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STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
The Byzantine Generals Problem
ACM Transactions on Programming Languages and Systems (TOPLAS)
An Information Statistics Approach to Data Stream and Communication Complexity
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Some complexity questions related to distributive computing(Preliminary Report)
STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
STOC '83 Proceedings of the fifteenth annual ACM symposium on Theory of computing
Exact communication costs for consensus and leader in a tree
Journal of Discrete Algorithms
Communication Complexity
The Communication Complexity of Set-Disjointness with Small Sets and 0-1 Intersection
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
On the possibility of faster SAT algorithms
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
HotSec'11 Proceedings of the 6th USENIX conference on Hot topics in security
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In this paper, we study the problem of computing the multiparty equality (MEQ) function: n ≥ 2 nodes, each of which is given an input value from {1,...,K}, determine if their inputs are all identical, under the point-to-point communication model. The MEQ function equals to 1 if and only if all n inputs are identical, and 0 otherwise. The communication complexity of the MEQ problem is defined as the minimum number of bits communicated in the worst case. It is easy to show that (n-1) log2 K bits is an upper bound, by constructing a simple algorithm with that cost. In this paper, we demonstrate that communication cost strictly lower than this upper bound can be achieved. We show this by constructing a static protocol that solves the MEQ problem for n = 3, K = 6, of which the communication cost is strictly lower than the above upper bound (2 log2 6 bits). This result is then generalized for large values of n and K.