查询词典 hyperelliptic

Compared with Elliptic Curve Cryptosystems, Hyperelliptic Curve Cryptosystems has obvious security advantages , therefore the theory of HCC has caused the crypto circle's extensive attention in recent years.

与椭圆曲线密码体制相比，超椭圆曲线密码体制具有明显的安全性优势，因而，近几年来超椭圆曲线密码理论备受密码学界的重视。

In the course of study on the agreements, this paper provides a kind of hyperelliptic cryptosystem scheme based on public key certificate, this scheme solves some safe problems in the traditional cryptosystem effectively, have the small communication amount, safe intensity and computation speed, especially suitable for solving the security problem existing in some systems with limited resource.

在对密码协议的研究过程中，作者提出了一种基于公钥证书的超椭圆曲线密码体制方案，该方案有效地解决了传统密码体制中的一些安全问题，具有安全强度高、通信量小、计算速度快等优点，特别适合用于解决资源受限系统的安全问题。

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。

Compared with Elliptic Curve Cryptosystems, Hyperelliptic Curve Cryptosystems has obvious security advantages , therefore the theory of HCC has caused the crypto circles extensive attention in recent years.

与椭圆曲线密码体制相比，超椭圆曲线密码体制具有明显的安全性优势，因而，近几年来超椭圆曲线密码理论备受密码学界的重视。

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 DH protocol, ElGamal encryption and ElGamal signature scheme, DSA are extended to Hypereliptic curves, and a new message recovery signature scheme based on Hyperelliptic curves is presented. And it is proved that this new message recovery signature scheme is not strong equivalent to HC-ElGamal signature scheme.

将DH协议、ElGamal加密体制、ElGamal签名和DSA推广到了HC上，提出了一个基于超椭圆曲线的消息恢复签名方案，并证明了这个消息恢复签名方案与HC-ElGamal签名方案不是强等价的。

The book is divided into eight chapters, mainly introduced the super-elliptic curve cryptography algorithms of number theory based on hyperelliptic curve cryptography system, in addition to the core algorithm for computing sub-groups, from the ECC's technical standards to the super-elliptic curve cryptosystem implementation technology, but also on the super-elliptic curve cryptography and ECC and RSA in the security strength, complexity and the realization on the comparison.

全书共分八章，主要介绍了超椭圆曲线密码体制的算法数论基础、超椭圆曲线的密码学体系、除子群运算的核心算法、从ECC的技术标准到超椭圆曲线密码体制的实现技术，同时也对超椭圆曲线密码体制与ECC及RSA在安全强度、复杂度以及实现上进行了比较。

Hyperelliptic curves cryptography is one kind surpassing of ellipse curve cryptography.

在同等安全水平下，HECC比ECC所用的基域小，并且在同样的定义域上，HECC可以提供更多的曲线，这样可以用于密码学中的安全的曲线的选项便增多了，由于这些优点使得HECC在近几年来，在密码界中受到越来越多的重视。

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。

The Weil Descent's algebraic method for DLP in the Jacobian of hyperelliptic curves which generalized by Galbraith is analyzed, and the problem of whether or not the Weil Descent'method can be used to attack the HCDLP with the form of y〓+xy=f defined over GF is discussed in detail.

研究了Galbraith提出的对超椭圆曲线的离散对数问题的WeilDescent代数攻击方法，对定义在GF上的形如y〓+xy=f的HCDLP能否用Weil Descent代数方法攻击作了详细讨论。

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。