Active security in multiparty computation over black-box groups
Desmedt, Yvo, Pieprzyk, Josef, & Steinfeld, Ron (2012) Active security in multiparty computation over black-box groups. Lecture Notes in Computer Science : Security and Cryptography for Networks, 7485, pp. 503-521.
Most previous work on unconditionally secure multiparty computation has focused on computing over a finite field (or ring). Multiparty computation over other algebraic structures has not received much attention, but is an interesting topic whose study may provide new and improved tools for certain applications. At CRYPTO 2007, Desmedt et al introduced a construction for a passive-secure multiparty multiplication protocol for black-box groups, reducing it to a certain graph coloring problem, leaving as an open problem to achieve security against active attacks.
We present the first n-party protocol for unconditionally secure multiparty computation over a black-box group which is secure under an active attack model, tolerating any adversary structure Δ satisfying the Q 3 property (in which no union of three subsets from Δ covers the whole player set), which is known to be necessary for achieving security in the active setting. Our protocol uses Maurer’s Verifiable Secret Sharing (VSS) but preserves the essential simplicity of the graph-based approach of Desmedt et al, which avoids each shareholder having to rerun the full VSS protocol after each local computation. A corollary of our result is a new active-secure protocol for general multiparty computation of an arbitrary Boolean circuit.
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|Item Type:||Journal Article|
|Additional Information:||8th International Conference, SCN 2012, Amalfi, Italy, September 5-7, 2012. Proceedings|
|Keywords:||Multi-Party Computation, General Adversary Structures, Non-Abelian Group, Black-Box, Graph Colouring, Active Security|
|Divisions:||Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2012 Springer-Verlag Berlin Heidelberg|
|Deposited On:||03 Apr 2014 01:49|
|Last Modified:||16 Jul 2014 10:31|
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