Perfectly secure message transmission
Journal of the ACM (JACM)
Asynchronous secure computation
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Asynchronous secure computations with optimal resilience (extended abstract)
PODC '94 Proceedings of the thirteenth annual ACM symposium on Principles of distributed computing
Impossibility of distributed consensus with one faulty process
Journal of the ACM (JACM)
Anonymous secret sharing schemes
Discrete Applied Mathematics
On perfectly secure communication over arbitrary networks
Proceedings of the twenty-first annual symposium on Principles of distributed computing
General Adversaries in Unconditional Multi-party Computation
ASIACRYPT '99 Proceedings of the International Conference on the Theory and Applications of Cryptology and Information Security: Advances in Cryptology
Perfectly secure message transmission in asynchronous networks
SPDP '95 Proceedings of the 7th IEEE Symposium on Parallel and Distributeed Processing
On the Power of Nonlinear Secret-Sharing
CCC '01 Proceedings of the 16th Annual Conference on Computational Complexity
On Minimal Connectivity Requirement for Secure Message Transmission in Asynchronous Networks
ICDCN '09 Proceedings of the 10th International Conference on Distributed Computing and Networking
Secure message transmission in asynchronous networks
Journal of Parallel and Distributed Computing
AFRICACRYPT'10 Proceedings of the Third international conference on Cryptology in Africa
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We study the problem of secure communication tolerating generalized mixed adversaries across an underlying completely asynchronous incomplete network. We explore the interplay between the minimal network connectivity required and the degree of security attainable, and completely characterize the network requirements for attaining perfect and unconditional (with negligible error) security. We also consider networks with additional broadcast capabilities and prove that unconditionally secure communication can be achieved with much lesser connectivity if the network assures the broadcast primitive.