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 an ...

Abstract: The present study investigates the difficulty of solving the mathematical problem, namely DLP (Discrete Logarithm Problem) for ephemeral keys. DLP is the basis for many public key ...

This project investigates a novel topological approach to the Elliptic Curve Discrete Logarithm Problem (ECDLP), with a focus on the secp256k1 curve used in Bitcoin and other blockchain systems. The ...

Researchers have solved one aspect of the discrete logarithm problem. This is considered to be one of the 'holy grails' of algorithmic number theory, on which the security of many cryptographic ...

An alternative quantum algorithm for the discrete logarithm problem is presented. The algorithm uses two quantum registers and two Fourier transforms whereas Shor's algorithm requires three registers ...

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 ...