| 利用级联方法构造的布尔函数 |
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| 引用本文： | 董新锋,宋云芬,张文政. 利用级联方法构造的布尔函数[J]. 信息安全与通信保密, 2012, 0(5): 81-83 |
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| 作者姓名： | 董新锋 宋云芬 张文政 |
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| 作者单位： | 1. 保密通信重点实验室,四川成都,610041
2. 四川理工学院理学院,四川自贡,643000 |
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| 基金项目： | 保密通信重点实验室基金资助项目 |
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| 摘 要： | 级联构造作为布尔函数的主要构造方法之一,具有结构简单、实现快速灵活等优点,被广泛用于构造实用的布尔函数。文中给出了一种通过迭代来构造密码学性质好的布尔函数的级联方法,详细测试了这类函数主要的密码学性质及代数正规型项数,并从理论上分析了构造的这类函数能够具有平衡性、最优的代数次数、高非线性度、高的代数免疫阶等多种好的密码性质。文中的结果表明,提出的级联构造方法能够用于构造密码学性质良好的布尔函数。
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| 关 键 词： | 布尔函数 级联构造 代数免疫阶 非线性度 |
Boolean Functions Constructed by Concatenate Construction Method |
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| DONG Xin-feng,SONG Yun-fen,ZHANG Wen-zheng. Boolean Functions Constructed by Concatenate Construction Method[J]. China Information Security, 2012, 0(5): 81-83 |
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| Authors: | DONG Xin-feng SONG Yun-fen ZHANG Wen-zheng |
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| Affiliation: | 1Science and Technology on Communication Security Laboratory, Chengdu Sichuan 610041, China; 2School of Science, Sichuan University of Science ＆ Engineering, Zigong Sichuan 643000, China) |
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| Abstract: | Concatenate construction, as one of the principal methods for constructing Boolean functions, is simple in structure and fast in implementation. This paper gives an iterative method of concatenate construction, and a detailed test on its important cryptographic properties is also done. The theoretical analysis on indicates that these Boolean functions constructed by this method are of fairly good crypto properties, including balance, optimum algebraic degree, high nonXinearity, high algebraic immunity etc. Experiment shows that the proposed concatenate construction method could be used in constructing Boolean functions with good crypto properties. |
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| Keywords: | Boolean functions concatenate construction algebraic immunity nonlinearity |
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