Cheating immune secret sharing

Zhang, Xian-Mo & Pieprzyk, Josef (2001) Cheating immune secret sharing. Lecture Notes in Computer Science : Information and Communications Security, 2229, pp. 144-149.

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Abstract

We consider secret sharing with binary shares. This model allows us to use the well developed theory of cryptographically strong boolean functions. We prove that for given secret sharing, the average cheating probability over all cheating and original vectors, i.e., ρ ¯= 1 n ⋅ 2 −n ∑ n c=1 ∑ α∈Vn ρ c,α , satisfies ρ ¯⩾ 1 2 , and the equality holds ⇔ ρc,α satisfies ρc,α = 1/2 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.

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ID Code: 73322
Item Type: Journal Article
Refereed: Yes
DOI: 10.1007/3-540-45600-7_16
ISSN: 0302-9743
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 03 Jul 2014 02:45
Last Modified: 03 Jul 2014 02:45

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