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A key pre-distribution scheme (KPS) based on multiple codewords of blockcodes is presented for wireless sensor networks. The connectivity and securityof the proposed KPS, quantified in terms of probabilities of sharing commonkeys for communications of pairs of nodes and their resilience againstcolluding nodes, are analytically assessed. The analysis is applicable to bothlinear and nonlinear codes and is simplified in the case of maximum distanceseparable codes. It is shown that the multiplicity of codes significantlyenhances the security and connectivity of KPS at the cost of a modest increaseof the nodes storage. Numerical and simulation results are provided, whichsheds light on the effect of system parameters of the proposed KPS on itscomplexity and performance. Specifically, it is shown that the probability ofresilience of secure pairs against collusion of other nodes only reduces slowlyas the number of colluding nodes increase.

A Key Pre-Distribution Scheme based on Multiple Block Codes for Wireless Sensor Networks