超椭圆的

The algorithm of Cantor provided an effective method to implement the group operation on the Jacobian of a hyperelliptic curve.

Cantor的算法为实现超椭圆曲线的Jacobian中的群运算提供了一个有效的算法。

The algorithm of Cantor provided aneffective method to implement the group operation on the Jacobian of a hyperelliptic curve.

Cantor的算法为实现超椭圆曲线的Jacobian中的群运算提供了一个有效的算法。

The paper,combined with public-key certificate technology, designs a new data encryption scheme based on Hyperelliptic curve.

本文在超椭圆曲线上，结合公钥证书技术设计了一个新的数据加密方案，该方案具有安全性高，加密和签名速度快，通信量少等优点，特别适合用于解决用户群是一些计算能力和存储能力受限的系统中的安全问题。

In the new protocol, used Weil pairing technology, based on hyperelliptic curves, in digital signature authentication, and first authenticated the responder.

新的协议采用基于超椭圆曲线的Weil对技术进行数字签名认证，并且首先认证响应方身份。

Research on hand shows that the genus of an secure hyperelliptic curve should be small and the cardinality of its Jacobian group should contain a 160bit big prime factor at least.

现有的研究表明，用于构造密码体制的超椭圆曲线必须是低亏格的，且它的Jacobian基数中必须至少含有一个160bit的大素因子。

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。

A very efficient probability message coding scheme of hyperelliptic curve cryptosystems based on GF (p≠2) and a new divisor compression scheme of hyperelliptic curve over GF are presented.

提出了非特征2的有限域上超椭圆曲线密码体制的一个消息编码方案和除子压缩方案。

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。

We get the following conclusions: the Weil Descent's algebraic attack method is not a threat to hyperelliptic curves with the form of y〓+xy=f defined over GF (2〓) when r is large.

得出结论：Weil Descent代数攻击对这类超椭圆曲线所建立的密码体制并未造成太大的威胁。

We also obtain the normal forms for a class of real analytic hypersurface in C^2, and the existence and uniqueness of the positive solutions of some quasilinear elliptic equations.

我们还研究了一类C^2上的实解析超曲面的规范型，以及一些拟线性椭圆型方程组正解的存在性和唯一性。

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。