Construction Method of Cartesian Authentication Codes from BN Pair Decomposition of General Linear Group
Chen Dian-you · Journal of Jilin University(Science Edition) · 2006
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.