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具有最高代数免疫阶的布尔函数的构造
  • ISSN号：1007-5321
  • 期刊名称：《北京邮电大学学报》
  • 时间：0
  • 分类：TN911.22[电子电信—通信与信息系统;电子电信—信息与通信工程]
  • 作者机构：[1]北京邮电大学理学院,北京100876, [2]北京邮电大学网络与交换技术国家重点实验室,北京100876
  • 相关基金：国家自然科学基金项目（60873191;60821001）;北京市自然科学基金项目（4072020）
作者： 莫骄[1], 温巧燕[2]
关键词： 布尔函数, 非零零化子, 代数标准型, 代数免疫阶, Boolean functions, nonzero annihilators, algebraic standard form, algebraic immunity
中文摘要：

利用布尔函数的代数标准型,总结了f与f＋1具有高次数非零零化子的条件,得到布尔函数具有最高代数免疫阶的充分条件.构造了具有最高代数免疫阶的布尔函数,并对所构造函数的平衡性与对称性进行了讨论.

英文摘要：

Based on the algebraic standard form of Boolean functions, the conditions satisfied by Boolean function f or f ＋ 1 with high degree nonzero annihilators are summarized, the sufficient conditions satisfied by the Boolean functions with optimal algebraic immunity are therefore obtained. The Boolean functions with optimal algebraic immunity are constructed. The balance and the symmetry of the constructed functions are discussed.

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期刊信息
  • 《北京邮电大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:北京邮电大学
  • 主编：刘杰
  • 地址：北京海淀区西土城路10号195信箱
  • 邮编：100876
  • 邮箱：byxb@bupt.edu.cn
  • 电话：010-62281995 62282742
  • 国际标准刊号：ISSN：1007-5321
  • 国内统一刊号：ISSN：11-3570/TN
  • 邮发代号:2-648
  • 获奖情况:
  • 美国工程信息公司（Ei）数据库收录期刊,1999年全国优秀高等学校自然科学学报及教育部优秀...,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国剑桥科学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:7684