I believe the sending funds only if all parties sign the send transaction is done through a multisig account. I've tried this a while back on Nault (explanation here https://docs.nault.cc/2021/04/20/multisig.html), but I found it to be fairly complicated. That said, I'm not very technical, so that might just be me.
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Thank you!
The Nault explanation was practical but it did not get into the details of what is actually happening behind the scenes. However, by clicking through the links I eventually arrived to PlasmaPower's musig-nano.
The README.md
of this repository points out precisely where the original algorithm was described:
A slightly more compact blog post about the algorithm is also referenced:
https://blog.blockstream.com/en-musig-key-aggregation-schnorr-signatures/
I will try to find the time to read through these. It will probably require a good amount of focus to understand them... Again, thank you for pointing me in the right direction!
Oh, I just realized, if you layer mixing so each participant has more than one address, you can also obfuscate total balances / transaction amounts. the more layers, the more obfuscation, but more accounts and transactions would be needed. and you would have to do this on the receiving end and the future send, or the risk of correlating accounts increases.
Yeah. And if there is a unique sum of inputs that equals a unique sum of outputs, those accounts can be correlated. So it is a probably good idea to split several inputs and outputs into equal amounts.