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STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Multiparty unconditionally secure protocols
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
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PODC '91 Proceedings of the tenth annual ACM symposium on Principles of distributed computing
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Journal of the ACM (JACM)
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STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
Efficient perfectly secure message transmission in synchronous networks
Information and Computation
Proactive public key and signature systems
Proceedings of the 4th ACM conference on Computer and communications security
On perfectly secure communication over arbitrary networks
Proceedings of the twenty-first annual symposium on Principles of distributed computing
Proactive Secret Sharing Or: How to Cope With Perpetual Leakage
CRYPTO '95 Proceedings of the 15th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '97 Proceedings of the 17th Annual International Cryptology Conference on Advances in Cryptology
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EUROCRYPT '02 Proceedings of the International Conference on the Theory and Applications of Cryptographic Techniques: Advances in Cryptology
A system for graph-based visualization of the evolution of software
Proceedings of the 2003 ACM symposium on Software visualization
Visual Unrolling of Network Evolution and the Analysis of Dynamic Discourse
INFOVIS '02 Proceedings of the IEEE Symposium on Information Visualization (InfoVis'02)
Proactive secure message transmission in asynchronous networks
Proceedings of the twenty-second annual symposium on Principles of distributed computing
Efficient Perfectly Reliable and Secure Message Transmission Tolerating Mobile Adversary
ACISP '08 Proceedings of the 13th Australasian conference on Information Security and Privacy
Perfectly Reliable and Secure Communication Tolerating Static and Mobile Mixed Adversary
ICITS '08 Proceedings of the 3rd international conference on Information Theoretic Security
Perfectly reliable and secure message transmission tolerating mobile adversary
International Journal of Applied Cryptography
On composability of reliable unicast and broadcast
ICDCN'10 Proceedings of the 11th international conference on Distributed computing and networking
ACNS'11 Proceedings of the 9th international conference on Applied cryptography and network security
AFRICACRYPT'10 Proceedings of the Third international conference on Cryptology in Africa
Secure message transmission in asynchronous directed graphs
INDOCRYPT'11 Proceedings of the 12th international conference on Cryptology in India
On the communication complexity of reliable and secure message transmission in asynchronous networks
ICISC'11 Proceedings of the 14th international conference on Information Security and Cryptology
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This paper studies the interplay of network connectivity and perfectly secure message transmission under the corrupting influence of a Byzantine mobile adversary that may move from player to player but can corrupt no more than t players at any given time. It is known that, in the stationary adversary model where the adversary corrupts the same set of t players throughout the protocol, perfectly secure communication among any pair of players is possible if and only if the underlying synchronous network is (2t + 1)-connected. Surprisingly, we show that (2t + 1)-connectivity is sufficient (and of course, necessary) even in the proactive (mobile) setting where the adversary is allowed to corrupt different sets of t players in different rounds of the protocol. In other words, adversarial mobility has no effect on the possibility of secure communication. Towards this, we use the notion of a Communication Graph, which is useful in modelling scenarios with adversarial mobility. We also show that protocols for reliable and secure communication proposed in [15] can be modified to tolerate the mobile adversary. Further these protocols are round-optimal if the underlying network is a collection of disjoint paths from the sender S to receiver R.