| 一类二阶代数免疫函数的结构 |
| |
| 引用本文： | 杜蛟,王守印.一类二阶代数免疫函数的结构[J].计算机工程与应用,2010,46(33):9-12. |
| |
| 作者姓名： | 杜蛟 王守印 |
| |
| 作者单位： | 1. 新乡学院,数学系,河南,新乡,453003;北京邮电大学,网络与交换技术国家重点实验室,北京,100876
2. 新乡学院,数学系,河南,新乡,453003 |
| |
| 基金项目： | 国家自然科学基金，河南省创新型科技人才队伍建设工程项目资助 |
| |
| 摘 要： | 对一阶代数免疫函数的结构进行了刻画，在此基础上讨论了一类二阶代数免疫布尔函数的构造问题，给出了两个n]元一阶代数免疫函数通过级联得到n]+1元二阶代数免疫函数的充分条件，并且给出了它们的若干结构和几个判断二阶代数免疫函数的判别准则。
|
| 关 键 词： | 布尔函数 零化子 代数免疫 密码学 |
| 收稿时间： | 2010-8-31 |
| 修稿时间： | 2010-10-29
|
Structure of Boolean functions with two order algebraic immunity |
| |
| DU Jiao,WANG Shou-yin.Structure of Boolean functions with two order algebraic immunity[J].Computer Engineering and Applications,2010,46(33):9-12. |
| |
| Authors: | DU Jiao WANG Shou-yin |
| |
| Affiliation: | DU Jiao1,2,WANG Shou-yin11.Department of Mathematics,Xinxiang University,Xinxiang,Henan 453003,China 2.State Key Lab of Networking & Switching Technology,Beijing University of Posts & Telecommunications,Beijing 100876,China |
| |
| Abstract: | The construction of one order algebraic immunity Boolean functions is given.Based on the research,the constructions of Boolean functions are studied with two order algebraic immunity,and some necessary and sufficient conditions are attained on how to concatenate two n variables Boolean functions with one order algebraic immunity to a Boolean function with two order algebraic immunity.Especially the constructions of them are given,and some criteria on how to judge a Boolean function with two order algebraic ... |
| |
| Keywords: | Boolean function annihilator algebraic immunity cryptography |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载全文 |
|
