A4 Refereed article in a conference publication
Connecting DMT of Division Algebra Space-Time Codes and Point Counting in Lie Groups
Authors: Roope Vehkalahti, Laura Luzzi
Publication year: 2012
Journal: IEEE International Symposium on Information Theory
Book title : IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY
Journal name in source: 2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)
Journal acronym: IEEE INT SYMP INFO
First page : 338
Last page: 342
Number of pages: 5
ISBN: 978-1-4673-2579-0
Abstract
Earlier it was proven by Vehkalahti and Lu how the unit group and diversity-multiplexing gain trade-off ( DMT) of division algebra-based space-time codes are linked to each other through inverse determinant sums. This work explores this relation further, showing that indeed the density of unit group completely determines the growth of the inverse determinant sum. In particular, in the case of Q(i)-central division algebras, the lower bound obtained from the DMT and the upper bound derived from the growth rate of units coincide.
Earlier it was proven by Vehkalahti and Lu how the unit group and diversity-multiplexing gain trade-off ( DMT) of division algebra-based space-time codes are linked to each other through inverse determinant sums. This work explores this relation further, showing that indeed the density of unit group completely determines the growth of the inverse determinant sum. In particular, in the case of Q(i)-central division algebras, the lower bound obtained from the DMT and the upper bound derived from the growth rate of units coincide.
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