Analysis of algorithms to solve the discrete logarithm problem

This project aims to explore and understand the concepts of the discrete logarithm problem. Discrete logarithm is a fundamental concept in modern cryptography. The project aims to provide an understanding of the real-world applications employed using discrete logarithm and the various methods used t...

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Bibliographic Details
Main Author: Sim, Ernest Zi-En
Other Authors: Tay Kian Boon
Format: Final Year Project (FYP)
Language:English
Published: Nanyang Technological University 2024
Subjects:
Online Access:https://hdl.handle.net/10356/174285
Description
Summary:This project aims to explore and understand the concepts of the discrete logarithm problem. Discrete logarithm is a fundamental concept in modern cryptography. The project aims to provide an understanding of the real-world applications employed using discrete logarithm and the various methods used to solving it. Discrete Logarithm Formula is defined as: g^x = h (mod p) Where g is a fixed base value, x is the unknown exponent, p is a prime number and h is the result of raising the base g to the exponent x and taking the result modulo p. From the equation, we would want to find the value of the exponent x, given values of g, h and p. The discrete logarithm problem is a computationally hard problem and is used to be the basis of constructing a secure cryptosystem. Cryptography plays a crucial role in ensuring confidentiality and security of data.