How Does the Discrete Logarithm Problem Relate to ECDSA’s Security?
The Discrete Logarithm Problem (DLP) is the underlying mathematical challenge that secures many public-key cryptosystems. In ECDSA, the equivalent is the Elliptic Curve Discrete Logarithm Problem (ECDLP).
The security of the private key rests entirely on the assumption that solving the ECDLP is computationally infeasible. If an efficient solution to the ECDLP were found, an attacker could easily derive the private key from the public key, compromising all ECDSA-secured assets.
Glossar
Discrete Logarithm
Algorithm ⎊ The discrete logarithm problem serves as a foundational element for several public-key cryptographic algorithms, including those used in blockchain technology.
Elliptic Curve Discrete Logarithm Problem
Complexity ⎊ The Elliptic Curve Discrete Logarithm Problem (ECDLP) represents a foundational challenge in cryptographic security, particularly relevant to securing digital assets and transactions within cryptocurrency systems and increasingly, complex financial derivatives.
Discrete Logarithm Problem
Complexity ⎊ The Discrete Logarithm Problem (DLP) represents a foundational challenge in cryptography, particularly relevant to securing digital assets and transactions within cryptocurrency systems and financial derivatives.