# Distinct Difference Configurations: Multihop Paths and Key Predistribution in Sensor Networks

@article{Blackburn2010DistinctDC, title={Distinct Difference Configurations: Multihop Paths and Key Predistribution in Sensor Networks}, author={Simon R. Blackburn and Tuvi Etzion and Keith M. Martin and Maura B. Paterson}, journal={IEEE Transactions on Information Theory}, year={2010}, volume={56}, pages={3961-3972} }

A distinct difference configuration is a set of points in Z2 with the property that the vectors (difference vectors) connecting any two of the points are all distinct. Many specific examples of these configurations have been previously studied: the class of distinct difference configurations includes both Costas arrays and sonar sequences, for example. Motivated by an application of these structures in key predistribution for wireless sensor networks, we define the k-hop coverage of a distinct…

## 23 Citations

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- Computer Science, MathematicsIACR Cryptol. ePrint Arch.
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This work defines a new, general class of designs, termed “partially balanced t-designs”, that is sufficiently general that it encompasses almost all of the designs that have been proposed for combinatorial key predistribution schemes.

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