TY - GEN
T1 - Diversity-multiplexing gain tradeoff
T2 - 2011 IEEE Information Theory Workshop, ITW 2011
AU - Vehkalahti, Roope
AU - Lu, Hsiao-Feng
PY - 2011
Y1 - 2011
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.
UR - http://www.scopus.com/inward/record.url?scp=83655165000&partnerID=8YFLogxK
U2 - 10.1109/ITW.2011.6089362
DO - 10.1109/ITW.2011.6089362
M3 - Conference contribution
AN - SCOPUS:83655165000
SN - 9781457704376
T3 - 2011 IEEE Information Theory Workshop, ITW 2011
SP - 135
EP - 139
BT - 2011 IEEE Information Theory Workshop, ITW 2011
Y2 - 16 October 2011 through 20 October 2011
ER -