辽宁工程技术大学学报（自然科学版）2017，Vol.36Issue(9)：983-989,7.DOI:10.11956/j.issn.1008-0562.2017.09.016
导数、e-导数与非线性度、代数免疫性
Derivative, e-derivative and non-linearity, algebraic immunity
摘要
Abstract
To improve the resistance of password system against password attack such as linear approaching attack,differential cryptanalysis,correlation attack and algebraic attack,and enhance its security,this paper studied the nearest linear function and the calculation of the minimum number of algebraic annihilator in the process of calculating the degree of nonlinearity of Boolean function derivative portion and e-derivative.The nearest linear function,the degree of nonlinearity,the minimum number of algebraic annihilator and the computing order of algebraic immunity for H Boolean function,Bent function,H Boolean function with Hamming Weight 2n-1+2n-2 were obtained.And the methods for raising the degree of nonlinearity and the computing order of algebraic immunity of the odd function are derived.关键词
密码学/安全性/布尔函数/e-导数/非线性度/代数免疫性Key words
cryptography/security/Boolean function/E-derivative/nonlinearity/algebraic immunity分类
数理科学引用本文复制引用
张志杰,岳立柱..导数、e-导数与非线性度、代数免疫性[J].辽宁工程技术大学学报（自然科学版）,2017,36(9):983-989,7.基金项目
国家自然科学基金(71071113) （71071113）
辽宁省教改一般项目(UPRP20140947) （UPRP20140947）
