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This method can be applied to the ECC.(2)The author stresses investigation about the scalar multiplication of divisor, which is the core algorithm in the hyperelliptic curve cryptosystem.

提出了一个关于除子的SWNAF(Sliding Windows Non_Adjacent_Form)标量乘法算法,它是基于滑动窗口的NAF算法,比普通的标量乘法的速度有大的提高。

In this article, we make some research due to some problems of HECC, including the math background of hyperelliptic curves cryptography, the algorithm of divisor scalar multiplication, and providing a kind of general digital signature based on hyperelliptic curves cryptography.

为了确保这一系统的稳定性与安全性,HECC的几个主要参数的选取问题就起了很大的作用,本文对这几个参数选取作了详细介绍,并且归纳了求基点和求阶的方法。

In order to refine a method for defence against at least one attack made by means of differential power analysis on at least one hyperelliptic cryptosystem, in particular at least one hyperelliptic public key cryptosystem, which is given by at least one hyperelliptic curve of any genus over a finite field in a first group, where the hyperelliptic curve is given by at least one co-efficient, so that an essential contribution can be made towards an efficient and secure implementation of the hyperelliptic cryptosystem, it is proposed that the hyperelliptic curve and/or at least one element of the first group, in particular at least one in particular reduced divisor and/or at least one intermediate result of a scalar multiplication, is randomised.

为了改进用于防御在至少一个超椭圆密码系统中、特别是在至少一个超椭圆公共密钥密码系统中通过微分功率分析作出的至少一个攻击的方法,该超椭圆公共密钥密码系统是通过在第一组中有限域中任何种类的至少一个超椭圆曲线给出的,其中超椭圆曲线由至少一个系数给出,以使得可以对于超椭圆密码系统的有效而安全的实施方案作出重要的贡献,提出将超椭圆曲线和/或第一组的至少一个元素、特别是至少一个特定的减小的除数和/或标量乘法的至少一个中间结果进行随机化。

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。

QIQD uses piecewise quadratic curves to calculate the multiplicator of contending window after a frame collision and the divisor of contending window after a successful transmission, respectively, which is capable of reducing collision probability and improving channel utilization.

QIQD通过分段二次曲线计算数据帧碰撞冲突后增大竞争窗口的倍乘因子和数据帧成功传输后减小竞争窗口的倍除因子,从而能够降低碰撞概率和提高信道利用率。

Subgroup H of G is said to be π-quasinormally embedded in G, if for each prime divisor p of the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroup of G.

bstract 设G是有限群,称G的子群H在G中π-拟正规嵌入,如果对于{H}的每个素因子p, H的Sylow p-子群也是G的某个π-拟正规子群的Sylow p-子群。

A subgroup H of G is said to be π-quasinormally embedded in G, if for each prime divisor p of the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some π-quasinormal subgroup of G.

设G是有限群,称G的子群H在G中π-拟正规嵌入,如果对于{H}的每个素因子p, H的Sylow p-子群也是G的某个π-拟正规子群的Sylow p-子群。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理,Lagrange四平方数定理等,然后利用这些结果结合几个theta函数恒等式,我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数,这些方法数都是用因子函数来表示的。

In this paper, we introduce the concepts of the great common P-divisor, least common P-multiple of two distinct nonzero elements x, y in arbitrary unique factorization domain R, and denote them byp, and p respectively.

在本文中,作为通常的整数环Z上的最大公因子和最小公倍数的推广,我们在惟一分解整环R上定义了最大公P-因子和最小公P-倍元,分别记为_P和_P。

The purposes of this study are to develop two concrete teaching activities and to see students' learning situations from practicing the activities of divisor's unit.

本研究旨在发展因数教学活动设计以帮助学生理解因数的意义,并从实践中了解此教学活动的学习情形。

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