On cheating immune secret sharing

Pieprzyk, Josef & Zhang, Xian-Mo (2004) On cheating immune secret sharing. Discrete Mathematics and Theoretical Computer Science, 6(2), pp. 253-264.

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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.

Impact and interest:

8 citations in Scopus
4 citations in Web of Science®
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ID Code: 74283
Item Type: Journal Article
Refereed: Yes
Keywords: Secret Sharing, Cheating Prevention, Cheating Immune
ISSN: 1365-8050
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2004 Discrete Mathematics and Theoretical Computer Science (DMTCS)
Deposited On: 23 Jul 2014 01:15
Last Modified: 25 Mar 2015 02:28

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