Abstract
In modern society with Internet rapid development, information system takes digital form of 0 and 1, this information system and public channel are very fragile in the case of without defensive measures, and they are easily attacked and destructed by hackers and intruders. This article is mainly based on the knowledge of discrete logarithm, studies public key cipher algorithm, especially elliptic curve cryptosystem. First this paper introduces the basic concepts and knowledge of cryptography, and discusses the relation between discrete logarithm and public key cryptography algorithms. Finally in detail it discusses elliptic curve cryptosystem, and presents the realization and running effect of encryption system.
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