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本文研究各阶欺骗概率相等的、一般阶的最优认证码的构造．利用有限域上高次抛物线、Ｍ－序列和线性校验办法分别构造了一类保密最优认证码和两类Ｃａｒｔｅｓｉａｎ最优认证码．
In this paper, we study the construction of the optimal authentication code of general order with the same degree of fraud in all orders. A class of secret optimal authentication codes and two kinds of Cartesian optimal authentication codes are respectively constructed by the high order parabola, M-sequence and linear checking on the finite field.