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Key Pre-distribution Schemes via Certain Resolvable Block Designs

Shyam Saurabh1
1Department of Mathematics, Tata College, Kolhan University, Chaibasa, India

Abstract

Earlier optimal key pre\(-\)distribution schemes (KPSs) for distributed sensor networks (DSNs) were proposed using combinatorial designs via transversal designs, affine, and partially affine resolvable designs. Here, nearly optimal KPSs are introduced and a class of such KPSs is obtained from resolvable group divisible designs. These KPSs are nearly optimal in the sense of local connectivity. A metric for the efficiency of KPSs is given. Further, an optimal KPS has also been proposed using affine resolvable \( L_{2} \)-type design.

Keywords: Resolvable and affine resolvable designs, Optimal configuration, Group divisible design, \(L_{2} -\)type design, Hadamard product