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...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Sim, Ernest Zi-En
مؤلفون آخرون: Tay Kian Boon
التنسيق: Final Year Project
اللغة:English
منشور في: Nanyang Technological University 2024
الموضوعات:
الوصول للمادة أونلاين:https://hdl.handle.net/10356/174285
الوسوم: إضافة وسم
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المؤسسة: Nanyang Technological University
اللغة: English
الوصف
الملخص: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.