# integer factorization in Chinese

• 整数分解
• 质因数分解
###### Examples
• Information technology - security techniques - digital signature schemes giving message recovery - integer factorization based mechanisms
信息技术.安全技术.使电文恢复的数字签名方案.基于整数因子分解的机制
• Information technology - security techniques - digital signature schemes giving message recovery part 2 : integer factorization based mechanisms
信息技术.保密技术.具有信息恢复功能的数字签名方案.第2部分:基于整数因子分解的机构
• Chun - chih peng and chung - huang yang , " design and implementation for integer factorization and primality testing tools with elliptic curve on windows platforms , " 2007 symposium on cryptography and information security , sasebo , japan , january 2007
张家瀚、杨中皇，支援链结机制之标准化时戳实作， 2007知识社群与资讯安全研讨会，文化大学， 2007年5月。
• Using the idea of secret - sharing and signature - of - knowledge , a new perfect and strong key - insulated signature scheme based on the assumption of integer factorization problem is proposed . the scheme has a low computation in key updating and signing , thus fitting for the mobile devices
( 6 )对签名系统中的密钥泄露问题进行了研究，在分析相关技术的基础上，利用秘密分享和知识签名，给出了一个完善的强key - insulated签名方案。
• The elliptic curve digital signature algorithm ( ecdsa ) is the elliptic curve analogue of the digital signature algorithm ( dsa ) . it was accepted in 1999 as an ansi standard , and was accepted in 2000 as ieee and nist standards . unlike the ordinary discrete logarithm problem and the integer factorization problem , no subexponential - time is known for the elliptic curve discrete logarithm problem . for this reason , the strength - per - key - bit is substantially greater in an algorithm that uses elliptic curves
椭圆曲线数字签名算法（ ecdsa ）是数字签名算法（ dsa ）的椭圆曲线对等。它先后成为ansi ， ieee ， nist和iso的标准，而且其它的一些组织正在考虑成为其标准。不象普通的离散对数问题和因数分解问题，椭圆曲线离散对数问题没有已知的亚指数算法，所以使用椭圆曲线的算法在密钥的位强度是足够高的。
• Secondly , we described the fundamental concepts and properties of group signature scheme and some general digital signatures that can be used to construct group signature amply , and presented a group signature scheme based on the integer factorization . thirdly , we explained the fundamental concepts and properties of authorized group signature in detail and propounded a secure authorized group signature based upon the discrete logarithm . finally , we illuminated electronic payment system in e - commerce and designed a simple and high secure electronic cash system with multiple banks based on group signature
首先,对群签名体制的研究背景、意义以及发展现状进行了介绍;接着针对群签名体制的基本概念和性质以及可用于构造群签名的一些普通的数字签名体制进行了详细描述,并基于大整数分解问题给出一个群签名方案;同时还对授权群签名的基本概念和必须满足的基本性质进行了详细说明,并且基于离散对数问题给出一个安全的授权群签名方案;最后,对电子商务中的一个重要组成部分? ?电子支付系统进行了详细的阐述,利用群签名技术设计出一个简单、高安全性的多银行电子现金系统方案。
• The primary advantage that elliptic curve systems have over systems based on the multiplicative group of a finite field ( and also over systems based on the intractability of integer factorization ) is the absence of a subexponential - time algorithm ( such as those of index calculus type ) that could find discrete logs in these groups
与基于有限域的乘法群系统(及基于整数分解的难解性之上的系统)相比,椭圆曲线系统的优势在于,迄今为止还没找到这类群上离散对数的次指数时间算法(如微积分类)
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