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。
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.
