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Book ChapterDOI

An Efficient Robust Secret Sharing Scheme with Optimal Cheater Resiliency

TLDR
A simple t-out-of-n secret sharing scheme, which can reconstruct the secret in presence of t cheating participants except with probability at most δ, provided t < n/2, is designed.
Abstract
In this paper, we consider the problem of (t, δ) robust secret sharing secure against rushing adversary. We design a simple t-out-of-n secret sharing scheme, which can reconstruct the secret in presence of t cheating participants except with probability at most δ, provided t < n/2. The later condition on cheater resilience is optimal for the case of public reconstruction of the secret, on which we focus in this work.

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References
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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.
Book

The Theory of Error-Correcting Codes

TL;DR: This book presents an introduction to BCH Codes and Finite Fields, and methods for Combining Codes, and discusses self-dual Codes and Invariant Theory, as well as nonlinear Codes, Hadamard Matrices, Designs and the Golay Code.
Proceedings ArticleDOI

Safeguarding cryptographic keys

TL;DR: Certain cryptographic keys, such as a number which makes it possible to compute the secret decoding exponent in an RSA public key cryptosystem, 1 , 5 or the system master key and certain other keys in a DES cryptos system, 3 are so important that they present a dilemma.
Book ChapterDOI

Self Protecting Pirates and Black-Box Traitor Tracing

TL;DR: In this article, it was shown that the Boneh-Franklin (BF) scheme and the Kurosawa-Desmedt (KDS) scheme have no black-box traceability in the self-protecting model when the number of traitors is super-logarithmic.
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