Diversity-multiplexing gain tradeoff: A tool in algebra?

Roope Vehkalahti; Hsiao-Feng Lu

doi:10.1109/ITW.2011.6089362

Diversity-multiplexing gain tradeoff: A tool in algebra?

Roope Vehkalahti^*, Hsiao-Feng Lu

^*Corresponding author for this work

Department of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Title of host publication	2011 IEEE Information Theory Workshop, ITW 2011
Pages	135-139
Number of pages	5
DOIs	https://doi.org/10.1109/ITW.2011.6089362
State	Published - 21 Dec 2011
Event	2011 IEEE Information Theory Workshop, ITW 2011 - Paraty, Brazil Duration: 16 Oct 2011 → 20 Oct 2011

Publication series

Name	2011 IEEE Information Theory Workshop, ITW 2011

Conference

Conference	2011 IEEE Information Theory Workshop, ITW 2011
Country/Territory	Brazil
City	Paraty
Period	16/10/11 → 20/10/11

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10.1109/ITW.2011.6089362

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title = "Diversity-multiplexing gain tradeoff: A tool in algebra?",

abstract = "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.",

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N2 - 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.

AB - 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.

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ER -

Diversity-multiplexing gain tradeoff: A tool in algebra?

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