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This thesis aims to analyze the Elliptic Curve Discrete Logarithm Problem and its implications for cryptosystems.

March 6, 2026Open Access

Attacking the elliptec curve discrete logarithm problem

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This thesis aims to analyze the Elliptic Curve Discrete Logarithm Problem and its implications for cryptosystems.
In-depth examination of ECDLP techniques
Development of programs in Pari/GP for attacks
Application of knowledge to generate strong elliptic curves.
Demonstrated various techniques for attacking cryptosystems dependent on ECDLP
Generated cryptographically strong elliptic curves through these methods.

Abstract

The purpose of this thesis is an in-depth examination of the Elliptic Curve Discrete Logarithm Problem(ECDLP) including up-to-date techniques in attacking cryptosystems dependent on the ECDLP. The thesis is presented as a how-to guide and included are programs written in Pari/GP for various attacks. We then use the knowledge of these attacks in an attempt to generate cryptographically strong elliptic curves.

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Matthew Musson (Sun,) studied this question.

synapsesocial.com/papers/69aa7160531e4c4a9ff5b74b — DOI: https://doi.org/10.26108/vj49-n461

Attacking the elliptec curve discrete logarithm problem

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