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Abstract

In this article, we look at the elliptic curve cryptography, which is believed to be one of the most promising candidates for the next generation cryptographic tool. The following issues are addressed here;
1.  Discrete Logarithm Problem in finite fields
2.  Elliptic Curve Discrete Logs
3.  Implementation of ECDLP Cryptographic Schemes
4.  Attacks on EC Cryptosystems
5.  Minimum Requirement for Secure EC Cryptosystems
6.  Standardization and Commercialization of EC Cryptosystems
7.  Construction of Elliptic Curves

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