On 12/16/24 6:14 AM, Anthony Towns wrote:
On Sun, Dec 15, 2024 at 04:42:59PM -0500, Matt Corallo wrote:
This provides a compelling hook for post-QC security - with the simple
addition of an OP_SPHINCS (or equivalent post-QC non-one-time-use (i.e. not
Lamport/Winternitz) signature verification opcode, functioning in much the
same was OP_CHECKSIG works today), wallets simply need to construct their
taproot outputs to always contain a script-path alternative spending
condition. When QCs are becoming a reality, key-path taproot spends could be
disabled via soft-fork, forcing spends to be done using the QC-secure path.

Some downsides of this approach:

  - "OP_SPHINCS" signatures would be very large, at 8kB to 50kB. That
    reduces inputs spent per block to a maximum of between 500 and 80,
    given the existing constraints on witness data. Compared to bitcoin
    blocks today, as I write, tx cf6391ca [0] is targetting the next block
    and spends over 600 inputs on its own, while taking up only about 4%
    of a block, so this seems like a big limitation. Probably better to
    either pick something with much smaller signatures (which probably
    means risky cryptographic assumptions, or single-use-pubkeys), or
    to increase the block size in one way or another, eg as cryptoquick
    proposes [1].

    [0] cf6391ca2f3c361b666937fe7ae3e283850c9b81682755b7f5ab64bfd4c9503a
    [1] https://github.com/cryptoquick/bips/blob/p2qrh/bip-p2qrh.mediawiki

Sure, of course. The point of this scheme is to provide an *option*. As mentioned in the assumptions, it assumes that we have a decade or more before this is a pressing issue and thus, in practice, the funds in these types of scripts will never use OP_SPHINCS. Instead, as PQC improves over time (or confidence in lattice assumptions increases) other things will be added to replace it, allowing for wallets in active use to be migrated to something more sensible.

Its intended to avoid the issue of funds that don't move for a decade. If we wait around and only add PQC five years before its needed that leaves a lot of funds vulnerable to theft, vs if we give wallets a decade or a decade and a half of time with a PQC option then the total funds vulnerable to theft could be substantially decreased.

  - There's a fair bit of bikeshedding you could do about OP_SPHINCS,
    including choosing different parameters for SPHINCS+, different
    encoding of pubkeys, different "sighash" selectors for what is to
    be signed, and different PQ schemes entirely. Without real quantum
    computers to optimise against, many of those variables probably can't
    be chosen objectively.

Sure, I'm not sure "its bikeshedable" is a *downside* per se, but yea, either parameters would have to be fixed with quite some guessing or it'd have to be configurable.

  - Adding in secret OP_SPHINCS spend paths prior to an OP_SPHINCS
    consensus change being active (or at least locked-in) seems very risky:
     - it provides a way for insiders to cause you to lose all your
       funds (prior to activation, selling your SPHINCS pubkey to a miner
       allows the miner to claim all the funds), with little ability to
       do a k-of-n multisig-like approach to prevent a single bad actor
       from causing problems

Sure, if you lose your "private key" someone can steal your funds. Indeed, this wouldn't allow for multisig until/unless OP_SPHINCS were active.

     - if the parameters that are actually activated are different to
       what you assumed, then your script path might be unspendable
       anyway; if different groups are proposing different parameters,
       and only one gets activated, their funds are accessible while
       everyone else's isn't

Sure, it wouldn't make sense to use such a thing unless you have very strong confidence everyone else is using the same opcode format.

  - Disabling key path taproot spends via soft-fork is extremely
    confiscatory -- for the consensus cleanup, we worry about even the
    possibility of destroying funds due to transaction patterns never
    seen on the network; here, shutting down key path spends would be
    knowingly destroying an enormous range of utxos.

Indeed, I think there's a large debate to be had here, and really we can't make such a decision today. There are a lot of specifica around exactly how a theoretical future QC operates that would materially change this decision, I think, so I'm not sure how much its really worth debating today. That said, if there's been two decades of all wallets having a hidden PQC script path it might be an *option* in a way that just adding a lattice option five years before a QC is available simply would not offer that option.

Hence it makes sense IMO to spec this out so wallets can use it *today* and we can figure this kinda stuff out later.

  - If you're avoiding the confiscatory approach by adding a hard-fork
    in order to make keypath (and potentially ECDSA) funds accessible
    to their owners via some post-quantum mechanism, then there's little
    benefit to having an explicit script path method in advance.

Strongly disagree with this one. The hard-fork spend-via-future-PQC-proof-of-knowledge approach is incredibly speculative, likely to require some vaguely sketchy crypto assumptions, and might well require more on-chain footprint than a hash-based signature. I don't buy that it makes sense to assume schemes that allow for this will exist in a way that we're happy with. Instead, having wallets commit to some OP_SPHINCS buys us a lot of optionality, and could even allow for adding an alternative spend-via-future-PQC-proof-of-knowledge long after "locking" keypath spends.

  - This approach probably isn't compatible with smart contracts,
    particularly if pre-signed transactions are involved. Probably the
    only way to deal with that is to hope you will have enough warning
    to say "in X months, all your smart contracts are broken, so shut
    them down now". There probably isn't any feasible way to do anything
    better than that, though.

Indeed, and I explicitly listed this as an assumption because it seems 
incredibly likely to be the case.

(b) alternatively, we could allow key-path spends for wallets which prove
the script-path is a NUMS point (via some new keypath+proof spend variant).
I doubt many wallets today bother committing to a NUMS point for their
taproot output pubkeys, so this would break existing wallets, but it would
allow for an opt-out scheme.

I don't think this paragraph makes sense? In a post-quantum world,
a legitimate key-path spend could likely be replaced by an attacker
while it was sitting in the mempool, same as for a tx spending a p2pkh
or p2wpkh output.

This is very unclear. A lot needs to be figured out about exactly how a theoretical future QC operates and there may well be some latency to the calculations.

Also, a script-path isn't a point at all, so having
it be a NUMS point doesn't make much sense.

Apologies, I had rewritten this sentence and that was a typo. I'd meant a NUMS 
constant, eg a 0-hash.

Having it be unspendable
can make sense, and is already recommended in BIP 341 (search for
"unspendable"). Conditional key-path spends for taproot outputs is
probably most sensibly done as a hard fork; though it could be done as
a soft fork if the "condition" data was added somewhere other than in
the witness.

What about a different way of allowing wallets to pre-commit to a
post-quantum pubkey? eg, rather than generating a pubkey P directly from
an xprv/xpub and committing to a script path with their post-quantum
pubkey Q; wallets could generate the pubkey as R = P+H(P,Q)*G. At that
point, a hard-fork could be made to allow "R CHECKSIG" (or key path spends
where R is the sPK) to be satisfied via "<Qsig> <Q> <P>", validated
by checking that P+H(P,Q)*G=R, and that Qsig is a valid post-quantum
signature based on Q.

That retains many of the drawbacks above and is only useful if enabled
via a hard fork, however it removes these drawbacks:

   - insiders can steal your funds if you adopt it prior to it becoming
     consensus

I don't see why you consider "if your private key leaks someone can steal your 
funds" to be a drawback.

   - it marginally increases the size of non-post-quantum spends
   - it breaks complicated scripts even without pre-signed transactions

These seem like drawbacks to your scheme.

Matt

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