I search about multisignature wallets, but it seems very limited. Far I understand, we can create a wallet with N keys, and specify how many keys is needed to create a transactions.

So, I can create one wallet with 5 keys (K1, K2, K3, K4, K5) and I can specify how many keys (but not which keys!) are needed, so is possible to say: “you need 3 of 5 keys”. However, it makes a K1 + K2 + K3 and K5 + K4 + K2 a valid signature.

It’s possible to specify that which keys are needed rather than how many?

Imagine that have three people (K2, K3, K4) and have a server (K1). Only with K1 + (K2 or K3 or K4) will be valid. It means that K2 + K3 or K4 + K3 can’t be able to create a valid transaction. To be a valid signature we need two signatures, but one of that two need to be the K1.

It’s possible?

The only alternative is creating a multiples multi-signatures. I mean, create three addresses one with (K1 + K2), another with (K1 + K3) and so on. But, it will have multiples address, it is what I’m trying to avoid.