# Secret sharing - no dealer, modifiable, verifiable

I need to find a secret sharing scheme with these properties:

• The scheme is set up by all participants, ie no single entity called the dealer

• The parameters of secret sharing need to be modifiable,eg enrollment, disenrollment, change of access structure, ...

• Need to be verifiable, ie participants could check whether their shares are consistant with others.

Is this scheme could be available at all !?

I'll appreciate any help to find that.

Thanks in advance.

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Hello and welcome to Crypto.SE. The Dining Cryptographers problem doesn't exactly fit your needs but comes close. Apart from that, what have you tried? (the question as it stands shows lack of research so that last bit is important). – rath Jan 28 '14 at 13:34
This sounds a lot like the Joint-Uncond-Secure-RSS scheme of link.springer.com/chapter/10.1007%2F3-540-68339-9_31. The trick is to let each participant be a dealer, or, put differently, build the scheme around participants who generate their shares randomly. – Henrick Hellström Jan 28 '14 at 16:43
If robustness isn't a requirement, also look at Pedersen's original scheme link.springer.com/chapter/10.1007%2F3-540-46416-6_47 – Henrick Hellström Jan 28 '14 at 17:04
Thanks all friends :) I'm going to check and use these articles specially the last one ;) – user1422847 Jan 28 '14 at 21:26
How is the secret to be determined in the first place? $\;$ – Ricky Demer Jan 29 '14 at 23:14