Achievable Rate Regions for Network Coding

Randall Dougherty; Chris Freiling; Kenneth Zeger

doi:10.1109/tit.2015.2403315

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arXiv · 1311.4601

Achievable Rate Regions for Network Coding

Randall Dougherty·Chris Freiling·Kenneth Zeger

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Abstract

Determining the achievable rate region for networks using routing, linear coding, or non-linear coding is thought to be a difficult task in general, and few are known. We describe the achievable rate regions for four interesting networks (completely for three and partially for the fourth). In addition to the known matrix-computation method for proving outer bounds for linear coding, we present a new method which yields actual characteristic-dependent linear rank inequalities from which the desired bounds follow immediately.

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Randall Dougherty, Chris Freiling, Kenneth Zeger. 2013-11-19. Achievable Rate Regions for Network Coding. https://doi.org/10.1109/tit.2015.2403315

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