This paper addresses the problem of collusion attacks in Exclusion Basis Systems (EBS) used for group key management in Wireless Ad Hoc Networks (WAHNs). EBS provides a framework for efficient and scalable key management, where each node is assigned a unique combination of keys. However, EBS is vulnerable to collusion attacks, where compromised nodes can share keys to reveal all system keys and capture the network. The paper proposes a location-based heuristic for key assignment that reduces the probability of network capture by assigning keys based on the Hamming distance between nodes. Nodes with closer physical proximity are assigned key combinations with lower Hamming distances, making it harder for compromised nodes to collude and reveal all keys. Simulation results show that this approach significantly increases network resilience to collusion threats. The paper also discusses the analysis of collusion chains and the impact of key assignment on network security. The results demonstrate that the proposed approach outperforms random key assignment in terms of network resilience, especially for small networks. The paper concludes that EBS can be enhanced with a location-based key assignment strategy to mitigate collusion attacks in WAHNs.This paper addresses the problem of collusion attacks in Exclusion Basis Systems (EBS) used for group key management in Wireless Ad Hoc Networks (WAHNs). EBS provides a framework for efficient and scalable key management, where each node is assigned a unique combination of keys. However, EBS is vulnerable to collusion attacks, where compromised nodes can share keys to reveal all system keys and capture the network. The paper proposes a location-based heuristic for key assignment that reduces the probability of network capture by assigning keys based on the Hamming distance between nodes. Nodes with closer physical proximity are assigned key combinations with lower Hamming distances, making it harder for compromised nodes to collude and reveal all keys. Simulation results show that this approach significantly increases network resilience to collusion threats. The paper also discusses the analysis of collusion chains and the impact of key assignment on network security. The results demonstrate that the proposed approach outperforms random key assignment in terms of network resilience, especially for small networks. The paper concludes that EBS can be enhanced with a location-based key assignment strategy to mitigate collusion attacks in WAHNs.