计算机应用与软件2018，Vol.35Issue(1)：325-329,5.DOI:10.3969/j.issn.1000-386x.2018.01.056
一类平衡的最优代数免疫度布尔函数的构造
CONSTRUCTION OF A FAMILY OF BALANCED BOOLEAN FUNCTION WITH OPTIMAL ALGEBRAIC IMMUNITY
王筱琛 1陈克非 1沈忠华 1程慧洁1
作者信息
- 1. 杭州师范大学理学院数学系 浙江杭州310012
- 折叠
摘要
Abstract
The algebraic immunity for Boolean function once become a hot research since algebraic attack had been proposed.The Boolean function scholar dedicated to construct optimal algebraic immunity Boolean function with good cryptographic properties,which includes the function balance,algebraic degree,nonlinearity,and correlation immunity order.In this paper,author have constructed a family of balanced even-variable Boolean function with optimal algebraic immunity.Also,it is proved that under the condition of having the optimal algebraic immunity,this function has higher algebraic degree and nonlinearity.Finally,the correlation immunity order of this function is also analyzed simply.关键词
布尔函数/代数免疫度/非线性度/代数次数Key words
Boolean function/Algebraic immunity/Nonlinearity/Algebraic degree分类
信息技术与安全科学引用本文复制引用
王筱琛,陈克非,沈忠华,程慧洁..一类平衡的最优代数免疫度布尔函数的构造[J].计算机应用与软件,2018,35(1):325-329,5.
