Minimal ed25519 Haskell package, binding to the ref10 SUPERCOP implementation.
Regardless, validating a single transaction isn't O(n2) or even O(n) in the size of the database. It's O(1). A crypto based on Ed25519 Would allow a single raspberry pi to validate 1.5 Ghz / 580916 = 2582 transactions per second, which is about double the entire global visa network. Not bad for a computer that costs $40.
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