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Some results on the algebraic immunity of Boolean functions
  • ISSN号：1005-8885
  • 期刊名称：《中国邮电高校学报：英文版》
  • 时间：0
  • 分类：TP391[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术] O153.2[理学—数学;理学—基础数学]
  • 作者机构：[1]Software Engineering Institute, East Normal University, Shanghai 200062, China
  • 相关基金：Acknowledgements This work was supported by the National Natural Science Foundation of China （10871068, 61021004）, and DNRF-NSFC Joint （11061130539）.
作者： XU Li-qing CHEN hao[1]
关键词： 布尔函数, 代数攻击, 免疫, 旋转对称, 人工智能, 块密码, 星期, AI, algebraic attack, Boolean function, AI, symmetric Boolean function, rotation symmetric Boolean function
中文摘要：

从对溪流和块零的代数学的攻击的动机，布尔功能的代数学的免疫(AI ) 的概念广泛地被介绍并且学习。高代数学的免疫是为抵抗代数学的攻击的一个必要条件。在这份报纸，我们在布尔功能的代数学的免疫上给一些更低的界限。结果被使用在对称的布尔功能和旋转的 AI 上给更低的界限对称的布尔功能。有他们可能的最大值附近的 AI 的对称的布尔函数珍视的某平衡旋转(n/2 (被构造。

英文摘要：

From the motivation of algebraic attacks on stream and block ciphers,the concept of algebraic immunity（AI） of a Boolean function was introduced and studied extensively.High algebraic immunity is a necessary condition for resisting algebraic attacks.In this paper,we give some lower bounds on the algebraic immunity of Boolean functions.The results are applied to give lower bounds on the AI of symmetric Boolean functions and rotation symmetric Boolean functions.Some balanced rotation symmetric Boolean functions with their AI near the maximum possible value「n/2」are constructed.

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期刊信息
  • 《中国邮电高校学报：英文版》
  • 主管单位:高教部
  • 主办单位:北京邮电大学、南邮、重邮、西邮、长邮、石邮
  • 主编：LU Yinghua
  • 地址：北京231信箱（中国邮电大学）
  • 邮编：100704
  • 邮箱：jchupt@bupt.edu.cn
  • 电话：010-62282493
  • 国际标准刊号：ISSN：1005-8885
  • 国内统一刊号：ISSN：11-3486/TN
  • 邮发代号:2-629
  • 获奖情况:
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  • 被引量:127