%0 Journal Article
%T 最大代数免疫阶弹性函数的构造<br>On construction of resilient functions with maximum algebraic immunity
%A 孙天锋
%A 胡斌&lt
%A br&gt
%A SUN Tian-feng
%A HU Bin
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.295
%X 摘要： 研究最大代数免疫阶弹性函数的构造问题,提出了一种易于编程实现的弹性化思想。将择多函数作为初始函数,利用弹性化方法将其转化为弹性函数,给出了此函数具有最大代数免疫阶的充要条件,并简要讨论了该函数的非线性度及代数次数。<br>Abstract: The construction of resilient functions with maximum algebraic immunity was studied by a new method of flexibility, which can be carried out by software implementation easily. By means of flexibility, any majority function can be transformed into resilient function. A sufficient and necessary condition on which the resilient function has maximum algebraic immunity was obtained. Moreover, the cryptographic properties of the resilient function, such as nonlinearity and algebraic degree were studied
%K 特征矩阵
%K 弹性函数
%K 代数免疫阶
%K 弹性化
%K &lt
%K br&gt
%K characteristic matrix
%K resilient functions
%K algebraic immunity
%K flexibility
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.295