External codes for multiple unicast networks via interference alignment

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-06-10 DOI:10.1007/s10623-024-01439-1

F. R. Kschischang, F. Manganiello, A. Ravagnani, K. Savary

引用次数: 0

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.

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通过干扰对齐实现多个单播网络的外部编码

我们引入了一个正式框架来研究编码网络的多路单播问题，在该网络中，网络编码在有限域上是线性的且固定不变。我们证明，该问题对应于有限域上的干扰对齐问题。在这种情况下，我们建立了可实现速率区域的外部界限，并举例说明了界限尖锐的网络。最后，我们证明了场特性在问题中的关键作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.