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.

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Citations
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Book

Handbook of Applied Cryptography

TL;DR: A valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography, this book provides easy and rapid access of information and includes more than 200 algorithms and protocols.
Proceedings ArticleDOI

Universally composable security: a new paradigm for cryptographic protocols

TL;DR: The notion of universally composable security was introduced in this paper for defining security of cryptographic protocols, which guarantees security even when a secure protocol is composed of an arbitrary set of protocols, or more generally when the protocol is used as a component of a system.
Book ChapterDOI

Non-Interactive and Information-Theoretic Secure Verifiable Secret Sharing

TL;DR: It is shown how to distribute a secret to n persons such that each person can verify that he has received correct information about the secret without talking with other persons.
Journal ArticleDOI

Security and Composition of Multiparty Cryptographic Protocols

TL;DR: In this article, the authors present general definitions of security for multiparty cryptographic protocols, with focus on the task of evaluating a probabilistic function of the parties' inputs, and show that, with respect to these definitions, security is preserved under a natural composition operation.
Journal ArticleDOI

Proofs that yield nothing but their validity or all languages in NP have zero-knowledge proof systems

TL;DR: In this article, it was shown that all languages in NP have zero-knowledge interactive proofs, which are probabilistic and interactive proofs that, for the members of a language, efficiently demonstrate membership in the language without conveying any additional knowledge.
References
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Book ChapterDOI

How to share a secret with cheaters

TL;DR: It is demonstrated that Shamir's scheme is not secure against cheating, and a small modification to his scheme retains the security and efficiency of the original, and preserves the property that its security does not depend on any unproven assumptions such as the intractability of computing number-theoretic functions.