I'm not suggesting this is the right approach, but I believe the rationale
for a hybrid scheme would be to enable lattice signatures with their
superior functionality over hash-based schemes, while hedging against a
break in lattice security using BIP340.

On Sat, May 23, 2026 at 8:44 AM 'conduition' via Bitcoin Development
Mailing List <[email protected]> wrote:

> Hi Isabel,
>
> I'm curious to get your thoughts on the following: it sounds like Dan is
> advocating for a hybrid scheme and I'm wondering if this would render the
> strategy of implementing different signatures at different times less
> practical? In other words, does it still make sense to implement something
> like SHRINCS before a lattice-based signature — if we're ultimately hoping
> to implement a single hybrid scheme as Dan proposes here?
>
>
> Argh, I'm a bit torn about the idea of a unified hybrid scheme. Like on
> one-hand, yes, technically if we wanted to maximize security and reduce
> misuse, we could do it. For example, SHRINCS+BIP340 in a single unified
> scheme. Or HAWK+BIP340. This would be strictly more secure than any of
> these individual schemes in isolation.
>
> But also, a unified hybrid scheme would immediately be handicapped and
> uncompetitive after Q-day. It would inflate witness sizes by around 100
> bytes per input, and complicate signer code for no good reason (except
> arguably to mitigate statefulness risks). A hybrid scheme would create
> a technical debt we'd have to pay off later by migrating everyone to a pure
> PQC scheme, maybe even requiring another soft-fork. That kind of tech-debt
> is easier to pay off in a web2 world, but not so easy on a blockchain.
>
> Perhaps there is a way to engineer it such that we can soft-fork the ECC
> component of a hybrid-scheme out later without the need to migrate
> everyone. Or we can bind individual schemes together into a hybrid scheme
> using feature flags (e.g. each pubkey starts with a flag byte, where bit 0
> turns on BIP340, and bit 1 turns on SHRINCS, etc), and let users migrate on
> their own without a follow-up soft-fork.
>
> However, I'm not convinced that any of this engineering complexity is
> necessary when you can achieve comparable security by hiding keys for
> classical and PQ schemes in two different P2MR script leaves, which was an
> OG defining use-case of P2MR.
>
> Or you can get almost exactly the same security, if you use both schemes
> in the same script leaf: Anyone who wants the security of a hybrid
> BIP340+SHRINCS scheme is free to implement it, and we could even write
> wallet standards for it. But to *require* everyone to use a hybrid scheme
> seems overkill to me, especially if we're talking about hash-based sigs
> which are arguably *more* classically secure than ECC (modulo the risks
> of stateful schemes).
>
> regards,
> conduition
> On Saturday, May 23rd, 2026 at 6:49 AM, Isabel Foxen Duke <
> [email protected]> wrote:
>
> Hi Conduition,
>
> Nevermind on the hybrid scheme question -- Jonas explained in this thread
> <https://x.com/isabelfoxenduke/status/2057839255049716173?s=20> that
> hybrid scheme is likely something that would happen on the wallet level
> (not consensus/opcode level), so this is now clarified on my end - thanks
> again for all your help!
>
> x Isabel
>
>
>
> On Friday, May 22, 2026 at 8:25:41 AM UTC-7 Isabel Foxen Duke wrote:
>
>> Hi Conduition,
>>
>> So glad you enjoyed the interview
>> <https://www.youtube.com/watch?v=F-HG87VJj_k&t=4046s>! I'm thrilled Dan
>> is speaking on quantum-issues more publicly these days :)
>>
>> Noted about threshold signatures and other features potentially being
>> only theoretical and not truly practical with Lattice based signatures. I
>> will bring this up with Dan and see if he has any comment here - or if he
>> has updates that may affect thinking on this.
>>
>> I'm curious to get your thoughts on the following: it sounds like Dan is
>> advocating for a hybrid scheme and I'm wondering if this would render the
>> strategy of implementing different signatures at different times less
>> practical? In other words, does it still make sense to implement something
>> like SHRINCS *before* a lattice-based signature — if we're ultimately
>> hoping to implement a single hybrid scheme as Dan proposes here
>> <https://x.com/isabelfoxenduke/status/2057839255049716173?s=20>?
>>
>> thanks for all your hard work on this
>>
>> Warmly,
>> Isabel Foxen Duke
>>
>> On Thursday, May 21, 2026 at 12:29:21 PM UTC-7 conduition wrote:
>>
>>> Hey Isabel, I watched the interview, very cool stuff. I loved seeing Dan
>>> dodge your question about the mysterious "restrictions" google was under
>>> (hello NSA).
>>>
>>> Dan is right that lattice-based crypto offers the *promise* of
>>> algebraic structure, whereas hash-based crypto offers none. Having open
>>> research avenues towards goals like threshold signatures is a great thing. 
>>> Yet
>>> the promise of the algebraic structure in lattices hasn't materialized into
>>> anything usable. At least, there are no schemes - yet - which tick the
>>> boxes we need. At best we have *hope *for future developments. Lattice
>>> threshold and key-rerandomization schemes will likely improve from where
>>> they are now, but until proven otherwise we should make choices about
>>> consensus based on what we have, not what we *hope* we will have
>>> someday.
>>>
>>> Also, in the interview Dan acted as though deploying hash-based
>>> signatures would preclude the deployment of lattice crypto later. It
>>> doesn't. If we deploy a more cutting-edge cryptosystem like HAWK or
>>> SQIsign, it will be once we have a suitably flexible and compact schemes
>>> ready to build atop it, and when that happens we will still be glad to have
>>> hash-based crypto as a backstop in case the cutting-edge assumptions (or
>>> implementations) are busted.
>>>
>>> regards,
>>> conduition
>>> On Wednesday, May 20th, 2026 at 3:47 PM, Isabel Foxen Duke <
>>> [email protected]> wrote:
>>>
>>> FWIW —
>>>
>>> "I would actually like to push for lattice-based signatures..." says Dan
>>> Boneh in new interview
>>> <http://youtube.com/watch?v=F-HG87VJj_k&feature=youtu.be> out this
>>> morning (1:11:00)
>>>
>>> He primarily cites algebraic structure as allowing greater functionality
>>> - and is concerned that features like threshold signature schemes will be
>>> much harder to implement with hash-based signatures.
>>>
>>> -Isabel Foxen Duke
>>>
>>> On Tuesday, May 19, 2026 at 8:27:40 PM UTC-7 conduition wrote:
>>>
>>>> Hey Nikita, thanks for broaching the idea.
>>>>
>>>> I can't speak for Blockstream, but as to the spirit of your question -
>>>> Why people are looking at hash-based sigs more than lattices - I can think
>>>> of four major reasons:
>>>>
>>>> 1. Conservatism. Hash based signatures are incredibly conservative.
>>>> They rely on strictly weaker assumptions than what we already depend on for
>>>> other things. No other family of signatures can claim this property, and
>>>> for something as inflexible-yet-sensitive as Bitcoin, conservativism is
>>>> appealing.
>>>>
>>>> 2. Simplicity. Hash-based signatures are easier to grasp, simpler to
>>>> prove secure, and easier to implement compared to almost anything else
>>>> (even simpler than ECC). We Bitcoiners tend to clutch our pearls in fear of
>>>> trusting flawed assumptions... but in reality most vulnerabilities are not
>>>> cryptographic in nature: Most are implementation failures. Hash-based sigs
>>>> are harder (but not impossible) to screw up. An experienced engineer can
>>>> implement FIPS-205 (SPHINCS) in a weekend, or less with AI tools. This
>>>> simplicity also makes hash-based sigs easier to pitch during consensus
>>>> debates: It's harder to fear something once you understand it.
>>>>
>>>> 3. Efficiency. Hash-based sigs are surprisingly fast to verify [0].
>>>> Their cost-per-byte is way lower than Schnorr. If you can bite the
>>>> statefulness bullet, hash-based sigs can even be compact (and still fast).
>>>> There remains some hope we might be able to use them as a daily driver if
>>>> CRQCs appear faster than anticipated. This efficiency comes at a price of
>>>> course, but that price is paid by the signer implementation while verifiers
>>>> remain slim, quick, and secure.
>>>>
>>>> 4. Future-proofing. Because of their conservatism, hash-based sigs
>>>> stand a better chance of remaining secure over a long time-frame, so it
>>>> seems more likely we could rely on them to fulfill a long-term fallback
>>>> role. We will likely someday need to deploy a new cryptosystem to replace
>>>> ECC as a daily driver if ECDLP is broken, whether classically or by a CRQC.
>>>> When/if this happens, we'll be REALLY glad we added hash-based sigs first,
>>>> because then we'll have something to use if the novel scheme's assumptions
>>>> (or more likely, implementation) are broken.
>>>>
>>>> This is not to say we shouldn't be researching lattices. Or isogenies,
>>>> or anything else for that matter. We need to know what's possible, and to
>>>> educate the community about the options we have. I'm glad to see
>>>> Blockstream funding this important work. I view hash-based sigs as the
>>>> first episode of a decades-long saga, but unfortunately we lack enough
>>>> knowledge to know what should come next. Maybe that is lattices? maybe
>>>> something else. With time, effort, and (hopefully) funding, we shall find
>>>> out.
>>>>
>>>> If I had to pen a wishlist of stuff I'd like to see from lattice crypto
>>>> research, this would be it:
>>>>
>>>> - [ ] compact keys and sigs. Ideally, less than a kilobyte witness size
>>>> total, but I'd be happy with at least a twofold improvement over what
>>>> stateless hash-based sigs can offer.
>>>> - [ ] rerandomization e.g. BIP32 unhardened derivation. This has been
>>>> done [1], but AFAIK it is impossible without massively expanding the sizes
>>>> of keys and/or signatures.
>>>> - [ ] a multisignature scheme, or a threshold protocol with a DKG.
>>>> Again, never seen this without massive keys and sigs, but I see no reason
>>>> why it should be impossible.
>>>> - [ ] integer-only arithmetic. Falcon keys and sigs are smaller than
>>>> ML-DSA, but it comes at the expense of complex floating point arithmetic
>>>> headaches. It'd be nice if we could do away with that.
>>>> - [ ] signature aggregation. This is a more general wish of any PQ
>>>> scheme, and if someone can do it, even with somewhat large sigs or poor
>>>> performance, it might make the whole scheme way more palatable, in tandem
>>>> with a CISA proposal.
>>>>
>>>> Also see this relevant delvingbitcoin thread [1] for more sources.
>>>>
>>>> regards,
>>>> conduition
>>>>
>>>> [0]: https://conduition.io/code/fast-slh-dsa-verification/
>>>> [1]:
>>>> https://delvingbitcoin.org/t/post-quantum-hd-wallets-silent-payments-key-aggregation-and-threshold-signatures/1854/
>>>>
>>>> On Tuesday, May 19th, 2026 at 9:06 PM, Nikita Karetnikov <
>>>> [email protected]> wrote:
>>>>
>>>> > Dear list,
>>>> >
>>>>
>>>> > I hate to contribute to the recent flood of PQC posts, but I think
>>>> it’s an important issue that’s worth discussing.
>>>> >
>>>>
>>>> > In particular, what I usually see is various competing proposals
>>>> without a clear winner.
>>>> >
>>>>
>>>> > So I’d like to bring everyone’s attention to this new post from
>>>> Blockstream:
>>>> >
>>>> https://blog.blockstream.com/schnorr-but-with-vectors-lattice-based-signatures-explained/
>>>> >
>>>>
>>>> > This post is interesting because unlike a lot of PQC discussions, it
>>>> actually includes a comparison table of various approaches, where lattices
>>>> seem to come out ahead.
>>>> >
>>>>
>>>> > This raises a few questions.
>>>> >
>>>>
>>>> > Since lattices are not a new topic in cryptography, why has
>>>> Blockstream focused their efforts on hash-based approaches so far?
>>>> > Are hashes seen as a more conservative choice?
>>>> >
>>>>
>>>> > Given the problems with hashes outlined in the post, are lattices
>>>> actually the current most likely candidate for a PQC implementation?
>>>> > If so, should the community effort be focused on lattices instead of
>>>> other proposals?
>>>> > Or is the comparison table not telling the whole story?
>>>> >
>>>>
>>>> > I’d like to hear your thoughts on the topic.
>>>> >
>>>>
>>>> > Thanks,
>>>> > Nikita
>>>> >
>>>>
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>>>>
>>>> >
>>>>
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