Study on Elliptic Curve Discrete Log Problem
Anil Kumar Nagam
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Study on Elliptic Curve Discrete Log Problem

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"It is insufficient to protect ourselves with laws; we need to protect ourselves with mathematics. There are two kinds of cryptography in this world: cryptography that will stop your kid sister from reading your files, and cryptography that will stop major governments for reading your files".(Bruce Schneir). Discrete Logarithm Problem (DLP) forms the basis for many cryptographic systems today. Many algorithms have been defined in literature for solving the DLP but only Index-Calculus methods offer sub-exponential time complexities for DLP on finite fields with properly chosen parameters. In th...