3
3 years agoby martindaleat difficulty 2

Formal models and security proofs are especially important for multisignatures: in contrast to threshold signatures, no precise definitions were ever provided for such schemes, and some proposals were subsequently broken. In this paper, we formalize and implement a variant of multi-signature schemes, Accountable-Subgroup Multisignatures (ASM). In essence, ASM schemes enable any subgroup, S, of a given group, G, of potential signers, to sign efficiently a message M so that the signature provably reveals the identities of the signers in S to any verifier.

Accountable-Subgroup Multisignatures
http://groups.csail.mit.edu/cis/pubs/reyzin/multisig.pdf
Formal models and security proofs are especially important for multisignatures: in contrast to threshold signatures, no precise definitions were ever provided for such schemes, and some proposals were subsequently broken. In this paper, we formalize and implement a variant of multi-signature schemes, _Accountable-Subgroup Multisignatures (ASM_). In essence, ASM schemes enable any subgroup, _S_, of a given group, _G_, of potential signers, to sign efficiently a message _M_ so that the signature provably reveals the identities of the signers in _S_ to any verifier.
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