This paper addresses the security challenge in wireless sensor networks (WSNs) by proposing a new key pre-distribution scheme that enhances network resilience compared to existing schemes. The authors introduce a framework for analyzing the security of key pre-distribution schemes, focusing on their effectiveness in establishing secure communication channels between nodes. They propose a scheme that combines Blom's key pre-distribution method with random key distribution techniques, allowing any pair of nodes to establish a pairwise secret key. The scheme uses multiple key spaces, where each node stores information from a subset of these spaces, ensuring that any number of compromised nodes does not affect the security of uncompromised pairs. The authors also introduce a two-hop-neighbor key pre-distribution scheme to further improve resilience. The paper provides a rigorous analysis of the scheme's security, including its resilience to node capture and communication overhead. The proposed scheme is shown to offer better resilience with the same storage constraints compared to previous schemes, making it more suitable for WSNs.This paper addresses the security challenge in wireless sensor networks (WSNs) by proposing a new key pre-distribution scheme that enhances network resilience compared to existing schemes. The authors introduce a framework for analyzing the security of key pre-distribution schemes, focusing on their effectiveness in establishing secure communication channels between nodes. They propose a scheme that combines Blom's key pre-distribution method with random key distribution techniques, allowing any pair of nodes to establish a pairwise secret key. The scheme uses multiple key spaces, where each node stores information from a subset of these spaces, ensuring that any number of compromised nodes does not affect the security of uncompromised pairs. The authors also introduce a two-hop-neighbor key pre-distribution scheme to further improve resilience. The paper provides a rigorous analysis of the scheme's security, including its resilience to node capture and communication overhead. The proposed scheme is shown to offer better resilience with the same storage constraints compared to previous schemes, making it more suitable for WSNs.