超椭圆的

Thus the security of HECC is based on the difficulty of computing the discrete logarithm on Jacobian group.

选取了特定的有限域和亏格以及超椭圆曲线来讨论HECC的除子标量乘问题。

This book describes the author in recent years in the ultra-theory of elliptic curve cryptography and its implementation on the results.

本书介绍了近几年来作者在超椭圆曲线密码体制的理论及其实现上的成果。

The secure hyperelliptic curves that can be used for HCC over finite fields GF (3), GF (4), GF (5), and GF (8) are found using Weil conjecture algorithm.

利用Weil猜想算法找出了定义在有限域GF(3)、GF(4)、GF(5)和GF(8)上的可用于建立密码体制的安全超椭圆曲线。

At the same time, the method how to calculate the optimum width of the window has been found;(3)A basic hyperelliptic curve cryptosystems integrated encryption system is implemented on the Java platform.

在Java平台上实现了一种超椭圆曲线密码体制的综合加密系统。

Hyperelliptic curve cryptosystems is a natural generalization of elliptic curve cryptosystems.

摘要超椭圆曲线密码体制是椭圆曲线密码体制的自然推广，但不仅仅是一种简单的推广。

The problem of scalar multiplication on the Jacobians of hyperelliptic curves is studied. A fast algorithm for scalar multiplication on the Jacobians of a kind of hyperelliptic curves based subfield is proposed with its computational cost analyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

At the same level of security, the basis field of hyperelliptic curve cryptosystems is smaller than that of ECC, and almost all protocols based on the standard DLP such as DSA and ElGamal can be planted to HCC.

在同等安全水平下，超椭圆曲线密码要比椭圆曲线密码所用的基域小，且HCC可以模拟基于一般乘法群上的如DSA、ElGamal等几乎所有协议；在同样的定义域上，亏格越大(g≤4)，曲线越多，所以选取用于密码中的安全曲线的余地越大。

At the same level of security, the basis field of hyperelliptic curve cryptosystems is smallerthan that of ECC, and almost all protocols based on the standard DLP such as DSA andElGamal can be planted to HCC.

在同等安全水平下，超椭圆曲线密码要比椭圆曲线密码所用的基域小，且HCC可以模拟基于一般乘法群上的如DSA、ElGamal等几乎所有协议；在同样的定义域上，亏格越大(g≤4)，曲线越多，所以选取用于密码中的安全曲线的余地越大。

The problem of scalar multiplication on the Jacobians of hyperelliptic curves isstudied. A fast algorithm for scalar multiplication on the Jacobians of a kind ofhyperelliptic curves based subfield is proposed with its computational costanalyzed.

讨论了超椭圆曲线密码体制的标量乘问题，对基于子域的一类超椭圆曲线Jacobian的标量乘提出了一个快速算法，并分析了算法的计算量。

In this paper,we construct the transitive signature scheme based on bilinear pairings over elliptic curves or super elliptic curves,If one-more CDH problem is hard and standard signature scheme is unforgeable under adaptive chosen-message attack,our scheme is transitively unforgeable under adaptive chosen-message attack.

构造了基于椭圆曲线或超椭圆曲线上双线性对的可传递签名方案，并且证明了在one—more CDH问题是难的和标准签名方案是自适应选择信息攻击下不可伪造的条件下，该文的可传递签名是在自适应选择信息攻击下不可伪造的。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。