2次旋转对称布尔函数的两个密码学性质  

Two Cryptographic Properties of Quadratic Rotation Symmetric H Boolean Functions

作　　者：黄景廉[1] 王卓[1] 

机构地区：[1]西北民族大学电气工程学院,甘肃兰州730030

出　　处：《通信技术》2013年第2期106-108,共3页Communications Technology

基　　金：国家自然科学基金资助(批准号:61262085);中央高校基本科研业务费专项资金资助(No.ZYZ2011055)

摘　　要：旋转对称布尔函数是密码学中有理论和应用价值的一类函数。代数免疫性和平衡性是布尔函数的两个重要的密码学性质。通过级联计算和组合分析的方法,来研究2次旋转对称布尔函数、旋转对称H布尔函数的平衡性及代数免疫性,得到2次旋转对称布尔函数平衡性、代数免疫性的条件和结果。这一结果为深入研究旋转对称布尔函数、旋转对称H布尔函数的密码学性质打下了一个良好的基础。Rotation symmetric Boolean function is a class of function with theoretical and practical values in cryptography, and both algebraic immunity and balance are the two important cryptographic properties of Boolean function. By cascade calculation and portfolio analysis, the balance and the algebraic immunity of quadratic rotation symmetric Boolean function and rotation symmetric H Boolean function are studied, and thus the conditions and the results of the balance and algebraic immunity of quadratic rotation symmetric Boolean function are acquired. This achievement lays a fairly good foundation for the further in-depth study of cryptographic properties of rotation symmetric Boolean function and rotation symmetric H Boolean function.

关 键 词：布尔函数 旋转对称 平衡性 代数免疫 

分 类 号：TN918.1[电子电信—通信与信息系统]