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International Journal of Distributed Sensor Networks
Volume 2013 (2013), Article ID 902462, 9 pages
http://dx.doi.org/10.1155/2013/902462
Research Article

Publicly Verifiable Secret Sharing Scheme with Provable Security against Chosen Secret Attacks

1State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China
2School of Information, Guangdong Ocean University, Zhanjiang, Guangdong 524088, China
3Network Security Research Institute, National Institute of Information and Communications Technology, 4-2-1 Nukui-Kitamachi, Koganei, Tokyo 184-8795, Japan

Received 29 August 2012; Accepted 8 January 2013

Academic Editor: Wensheng Zhang

Copyright © 2013 Yuanju Gan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Secret sharing is an important aspect of key management in wireless ad hoc and sensor networks. In this paper, we define a new secure model of secret sharing, use the Lagrange interpolation and the bilinear cyclic groups to construct an efficient publicly verifiable secret sharing scheme on the basis of this model, and show that this scheme is provably secure against adaptively chosen secret attacks (CSAs) based on the decisional bilinear Diffie-Hellman (DBDH) problem. We find that this scheme has the following properties: (a) point-to-point secure channels are not required in both the secret distribution phase and the secret reconstruction phase; (b) it is a noninteractive secret sharing system in that the participants need not communicate with each other during subshadow verification; and (c) each participant is able to share many secrets with other participants despite holding only one shadow.