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Open AccessArticle

Exponential Arithmetic Based Self-Healing Group Key Distribution Scheme with Backward Secrecy under the Resource-Constrained Wireless Networks

by Hua Guo 1,*,†,‡, Yandong Zheng 1,‡, Xiyong Zhang 2,‡ and Zhoujun Li 1,‡
1
State Key Laboratory of Software Development Environment, Beihang University, Beijing 100000, China
2
State Key Lab of Mathematical Engineering and Advanced Computing, Wuxi 214000, China
*
Author to whom correspondence should be addressed.
Current address: State Key Laboratory of Software Development Environment, Beihang University, Beijing 100000, China
These authors contributed equally to this work.
Academic Editor: Rongxing Lu
Sensors 2016, 16(5), 609; https://doi.org/10.3390/s16050609
Received: 2 March 2016 / Revised: 13 April 2016 / Accepted: 21 April 2016 / Published: 28 April 2016
(This article belongs to the Special Issue Security and Privacy in Sensor Networks)
In resource-constrained wireless networks, resources such as storage space and communication bandwidth are limited. To guarantee secure communication in resource-constrained wireless networks, group keys should be distributed to users. The self-healing group key distribution (SGKD) scheme is a promising cryptographic tool, which can be used to distribute and update the group key for the secure group communication over unreliable wireless networks. Among all known SGKD schemes, exponential arithmetic based SGKD (E-SGKD) schemes reduce the storage overhead to constant, thus is suitable for the the resource-constrained wireless networks. In this paper, we provide a new mechanism to achieve E-SGKD schemes with backward secrecy. We first propose a basic E-SGKD scheme based on a known polynomial-based SGKD, where it has optimal storage overhead while having no backward secrecy. To obtain the backward secrecy and reduce the communication overhead, we introduce a novel approach for message broadcasting and self-healing. Compared with other E-SGKD schemes, our new E-SGKD scheme has the optimal storage overhead, high communication efficiency and satisfactory security. The simulation results in Zigbee-based networks show that the proposed scheme is suitable for the resource-restrained wireless networks. Finally, we show the application of our proposed scheme. View Full-Text
Keywords: wireless networks; self-healing group key distribution; exponential arithmetic; backward secrecy wireless networks; self-healing group key distribution; exponential arithmetic; backward secrecy
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Guo, H.; Zheng, Y.; Zhang, X.; Li, Z. Exponential Arithmetic Based Self-Healing Group Key Distribution Scheme with Backward Secrecy under the Resource-Constrained Wireless Networks. Sensors 2016, 16, 609.

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