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设n为无平方因子的任意自然数,我们利用中国剩余定理以及有限域上圆锥曲线的群结构,得到了剩余类环Zn上圆锥曲线的群结构。这一结果推广了圆锥曲线的结构理论,有助于推动环上圆锥曲线密码学的研究。
Let n be an arbitrary natural number without a square factor. By using the Chinese residual theorem and the group structure of the conic curve over the finite field, we obtain the group structure of the conicoid on the remaining ring Zn. This result generalizes the structure theory of conic curve and helps to promote the research of conical cryptogram on the ring.