External Codes for Multiple Unicast Networks via Interference Alignment
Information Theory
2023-09-11 v1 math.IT
Abstract
We introduce a formal framework to study the multiple unicast problem for a coded network in which the network code is linear over a finite field and fixed. We show that the problem corresponds to an interference alignment problem over a finite field. In this context, we establish an outer bound for the achievable rate region and provide examples of networks where the bound is sharp. We finally give evidence of the crucial role played by the field characteristic in the problem.
Keywords
Cite
@article{arxiv.2309.04431,
title = {External Codes for Multiple Unicast Networks via Interference Alignment},
author = {F. R. Kschischang and F. Manganiello and A. Ravagnani and K. Savary},
journal= {arXiv preprint arXiv:2309.04431},
year = {2023}
}