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Researchers Claim Subexponential Algorithm for Elliptic Curve Discrete Logarithm

Original: A Subexponential Time Algorithm for Elliptic Curve Discrete Logarithm

A new paper from the Bochum cryptography group claims a subexponential time algorithm for the elliptic curve discrete logarithm problem, the mathematical basis underpinning widely used elliptic curve cryptography. A public GitHub repository accompanies the work. If the claim holds up under review, it would be a major theoretical breakthrough, since elliptic curve discrete logarithms have long been believed to resist anything better than square-root complexity, and such a result could undermine the security assumptions of common cryptographic schemes.

Why now: A claimed breakthrough against the core problem behind elliptic curve cryptography has major implications for digital security, drawing close scrutiny from cryptographers.

Bochum cryptography groupelliptic curve cryptography

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