曲线系统 meaning in English
cs
Examples
- In this thesis , the basic problem of network security , some correlative protocols and cryptology are discussed at first , math theory in point is also studied . especially , a sort of new matrix method of solving quadratic equation over gf ( 2m ) is given , which is the key of selecting random point over elliptic curves . no better solution has been found in related literature in the world . compared with ieee p1363 ' s method , it is easy to implement the software and obtain high efficiency , etc . then the basic operation of elliptic curve is debated and the steps of finding secure curve and basis point over gf ( 2m ) are presented . moreover , the encryption and decryption schemes of the ecc are designed and the security problem of ecc is also considered . in the end , ecc by koblitz curves are implemented
文章首先讨论了网络安全基本问题、网络安全协议和密码学；对相关数学理论进行了研究，特别是给出了一种新的求解gf ( 2 ~ m )上二次方程的矩阵法，而它是选取椭圆曲线上的随机点的关键步骤，和ieeep1363的方法相比，它有易于软件实现、效率高等优点，在国内外相关文献上还未见到更好的求解方法；接着讨论了椭圆曲线的基本运算，进而给出了在gf ( 2 ~ m )上选取安全曲线及基点的步骤；文章还设计了椭圆曲线加密系统的加解密方案，讨论了椭圆曲线系统的安全性问题。最后文章就koblitz曲线加密系统进行了软件实现。 - 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)