The discrete logarithm problem (DLP) is a fundamental challenge in cryptography and machine learning. It asks how to find an exponent x such that g^x = h, where g and h are given elements of a ...

To protect confidentiality of information, cryptography seeks to use mathematical ... it is able to solve increasingly large discrete logarithm problems, while its computing time increases at ...

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on ...

Cryptography underpins the digital signature schemes ... The result is what gives the function its trapdoor, known as the discrete logarithm problem. If we represent a variable x as a 384-bit integer ...

Abstract: The difficulty in solving the discrete logarithm problem (DLP) is very important to the cryptography since it is widely used in signature schemes, message encryption, authentication, and so ...

An implementation of the Pohlig-Hellman Algorithm, and using it in solving the Discrete Logarithm Problem in the group of units modulo a prime, with large values.

ABSTRACT: This paper provides a framework that reduces the computational complexity of the discrete logarithm problem. The paper describes how to decompose the initial DLP onto several DLPs of smaller ...

Abstract: The difficulty in solving the discrete logarithm problem (DLP) is very important to the cryptography since it is widely used in signature schemes, message encryption, authentication, and so ...