scispace - formally typeset
Proceedings ArticleDOI

Verifiable secret sharing and multiparty protocols with honest majority

TLDR
In this paper, the authors present a verifiable secret sharing protocol for games with incomplete information and show that the secrecy achieved is unconditional and does not rely on any assumption about computational intractability.
Abstract
Under the assumption that each participant can broadcast a message to all other participants and that each pair of participants can communicate secretly, we present a verifiable secret sharing protocol, and show that any multiparty protocol, or game with incomplete information, can be achieved if a majority of the players are honest. The secrecy achieved is unconditional and does not rely on any assumption about computational intractability. Applications of these results to Byzantine Agreement are also presented.Underlying our results is a new tool of Information Checking which provides authentication without cryptographic assumptions and may have wide applications elsewhere.

read more

Citations
More filters
Book ChapterDOI

Secure communication in broadcast channels: the answer to Franklin and Wright's question

TL;DR: This paper will answer the question whether there exists an efficient protocol to achieve probabilisticly reliable and perfectly private communication when ⌈3t/2⌉ ≥ n > t affirmatively and study related problems.
Book ChapterDOI

Secure Computation from Elastic Noisy Channels

TL;DR: In this paper, the authors study a form of unreliable noisy channels where the unreliability is one-sided, that they name elastic noisy channels: thus, an adversarial receiver can increase the reception reliability unbeknown to the sender, but the sender cannot change the channel characteristic.
Journal ArticleDOI

The Cost of Fault Tolerance in Multi-Party Communication Complexity

TL;DR: This article proves that the impact of failures is significant, at least for the Sum aggregate function in general topologies, and proves that fault-tolerant communication complexity needs to be studied separately from non-fault-tolerance communication complexity, instead of being considered as an “amended” version of the latter.

A Multiparty Computation for Randomly Ordering Players and Making Random Selections

TL;DR: In this writing, a protocol (named “RandomSelect”) is presented using multiplayer computation that provides a means for players to make local choices that when combined, jointly select a permutation randomly.
Journal ArticleDOI

Nearly optimal robust secret sharing

TL;DR: It is proved that a known general approach to improve Shamir’s celebrated secret sharing scheme can make it robust for n parties against any collusion of size, and existing systems employing Shamir-type secret sharing schemes can be made much more robust than previously thought with minimal change.
References
More filters
Journal ArticleDOI

How to share a secret

TL;DR: This technique enables the construction of robust key management schemes for cryptographic systems that can function securely and reliably even when misfortunes destroy half the pieces and security breaches expose all but one of the remaining pieces.
Proceedings ArticleDOI

How to play ANY mental game

TL;DR: This work presents a polynomial-time algorithm that, given as a input the description of a game with incomplete information and any number of players, produces a protocol for playing the game that leaks no partial information, provided the majority of the players is honest.
Proceedings Article

Completeness Theorems for Non-Cryptographic Fault-Tolerant Distributed Computation (Extended Abstract)

TL;DR: The above bounds on t, where t is the number of players in actors, are tight!
Proceedings ArticleDOI

Completeness theorems for non-cryptographic fault-tolerant distributed computation

TL;DR: In this article, the authors show that every function of n inputs can be efficiently computed by a complete network of n processors in such a way that if no faults occur, no set of size t can be found.
Proceedings ArticleDOI

Multiparty unconditionally secure protocols

TL;DR: It is shown that any reasonable multiparty protocol can be achieved if at least 2n/3 of the participants are honest and the secrecy achieved is unconditional.