超椭圆曲线密码体制是以超椭圆曲线离散对数问题的难解性为基础的，具有安全性高、操作数短等优点，相对于其他密码体制有明显的优势。
The hyperelliptic curve cryptosystem is based on the hyperelliptic curve discrete logarithm problem, and has the higher safety and the shorter operands compared to other cryptosystems.
协议的安全性是建立在目前尚未存在有效攻击方法的有限域上非超奇异椭圆曲线的椭圆曲线离散对数问题之上的。
The safety of this protocol is based on the elliptic curve discrete logarithm of non-supersingular elliptic curve over finite field, on which there has been no efficient attack method up to now.
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