RSA和ECC的比较

Mingxuan Ma
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引用次数: 0

摘要

在技术发达的今天,密码学在社会中发挥着重要的作用,其本质是数据交换。在这个过程中应该考虑两个重要因素:速度和安全性。一个使用公钥和私钥的系统使用不同的算法来保护原始发送方和接收方之间的安全数据,这就是所谓的公钥密码系统。本文介绍了RSA算法和ECC算法的加解密方法,并比较了它们的优缺点。椭圆曲线密码学近年来引起了人们的广泛关注。与RSA相比,ECC的好处是它提供了相同的安全性,但比特大小更小,因此处理开销更少。用于视频加密和解密的加解密算法使视频文件的安全性越来越高,其中最常用的是椭圆曲线算法,它被用于开发密钥交换和数字签名等方案。然而,由于ECC的数学背景不像其他密码系统那样简单,如几何、抽象代数、数论,因此很难选择一个好的曲线。因此,最后,对RSA算法在其机制中的缺点提出了一些建议,以帮助减少攻击,以便人们不会在ECC上过多地回复。根据算法中涉及的参数给出了建议,在量子计算机出现之前,RSA和ECC都是首选方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Comparison between RSA and ECC
Cryptography plays a significant role in the society with today’s advanced development of technology and the nature of it is data exchange. There are two important factors that should be considered in the progress: speed and security. Different algorithms are used to protect secure data between original sender and receiver by a system which uses public key and private key, and this is so-called as public key cryptosystem. In this paper, RSA algorithm and ECC algorithm are shown about their encryption and decryption and their advantages and disadvantages are compared. Elliptic curve cryptography has recently attracted much attention. The benefit of ECC compared to RSA is that it provides the same security but with smaller bit sizes, thus less processing overhead. The encryption and decryption algorithm which is utilized to encrypt and decrypt the video gives the video files more and more security and the most common one is elliptic curve algorithm, which are used to develop schemes such as key exchange and digital signature. However, since the mathematical background of ECC is not as easy as other cryptosystems, as in geometry, abstract algebraic, number theory, it is hard to choose a good curve. Therefore, finally, there are some suggestions to the drawbacks in RSA algorithm in its mechanism to help to reduce the attacks so that people won’t overwhelm reply to much on ECC. Suggestions are given according to the parameters involved in the algorithm and both RSA and ECC are preferred methods until the appearance of quantum computers.
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