
Research on algebraic immunity of Boolean function |
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| MA Lingyong,CHONG Jinfeng,ZHUO Zepeng. Research on algebraic immunity of Boolean function[J]. Computer Engineering and Applications, 2013, 49(12): 84-85 |
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| Authors: | MA Lingyong CHONG Jinfeng ZHUO Zepeng |
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| Affiliation: | 1.Department of Computer and Information Sciences, City College of Dongguan University of Technology, Dongguan, Guangdong 523106, China2.School of Mathematical Science, Huaibei Normal University, Huaibei, Anhui 235000, China3.National Key Laboratory of Integrated Service Network, Xidian University, Xi’an 710071, China |
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| Abstract: | Algebraic immunity measures the resistance of a Boolean function against algebraic attack. To resist algebraic attack, a Boolean function should possess high algebraic immunity. This paper, for an odd integer n, obtains the divisibility result on the weight of Boolean function with maximum possible algebraic immunity. It also studies the relationship fg=h over arbitrary finite field, and presents some interesting results. |
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| Keywords: | algebraic attack Boolean function algebraic immunity finite field annihilator |
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