有限局部环Z/q^kZ上对合矩阵标准形的应用

Normal Form of Involutory Matrices and Its Application over Z/qkZ

设R=Z/q^kZ是模整数q^k的有限局部环,其中q是素数,k>1,q≠2。利用R上n阶对合矩阵的相似标准形,构作了一个Cartesian认证码,计算其全部参数。

Let R = Z/qkZ is finite local ring, where q is prime and k > 1 and q ≠ 2. Using the normal form of involutory matrices over R , this paper constructs a Cartesian authentication code and compute the parameters of Cartesian authentication code.