Abstract
In this chapter, we propose a stateless distributed group key management (GKM) framework, a genetic-based group key agreement (genetic-GKA) scheme, for supporting the dynamic key management mechanism in mobile ad hoc networks (MANETs). This scheme operates on polynomial computation over a finite area for group key establishment. The group key update is fixed to O (log n) with an effective GKM scheme, regardless of number of key updating information. Therefore, the key update process in this scheme has an O (log n) key update execution and storage cost, with \( {\text{n}} \) number of nodes in the group communication. Our proposed scheme is very efficient with implementation of hash and Lagrange polynomial interpolation. The simulation results show that the proposed GKM scheme achieves higher performance and security than the existing key management schemes. Moreover, the proposed scheme is effective in detecting both selfish and malicious attacks with low overhead.
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