STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Completeness theorems for non-cryptographic fault-tolerant distributed computation
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
Non-cryptographic fault-tolerant computing in constant number of rounds of interaction
Proceedings of the eighth annual ACM Symposium on Principles of distributed computing
Verifiable secret sharing and multiparty protocols with honest majority
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
The round complexity of secure protocols
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Strong verifiable secret sharing (extended abstract)
Proceedings of the 4th international workshop on Distributed algorithms
Journal of the ACM (JACM)
Multiparty protocols tolerating half faulty processors
CRYPTO '89 Proceedings on Advances in cryptology
SIAM Journal on Computing
Bit optimal distributed consensus
Computer science
A minimal model for secure computation (extended abstract)
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
Robust sharing of secrets when the dealer is honest or cheating
Journal of the ACM (JACM)
Adaptively secure multi-party computation
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Reaching Agreement in the Presence of Faults
Journal of the ACM (JACM)
On the complexity of verifiable secret sharing and multiparty computation
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
From partial consistency to global broadcast
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
The Byzantine Generals Problem
ACM Transactions on Programming Languages and Systems (TOPLAS)
Communications of the ACM
Distributed Algorithms
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
On Verification in Secret Sharing
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing
CRYPTO '91 Proceedings of the 11th Annual International Cryptology Conference on Advances in Cryptology
Non-Interactive CryptoComputing For NC1
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Private Simultaneous Messages Protocols with Applications
ISTCS '97 Proceedings of the Fifth Israel Symposium on the Theory of Computing Systems (ISTCS '97)
Fast consensus in networks of bounded degree
Distributed Computing
Verifiable secret sharing and achieving simultaneity in the presence of faults
SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
A practical scheme for non-interactive verifiable secret sharing
SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science
Efficient multiparty computations secure against an adaptive adversary
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
General secure multi-party computation from any linear secret-sharing scheme
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Minimal-latency secure function evaluation
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
Perfect Constant-Round Secure Computation via Perfect Randomizing Polynomials
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
On 2-Round Secure Multiparty Computation
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
Linear VSS and Distributed Commitments Based on Secret Sharing and Pairwise Checks
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
INDOCRYPT '02 Proceedings of the Third International Conference on Cryptology: Progress in Cryptology
On Unconditionally Secure Robust Distributed Key Distribution Centers
ASIACRYPT '02 Proceedings of the 8th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
How to spread adversarial nodes?: rotate!
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
A novel collusion-resilient architecture for secure group communication in wireless ad-hoc networks
Journal of High Speed Networks - Special issue on trusted internet workshop (TIW) 2004
Towards a scalable and robust DHT
Proceedings of the eighteenth annual ACM symposium on Parallelism in algorithms and architectures
Round-Efficient Secure Computation in Point-to-Point Networks
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Atomic Secure Multi-party Multiplication with Low Communication
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Improving the Round Complexity of VSS in Point-to-Point Networks
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part II
On expected constant-round protocols for Byzantine agreement
Journal of Computer and System Sciences
Improving the round complexity of VSS in point-to-point networks
Information and Computation
Simple and efficient asynchronous byzantine agreement with optimal resilience
Proceedings of the 28th ACM symposium on Principles of distributed computing
Secure Multi-party Computation Minimizing Online Rounds
ASIACRYPT '09 Proceedings of the 15th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
Round efficiency of multi-party computation with a dishonest majority
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
Universally-composable two-party computation in two rounds
CRYPTO'07 Proceedings of the 27th annual international cryptology conference on Advances in cryptology
Efficient statistical asynchronous verifiable secret sharing with optimal resilience
ICITS'09 Proceedings of the 4th international conference on Information theoretic security
Secure multiparty computation with minimal interaction
CRYPTO'10 Proceedings of the 30th annual conference on Advances in cryptology
Round-efficient sub-linear zero-knowledge arguments for linear algebra
PKC'11 Proceedings of the 14th international conference on Practice and theory in public key cryptography conference on Public key cryptography
Secure message transmission in asynchronous networks
Journal of Parallel and Distributed Computing
The round complexity of perfectly secure general VSS
ICITS'11 Proceedings of the 5th international conference on Information theoretic security
A verifiable distributed oblivious transfer protocol
ACISP'11 Proceedings of the 16th Australasian conference on Information security and privacy
Share conversion, pseudorandom secret-sharing and applications to secure computation
TCC'05 Proceedings of the Second international conference on Theory of Cryptography
Constant-round multiparty computation using a black-box pseudorandom generator
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
Secure computation of constant-depth circuits with applications to database search problems
CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
On expected constant-round protocols for byzantine agreement
CRYPTO'06 Proceedings of the 26th annual international conference on Advances in Cryptology
Scalable secure multiparty computation
CRYPTO'06 Proceedings of the 26th annual international conference on Advances in Cryptology
AFRICACRYPT'10 Proceedings of the Third international conference on Cryptology in Africa
Round-Optimal and efficient verifiable secret sharing
TCC'06 Proceedings of the Third conference on Theory of Cryptography
Computational verifiable secret sharing revisited
ASIACRYPT'11 Proceedings of the 17th international conference on The Theory and Application of Cryptology and Information Security
Verifiable secret sharing in a total of three rounds
Information Processing Letters
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The round complexity of interactive protocols is one of their most important complexity measures. In this work we study the exact round complexity of two basic secure computation tasks: Verifiable Secret Sharing (VSS) and Secure Multicast.VSS allows a dealer to share a secret among several players in a way that would later allow a unique reconstruction of the secret. It is a well-studied primitive, which is used as a building block in virtually every general protocol for secure multi-party computation. Secure multicast is perhaps the simplest non-trivial instance of a secure computation. It allows a dealer to securely distribute an identical message to all players in a prescribed subset M. Both types of protocols are parameterized by the number of players, n, and a security threshold, t, which bounds the total number of malicious players (possibly including the dealer).We focus on a standard setting of perfect information-theoretic security, where all players have access to secure point-to-point channels and a common broadcast medium. For both types of primitives we prove, using related techniques, tight tradeoffs between the round complexity and the achievable security threshold. Specifically, for the VSS problem we show:2-round VSS is possible iff n4t, where the ``if'' direction is realized by an efficient protocol.3-round VSS is possible iff n3t, where the ``if'' direction is realized by an inefficient protocol.4-round efficient VSS is possible if n3t.For the secure multicast problem we show:2-round secure multicast is (efficiently) possible iff