Comparison of AWSS and AWC Sample Clauses

Comparison of AWSS and AWC. Property wise, the sharing protocol of AWSS and the com- mitment protocol of AWC demands the same; namely a dis- tributed commitment to a unique value s, which should be secure if D (resp. Committer) is honest. However, the (sub- tle) difference is between the decommitment protocol and the reconstruction protocol. The difference is about the role of Committer and D for the termination of the respective protocols: the reconstruction protocol of an AWSS scheme does not demand a special role by D to enforce the termi- nation. So this protocol will always terminate (if it is in- voked by the honest parties) even if D is corrupted and does not participate. On the contrary, the decommitment protocol demands a special role from Committer to enforce the ter- mination. Here Committer has to invoke the protocol; so if Committer is corrupted and does not invoke the decommit- ment protocol, this protocol may never terminate. The above difference intuitively suggests that D has to work/communicate “more” during the sharing protocol of an AWSS scheme, as compared to what is done by Committer dur- ing the commitment protocol of an AWC scheme. The ve- racity of the intuition is confirmed by our ability to design an AWC protocol more efficiently than the existing AWSS protocols (for the comparison, see Section 4.3). 9 We often say that s is the value committed by Committer during ⊥ the commitment protocol. The interpretation of s = will be clear during the description of our protocol. 10 It is possible that some honest parties output s, while others output ⊥.
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