A large number of the path key establishment schemes regard same probability of the node capture attack for each node in the wireless sensor networks. However, in certain critical applications this statement may not be right making such schemes less practical for many real-world applications like border surveillance and disaster management. In this paper, an attack matrix (AM) is designed to calculate the attack coefficient of the sensor nodes at the time of their positioning in the sensor field. The path key exposure problem is minimized by bypassing the nodes with greatest value of attack coefficient. Three attack-resistant path key establishment schemes are presented based on the AM namely attack-resistant proxy-based path key establishment, attack-resistant friend-based path key establishment and attack-resistant disjoint path key establishment. We find that the proposed schemes show improved performance compared to the existing path key establishment schemes. The resistance against node capture of proposed schemes has been verified based on the probability of key recovery and path compromise ratio. The result outcomes prove their expediency in diminishing node capture impact.

大量的路径密钥建立方案将无线传感器网络中每个节点的节点捕获攻击的概率视为相同。但是，在某些关键应用中，这种说法可能并不正确，这使得此类方案在许多实际应用中（如边界监视和灾难管理）不太实用。在本文中，设计了攻击矩阵（AM）来计算传感器节点在传感器场中定位时的攻击系数。通过绕开攻击系数最大的节点，可以最大程度地减少路径密钥暴露问题。提出了基于AM的三种抗攻击路径密钥建立方案，即基于抗攻击代理的路径密钥建立，基于攻击的基于朋友的路径密钥建立和基于攻击的不相交的路径密钥建立。我们发现，与现有的路径密钥建立方案相比，提出的方案显示出改进的性能。基于密钥恢复的概率和路径危害率，已经验证了所提出方案对节点捕获的抵抗力。结果结果证明了它们在减少节点捕获影响方面的权宜之计。