【摘 要】
：
The authentication codes with arbitration are able to solve dispute between the sender and the receiver.The authentication codes with trusted arbitration are called A2-codes,the authentication codes with distrust arbitration are called A3-codes.As an expa
【机 构】
：
College of Science, Civil Aviation University of China, Tianjin 300300, China
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The authentication codes with arbitration are able to solve dispute between the sender and the receiver.The authentication codes with trusted arbitration are called A2-codes,the authentication codes with distrust arbitration are called A3-codes.As an expansion of A2-codes,an A3-code is an authentication system which is closer to the reality environment.Therefore,A3-codes have more extensive application value.In this paper,we construct a class of A3-codes based on polynomials over finite fields,give the parameters of the constructed codes,and calculate a variety of cheating attacks the maximum probabilities of success.Especially,in a special case,the constructed A3-codes are perfect.Compared with a known type of codes,they have almost the same security level,however,our codes need less storage requirements.Therefore,our codes have more advantages.
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