The Adversary Strategy Sample Clauses

The Adversary Strategy. For k < ⌊2n/h⌋, the Adversary arranges the parties into a (k, h)-chain, splitting the sender’s cluster S as in section 3.1. It picks two adjacent clusters corrupting all parties outside them. Each transmission from S misses all parties in at least one other cluster. The leftmost such cluster splits the chain into two parts: C0 and C1, one which has no compliant parties. All parties faithfully execute the protocol P except that the sender’s cluster is split, its Sm copy gets input m, and the parties in Cm receive (or pretend to) messages from S as if sent by Xx. With these restrictions on the adversary, no messages or outputs depend on its choice of com- pliant parties. Since the values of S0 and S1 copies of the sender differ, there must be parties in adjacent cluster that disagree on their value. The Adversary defeats the protocol by keeping the conflicting clusters compliant. 4 Proof of the Upper Bound
Sample 1
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