Diversity-multiplexing gain tradeoff: A tool in algebra?

Roope Vehkalahti*, Hsiao-Feng Lu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations


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 languageEnglish
Title of host publication2011 IEEE Information Theory Workshop, ITW 2011
Number of pages5
StatePublished - 21 Dec 2011
Event2011 IEEE Information Theory Workshop, ITW 2011 - Paraty, Brazil
Duration: 16 Oct 201120 Oct 2011

Publication series

Name2011 IEEE Information Theory Workshop, ITW 2011


Conference2011 IEEE Information Theory Workshop, ITW 2011


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