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Linear capacity equivalence between multiple multicast and multiple unicast | IEEE Conference Publication | IEEE Xplore

Linear capacity equivalence between multiple multicast and multiple unicast


Abstract:

An equivalence between multiple multicast and multiple unicast network codes is proven in a 2007 paper by Dougherty and Zeger. A related equivalence between multiple mult...Show More

Abstract:

An equivalence between multiple multicast and multiple unicast network codes is proven in a 2007 paper by Dougherty and Zeger. A related equivalence between multiple multicast and multiple unicast capacity for general (possibly noisy) memoryless networks is proven in a 2013 paper by the current authors. While the construction used in the proof from the earlier paper maps any linear code for one network to a linear code for the other network, the construction from the later paper does not necessarily preserve linearity. As a result, the 2013 result does not prove an equivalence between the capacity achievable by linear codes in memoryless multiple multicast and memoryless multiple unicast networks. The linear capacity equivalence for memoryless multiple multicast and multiple unicast networks is proven in this work.
Date of Conference: 29 June 2014 - 04 July 2014
Date Added to IEEE Xplore: 11 August 2014
Electronic ISBN:978-1-4799-5186-4

ISSN Information:

Conference Location: Honolulu, HI, USA

References

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