Diversity-multiplexing gain tradeoff: A tool in algebra?

Roope Vehkalahti*, Hsiao-Feng Lu

*此作品的通信作者

研究成果: Conference contribution同行評審

5 引文 斯高帕斯(Scopus)

摘要

Since the invention of space-time coding numerous algebraic methods have been applied in code design. In particular algebraic number theory and central simple algebras have been on the forefront of the research. In this paper we are turning the table and asking whether information theory can be used as a tool in algebra. We first show how diversity-multiplexing gain tradeoff (DMT) bounds of Zheng and Tse will give us information of the spread of determinants in matrix lattices and then apply these results to analyze unit groups of orders of division algebras. The results considering unit groups are not new or the best possible but we do find that this interesting relation between algebra and information theory is quite surprising and worth pointing out.

原文English
主出版物標題2011 IEEE Information Theory Workshop, ITW 2011
頁面135-139
頁數5
DOIs
出版狀態Published - 2011
事件2011 IEEE Information Theory Workshop, ITW 2011 - Paraty, Brazil
持續時間: 16 10月 201120 10月 2011

出版系列

名字2011 IEEE Information Theory Workshop, ITW 2011

Conference

Conference2011 IEEE Information Theory Workshop, ITW 2011
國家/地區Brazil
城市Paraty
期間16/10/1120/10/11

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