The origin of the "seed" parameters within the Elliptic Curve Digital Signature Algorithm (ECDSA) standard has been a long-standing question in the cryptographic community. These seeds, crucial for defining the coefficient 'b' of elliptic curves, were provided by the NSA when ECDSA was adopted by NIST in 2000, without any accompanying explanation or justification.
For years, speculation surrounded the seeds' provenance. One popular theory suggested they were derived from a hash of a humorous passphrase, possibly involving NSA employees Jerry Solinas and Bob Reiter. However, attempts to confirm this theory were unsuccessful, and Solinas, who passed away in 2023, could not provide details.
Employees at Anthropic, after previous unsuccessful attempts, utilized an AI to investigate the seeds. This effort revealed that the seeds are derived from timestamps. This finding resolves the mystery, providing a definitive answer to the cryptographic community's concerns about the origins of these critical parameters.
The discovery provides a "closing chapter" to years of speculation regarding ECDSA's seed values. While the origin was unknown, most researchers already trusted the curves. The revelation that the seeds are based on timestamps means there is no need for users or implementers to take any action or change their current practices regarding ECDSA.
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Anthropic employees, using an AI, have uncovered the origin of the "seed" parameters used in the widely adopted ECDSA cryptographic standard. The seeds, previously unexplained and provided by the NSA, were found to be derived from timestamps, resolving a decades-old cryptographic mystery.