A Group Key Management Scheme for WSN Based on Lagrange Interpolation Polynomial Characteristic

• Xiaogang Wang,
• Weiren Shi,
• Dan Liu,

Vol. 13, No. 7, July 30, 2019
10.3837/tiis.2019.07.020, Download Paper (Free):

• Wireless Sensor Networks
• Security
• Chinese Remainder Theorem
• Lagrange interpolation polynomial
• Group Key Management

Abstract

According to the main group key management schemes logical key hierarchy (LKH), exclusion basis systems (EBS) and other group key schemes are limited in network structure, collusion attack, high energy consumption, and the single point of failure, this paper presents a group key management scheme for wireless sensor networks based on Lagrange interpolation polynomial characteristic (AGKMS). That Chinese remainder theorem is turned into a Lagrange interpolation polynomial based on the function property of Chinese remainder theorem firstly. And then the base station (BS) generates a Lagrange interpolation polynomial function f(x) and turns it to be a mix-function f(x)’ based on the key information m(i) of node i. In the end, node i can obtain the group key K by receiving the message f(m(i))’ from the cluster head node j. The analysis results of safety performance show that AGKMS has good network security, key independence, anti-capture, low storage cost, low computation cost, and good scalability.

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