基于完全组的一类相关免疫函数
A CLASS CORRELATION IMMUNITY FUNCTION BASED ON COMPLETE SET
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摘要: 本文利用一种称为完全组的向量组构造了一类二级遍历矩阵,利用它的一个部分组构造了一类三级遍历矩阵。进而给出了相应的二阶和三阶相关免疫函数。文中还对所构造的二级和三级遍历矩阵论证了它们列向量的不可添加性。
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关键词:
- 相关免疫; 布尔函数; 构造
Abstract: In this paper, the vectors set called complete set is presented. A class of second order ergodic matrix is constructed by using the complete set, and a class of third order ergodic matrix is also constructed by using the partial set of complete set. On the basis mentioned above, the corresponding Boolean functions with second order and with third order correlation immunities are given. The paper also proves that the additional column vector is not allowed for both second order and third order ergodic matrices so constructed. -
Siegenthaler T. Correlation-immunity of nonlinear combining function for cryptographic applica-[2]tions. IEEE Trans. on Inform. Theory. 1998, 30(5): 776-780.[3]扬应弼.一类二阶相关免疫布尔函数.电子学报,1995, 23(12), 38-42.[4]单炜娟.相关免疫函数的结构与构造.应用数学学报,1991, 14(3): 331-336. -
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