Connecting DMT of Division Algebra Space-Time Codes and Point Counting in Lie Groups



: Roope Vehkalahti, Laura Luzzi

: 2012

: IEEE International Symposium on Information Theory

: IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY

: 2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)

: IEEE INT SYMP INFO

: 338

: 342

: 5

: 978-1-4673-2579-0


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.



Last updated on 2024-26-11 at 20:35