A Construction of Optimal Cartesian Authentication Codes from Orthogonal Geometry over Finite Fields of Odd or Even Characteristic
Zhiping Wang · 2006
In the present paper a construction of Cartesian authentication codes from orthogonal geometry over(odd or even characteristic) finite fields are presented.The size parameters of the codes so constructed are computed.On assuming that encoding rules are chosen according to a uniform probability distribution,the probabilities of a successful impersonation attack and a successful substitution attack of these codes are also computed respectively.As a corollary,some optimal Cartesian authentication codes are obtained.