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Motivated by the need of providing on-demand local computing resources over a wireless computing and communication infrastructure, we will begin to face over the next decade very large sensor-generated datasets on the order of zettabytes or even yottabytes. While centralized control and applications may still be needed, the bulk of the processing and storage must be distributed near the sensors. Motivated by results in compressive sampling, we obtain new results in rank deficient network coding, which is capable of addressing some of these challenges.