Abstract: Abstract By use of partially balanced t-designs(v,b,k;λ,0)that is constructed by the rational normal curves given by [5]and the Cartesian product given by [4],an authentication code with arbitration is constructed and its probability of success of attacks by the transmitter,the receiver and the opponent is obtained in this paper.
Keywords authentication codes;arbitration;partially balanced t-designs 

Key words:  , authentication codes, arbitration, partially balanced t-designs ,