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Reconstructing public keys from signatures

One weird hobby of mine is reasonable properties of cryptographic schemes that nobody promised they do or don’t have. Whether that’s invisible salamanders or binding through shared secrets, anything that isn’t just boring IND-CCA2 or existential unforgeability is just delightful material to construct vulnerabilities with. Normally, with a signature scheme, you have the public key and want to know whether a given signature is valid. But what if we instead have a message and a signature, assume th...

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