【摘要】 利用有限域上一般线性群的BN对分解,给出有限域上的可逆矩阵在置换阵相似变换下的标准形.构造了一类Cartesian认证码,并给出其参数,最后计算了在给定译码规则下一致分布的成功模仿攻击概率PI和替换攻击概率PS.更多还原

【Abstract】 We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix.A construction method of Cartesian authentication codes is presented and the parameters are computed.Moreover,assuming that the encoding rules are chosen,P_I and P_S,which denote the largest uniformly distributed probability of a successful impersonation(attack) of these codes and that of a successful substitution attack respectively,are also computed.更多还原