An efficient 3D optical implementation of binary de Bruijn networks with applications to massively parallel computing

As an alternative to the hypercube, the binary de Bruijn (BdB) network is recently receiving much attention. The BdB not only provides a logarithmic diameter fault tolerance, and simple routing but also requires fewer links than the hypercube for the same network size. Additionally, a major advantage of the BdB network is a constant node degree: the number of edges per node is independent of the network size. This makes it very desirable for large scale parallel systems. However, due to its asymmetrical nature and global connectivity it is posing a major challenge for VLSI technology. Optics, owing to its three dimensional and global connectivity nature seems to be very suitable for implementing BdB networks. We present an implementation methodology for BdB networks. The distinctive feature of the proposed implementation methodology is partitionability of the network into a few primitive operations that can be efficiently implemented. We further show feasibility of the presented design methodology by proposing an optical implementation of the BdB network.