Analysis of binary number association scheme partially balanced designs

On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs

e . - ON LINEAR ASSOCIATIVE ALGEBRAS CORRESPONDING TO ASSOCIATION SCHEMES OF PARTIALLY BALANCED DESIGNS

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On construction of partially balanced n-ary designs

A new method of constructing a series of partially balanced ternary (PBT) designs is presented. In the method, we have added the corresponding rows of incidence matrices of a BIB design and a PBIB design, both obtained from single initial block with at least one element in common between them. The BIB and PBIB designs above were obtained by method of differences. We have also constructed PBT de...

Key Predistribution Using Partially Balanced Designs in Wireless Sensor Networks

We propose two deterministic key predistribution schemes in a Wireless Sensor Network (WSN), in which sensor nodes are deployed randomly. Both the schemes are based on Partially Balanced Incomplete Block Designs (PBIBD). An important feature of our scheme is that every pair of nodes can communicate directly, making communication faster and efficient. The number of keys per node is of the order ...

An Algorithm to Generate Neighbor Balanced Binary Block Designs

Ahmed and Akhtar (2007) developed some algorithms to generate neighbor balanced designs. Here, a new algorithm is developed to generate circular neighbor balanced binary block designs for v = 2k in 2(v-1) blocks when blocks are well separated. A catalogue of circular neighbor balanced binary block designs for v up to 50 is presented.