Construction of Cartesian Authentication Code Based on Matrices Method
LI Dian-long · Jisuanji gongcheng · 2010
A new kind of Cartesian authentication code is constructed by using matrices method over finite fields and all its parameters are obtained.Supposing the encoding rules are chosen according to the uniform probability distribution,the two probabilities of successful impersonation attack and substitution attack of opponent are computed.This authentication code is based on Jordan form of cubic nilpotent matrices and has the greater number of the source state than some schemes constructed by matrices method before.On the same condition,the scheme can authenticate more source state,which reduces the communication cost and improves the security of authentication code to some extent.