认证码与ＵＨａｓｈ函数有密切关系，尤其利用ε－ＡＳＵＨａｓｈ函数族构造认证码是一个重要手段．通过有限域上迹函数构造了两个新的ε－ＡＳＵＨａｓｈ函数族，同时得到相应的Ｃａｒｔｅｓｉａｎ认证码．与现有其他认证码参数比较，所得码效率更高，在同等欺诈概率条件下能以同等长度密钥认证较多比特信源状态 The authentication code is closely related to the UHash function. In particular, constructing the authentication code using the ε-ASUHash function family is an important method. Two new families of ε-ASUHash functions are constructed by using trace functions in finite fields, and corresponding Cartesian authentication codes are obtained. Compared with other existing authentication code parameters, the resulting code efficiency is higher, and under the same fraud probability, more bits of the source state can be authenticated with the same length key