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<jonasschnelli>
I'm looking for research or pre-work on the study how to include arbitrary (small) data in secp256k1 signatures by using non-RFC6979 nonces
<jonasschnelli>
in a way that is intractable for anyone on the blockchain expect the one forging those nonces
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<nickler>
If signer and blockchain observer both know the signing key the signer can choose the nonce to be H(RFC6979-nonce, a-few-bruteforceable-bits-of-data). Or are you talking about private key exfiltration through the nonce?
<jonasschnelli>
nickler: I'm looking for an attack where the attacker leaks another private key (assume the seed) through a nonce. So the privkey used for signing is not directly related to the leaked data (leaked seed)
<nickler>
Ah, in that case I think the nonce could be chosen as something like hash(hash(xQ), m, bruteforceable-bits-of-seed), where x is the signing key and Q is the attackers public key.
<nickler>
There's a PR in libsecp with a different approach using a sign-to-contract commitment to host-supplied randomness (less stateful, meshes better with key derivation) https://github.com/bitcoin-core/secp256k1/pull/590
<jonasschnelli>
nickler: yeah. I just saw that PR
<jonasschnelli>
But for k= hash(hash(xQ), m, bruteforceable-bits-of-seed), the attacker needs to now x as well in order to reconstruct the seed?
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<nickler>
No this is DH. If the attackers secret key is y s.t. y*G = Q, then the attacker can compute y*P = x*Q
<jonasschnelli>
I see. Thanks
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