[Resource Topic] 2025/654: ECDSA Cracking Methods

Welcome to the resource topic for 2025/654

Title:
ECDSA Cracking Methods

Authors: William J Buchanan, Jamie Gilchrist, Keir Finlow-Bates

Abstract:

The ECDSA (Elliptic Curve Digital Signature Algorithm) is used in many blockchain networks for digital signatures. This includes the Bitcoin and the Ethereum blockchains. While it has good performance levels and as strong current security, it should be handled with care. This care typically relates to the usage of the nonce value which is used to create the signature. This paper outlines the methods that can be used to break ECDSA signatures, including revealed nonces, weak nonce choice, nonce reuse, two keys and shared nonces, and fault attack.

ePrint: https://eprint.iacr.org/2025/654

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