Re: [bitcoin-dev] Multisig with hashes instead of pubkeys

[Matthew Roberts <matthew@roberts.pm>]

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The following won't be directly applicable to your question without some
kind of tremendous hacking on your part: but in cryptography there is
actually a way to sign a message using only hash functions.

If you're interested look up the definition for "Lamport Signatures." It's
an algorithm for masking the bits of a message by exchanging a table of
hashes prior to signing and then revealing the "secrets" behind said hashes
in such a way that you can selectively mask the bits of the message hash
that you're wishing to sign.

It's actually a really cool algorithm and probably the most elegant thing
I've ever seen in the way of digital signatures - and besides just being
something that's really cool: Lamport Signatures have the advantage of
being quantum safe too (if you care about that kind of thing.)

To actually answer your question indirectly: you would use a consensus
system that understands Lamport signature operations in the "scriptPubKey"
(Ethereum could probably do this now.) And note that as Nick ODell has
already said: using the hashes alone in this scheme won't work since the
moment you publish the transactions with said hash secrets anyone is then
free to pluck out those values and double spend the original transaction to
a new destination (and this is actually the reason why Peter Todd's
proof-of-hash collision scheme in Bitcoin is insecure but still allows us
to incentivize whether or not there may be a flaw with the recent SHA
algorithms.)

Regarding hash protected M of N multi-sig: there is already a similar smart
contract algorithm called "atomic cross-chain contracts" that relies on
hash values to be released as part of the protocol to swap coins across
blockchains but said algorithm also uses ECDSA public keys to prevent the
transactions from being double-spent. So in Bitcoin Multi-sig using hash
values will work - though you still need to include an ECDSA pub key to
protect them from attackers on the network.

(I hope this helps. You didn't say much about the intended use-case for
this.)

On Fri, Dec 23, 2016 at 4:29 AM, Andrew via bitcoin-dev <
bitcoin-dev@lists.linuxfoundation.org> wrote:

> Hi
>
> Is there a worked out scriptPubKey for doing multisig with just hashes
> of the participants? I think it is doable and it is more secure to a
> compromised ECDSA. I'm thinking something like this for the
> scriptPubKey:
>  2 OP_SWAP OP_SWAP OP_SWAP OP_DUP OP_HASH160 <pubKeyHash1>
> OP_EQUALVERIFY OP_DUP OP_HASH160 <pubKeyHash2> OP_EQUALVERIFY OP_DUP
> OP_HASH160 <pubKeyHash3> OP_EQUALVERIFY 3 OP_CHECKMULTISIG
>
> and <sigs><pubkeys> for the scriptSig
>
> Can anyone confirm or send me a link to the worked out script?
>
> Thanks
>
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