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A new method for solving the elliptic curve discrete logarithm problem
May 11, 2020 Β· Declared Dead Β· π journal of Groups, Complexity, Cryptology
"No code URL or promise found in abstract"
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Authors
Ansari Abdullah, Ayan Mahalanobis, Vivek M. Mallick
arXiv ID
2005.05039
Category
cs.CR: Cryptography & Security
Cross-listed
math.AG,
math.NT
Citations
8
Venue
journal of Groups, Complexity, Cryptology
Last Checked
4 months ago
Abstract
The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic curve discrete logarithm problem. In this paper, we will argue that initial minors are a viable way to solve this problem. This paper will present necessary algorithms for this attack. We have written a code to verify the conjecture of initial minors using Schur complements. We were able to solve the problem for groups of order up to $2^{50}$.
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