摘要
基于支撑集交换技术,通过对k-阶旋转对称轨道的分析,给出了一个由n元1-阶旋转对称轨道,得到nk元k-阶旋转对称轨道的方法.进一步,通过改变定义在F_(2)^(nk)上的旋转对称弹性函数的支撑集,构造出新的k-阶旋转对称2-弹性函数,且至少能得到k·2^(k)个不同的nk(n≥3,k≥2)元k-阶旋转对称2-弹性函数.
Based on the techniques of the support set exchange,the orbits of nk-variable k-rotation symmetric can be obtained from the orbits of n-variable 1-rotation symmetric through the analysis of the orbits of k-rotation symmetric.Fur⁃thermore,by modifying the support set of the rotation symmetric functions over F_(2)^(nk),a new class of k-rotation symmetric 2-resilient Boolean functions are constructed and at least k·2^(k) different nk(n≥3,k≥2)-variable k-rotation symmetric 2-resilient Boolean functions can be obtained.
作者
刘春红
李龙飞
高强
王天银
杜蛟
庞善起
LIU Chun-hong;LI Long-fei;GAO Qiang;WANG Tian-yin;DU Jiao;PANG Shan-qi(School of Computer and Information Engineering,Henan Normal University,Xinxiang,Henan 453007,China;School of Mathematics and Statistics,Henan Normal University,Xinxiang,Henan 453007,China;Faculty of Mathematical Sciences,Luoyang Normal University,Luoyang,Henan 471934,China)
出处
《电子学报》
北大核心
2025年第5期1445-1452,共8页
Acta Electronica Sinica
基金
国家自然科学基金(No.62372157,No.62272208,No.62172196,No.12471245)。
关键词
密码学
弹性函数
旋转对称函数
支撑矩阵
非线性度
代数次数
cryptography
resilient function
rotation symmetric function
support table
nonlinearity
algebraic degree
