Discrete Mathematics & Theoretical Computer Science
| author: | Josef Pieprzyk and Xian-Mo Zhang |
|---|---|
| title: | On Cheating Immune Secret Sharing |
| keywords: | Secret Sharing, Cheating Prevention, Cheating Immune |
| abstract: | The paper addresses the cheating prevention in secret sharing. We consider secret sharing with binary shares. The secret
also is binary. This model allows us to use results and constructions
from the well developed theory of cryptographically strong boolean
functions. In particular, we prove that for given secret sharing, the
average cheating probability over all cheating vectors and all
original vectors, i.e.,
1/n 2n ∑c=1...n
∑α∈V
n
ρc,α
,
denoted by ρ,
satisfies ρ ≥
½, and the equality holds if and only if
ρc,α satisfies ρc,α=
½ for every cheating vector δc and every
original vector α. In this case the secret sharing is said to
be cheating immune. We further establish a relationship between
cheating-immune secret sharing and cryptographic criteria of boolean
functions.This enables us to construct cheating-immune secret sharing.
If your browser does not display the abstract correctly (because of the different mathematical symbols) you can look it up in the PostScript or PDF files. |
| reference: | Josef Pieprzyk and Xian-Mo Zhang (2004), On Cheating Immune Secret Sharing, Discrete Mathematics and Theoretical Computer Science 6, pp. 253-264 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
| ps.gz-source: | dm060206.ps.gz (52 K) |
| ps-source: | dm060206.ps (142 K) |
| pdf-source: | dm060206.pdf (96 K) |
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