I want to divide a system that maintains these properties, based on Shamir's Secret Sharing:
- A secret key is split up to N pieces, where T of them are enough to reconstruct the key.
- The original key is then destroyed and doesn't exist anywhere except the N separate pieces.
- The information unlocked by the T signatures is updatable - I want to retain some other information that will allow me to
updatethe secret that is accessible by the secret holders.
The use case is a will that contains secret information. I have N people I trust, and I want any group of T of them to be able to read the secret information (hopefully, only after I'm dead). I want to be able to update this secret information from time to time, without the bother of recreating and redistributing another set of keys.
Is there something that answers these requirements?