Key Pre-distribution Schemes based on Symplectic Geometry for Wireless Sensor Networks

Abstract

Key distribution is paramount for Wireless Sensor Networks (WSNs). The design of key management schemes is the most important aspect and basic research field in WSNs. A key distribution scheme based on symplectic geometry over fields is proposed, where a 2-dimensional subspace in symplectic geometry represents a node, and all $2s$-dimensional non-isotropic subspaces represent the key pool, guaranteeing that every pair of nodes has a shared key, thus improving network connectivity. The performance analysis shows that the scheme has good connectivity and higher resilience to node compromise compared to other key pre-distribution schemes.