* [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 [-- Attachment #1: Type: text/plain, Size: 1262 bytes --] 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 > [-- Attachment #2: Type: text/html, Size: 2076 bytes --] ^ permalink raw reply [flat|nested] 2+ messages in thread
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