* [bitcoin-dev] Schnorr sigs vs pairing sigs
@ 2020-03-05 19:01 Erik Aronesty
2020-03-06 6:40 ` Lloyd Fournier
0 siblings, 1 reply; 2+ messages in thread
From: Erik Aronesty @ 2020-03-05 19:01 UTC (permalink / raw)
To: Bitcoin Protocol Discussion
Schnorr sigs rely so heavily on the masking provided by a random
nonce. There are so many easy ways to introduce bias (hash + modulo,
for example).
Even 2 bits of bias can result in serious attacks:
https://ecc2017.cs.ru.nl/slides/ecc2017-tibouchi.pdf
Maybe pairing based sigs - which are slower - might be both more
flexible, and better suited to secure implemetnations?
^ permalink raw reply [flat|nested] 2+ messages in thread
* Re: [bitcoin-dev] Schnorr sigs vs pairing sigs
2020-03-05 19:01 [bitcoin-dev] Schnorr sigs vs pairing sigs Erik Aronesty
@ 2020-03-06 6:40 ` Lloyd Fournier
0 siblings, 0 replies; 2+ messages in thread
From: Lloyd Fournier @ 2020-03-06 6:40 UTC (permalink / raw)
To: Erik Aronesty, Bitcoin Protocol Discussion
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Hi Erik,
There are a strong arguments for and against pairing based sigs in Bitcoin.
One very strong argument in favour over non-deterministic signatures like
Schnorr over BLS is it enables a kind of signature encryption called
"adaptor signatures". This construction is key to many exciting up and
coming layer 2 protocols and isn't possible unless the signature scheme
uses randomness.
self plug: I have a paper on this topic called "One-Time Verifiably
Encrypted Signatures A.K.A Adaptor Signatures"
https://github.com/LLFourn/one-time-VES/blob/master/main.pdf
LL
On Fri, Mar 6, 2020 at 6:03 AM Erik Aronesty via bitcoin-dev <
bitcoin-dev@lists•linuxfoundation.org> wrote:
> Schnorr sigs rely so heavily on the masking provided by a random
> nonce. There are so many easy ways to introduce bias (hash + modulo,
> for example).
>
> Even 2 bits of bias can result in serious attacks:
>
> https://ecc2017.cs.ru.nl/slides/ecc2017-tibouchi.pdf
>
> Maybe pairing based sigs - which are slower - might be both more
> flexible, and better suited to secure implemetnations?
> _______________________________________________
> bitcoin-dev mailing list
> bitcoin-dev@lists•linuxfoundation.org
> https://lists.linuxfoundation.org/mailman/listinfo/bitcoin-dev
>
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2020-03-05 19:01 [bitcoin-dev] Schnorr sigs vs pairing sigs Erik Aronesty
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