Is there any entropy boost in a multisig wallet compared to a single sig?
I’ve been looking for the answer for a while, and no luck. Hopefully someone here knows.
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Discussion
Can you clarify entropy boost? What are you trying to tune?
Let’s imagine that a single private key is created with 128 bits of entropy.
If three such keys are used in a 2/3 multisig wallet, what would the entropy of the individual private keys of the individual UTXOs in that multisig wallet?
I’m wondering whether it would be 128 bits or something more?
I’m just wondering about private keys created on pseudo random generators and whether there is a benefit from multisig setups.
Good question!
To my knowledge, when it comes to a final multisig and the end result of the "addition" of signatures, you'll get another value on the elliptic curve, which results in having the same bits of entropy.
In theory, a 1 of 1 multisig and a 3 of 3 multisig have the same mathematical security. This is because both constructions rely on the same principles of elliptic curve cryptography (ECC).
In practice, if you want to crack a specific 3 of 3 multisig, you would need to obtain the three public keys first. Then, you would need "impossibility luck" for three consecutive times in order to succeed.
For further exploration and insights into this topic, I recommend checking out Programming Bitcoin by Jimmy Song. He provides a great introduction to elliptic curves in his book.
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nostr:npub10vlhsqm4qar0g42p8g3plqyktmktd8hnprew45w638xzezgja95qapsp42 do you know the answer to this?👆🙏