Title :
Construction of Multiblock Space–Time Codes From Division Algebras With Roots of Unity as Nonnorm Elements
Author :
Lahtonen, Jyrki ; Markin, Nadya ; McGuire, Gary
Author_Institution :
Dept. of Math., Turku Univ., Turku
Abstract :
The authors give a construction of multiblock space-time block codes from cyclic division algebras with a given nth root of unity as the nonnorm element. The construction uses local class field theory. Multiblock codes with M blocks can achieve an M-fold increase in diversity.
Keywords :
algebraic codes; block codes; cyclic codes; space-time codes; cyclic division algebras; local class field theory; multiblock space-time codes; nonnorm element; Algebra; Block codes; Electronic mail; Lattices; Mathematics; Pairwise error probability; Wireless communication; Division algebra; multiblock; norm; space–time code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.929963
