| 偶变元MAI旋转对称布尔函数 |
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| 引用本文： | 董德帅,李超,屈龙江,付绍静.偶变元MAI旋转对称布尔函数[J].国防科技大学学报,2012,34(4):85-89. |
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| 作者姓名： | 董德帅 李超 屈龙江 付绍静 |
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| 作者单位： | 1. 国防科技大学理学院,湖南长沙,410073
2. 国防科技大学计算机学院,湖南长沙,410073 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 代数免疫度是布尔函数的一个重要密码学指标.给出了具有最大代数免疫度的偶数元旋转对称布尔函数的两种构造方法.进一步地,研究了特殊情形时所构造的旋转对称布尔函数的非线性度,当n≥18时,构造3得到的MAI旋转对称布尔函数的非线性度优于已知构造的偶数元MAI旋转对称布尔函数的非线性度.
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| 关 键 词： | 布尔函数 旋转对称对布尔函数 代数免疫度 非线性度 |
| 收稿时间： | 2012/1/10 0:00:00 |
Rotation symmetric Boolean functions in even-variable with maximum algebraic immunity |
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| DONG Deshuai,LI Chao,QU Longjiang and FU Shaojing.Rotation symmetric Boolean functions in even-variable with maximum algebraic immunity[J].Journal of National University of Defense Technology,2012,34(4):85-89. |
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| Authors: | DONG Deshuai LI Chao QU Longjiang and FU Shaojing |
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| Institution: | 1.College of Science,National University of Defense Technology,Changsha 410073,China; 2.College of Computer,National University of Defense Technology,Changsha 410073,China) |
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| Abstract: | Algebraic immunity has been considered as one of significant properties for Boolean functions.Two constructions of rotation symmetric Boolean functions(RSBFs) in even-variable with maximum algebraic immunity(MAI) were proposed.Furthermore,the nonlinearity of constructed RSBFs were investigated under special cases of Construction 2.When n≥18,the constructed MAI RSBFs by using Construction 3 have higher nonlinearity than that of all known MAI RSBFs in even-variable. |
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| Keywords: | Boolean functions rotation symmetric Boolean functions algebraic immunity nonlinearity |
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