Space-time constellation-rotating codes maximizing diversity and coding gains

Abstract
We apply algebraic number theoretic tools to design lin- ear space-time constellation-rotating (ST-CR) block codes. With an ar- bitrary number of transmit- and receive-antennas, our ST-CR de- signs achieve symbol/second rate and enjoy maximum diversity gains over quasi-static fading channels. When is an Euler number for mod , or, when for some positive inte- ger , the designed ST-CR precoders also maximize coding gains over constellations. When takes other integer values, we construct a method to design precoders with large coding gains that can be computed explicitly. Simulations corroborate our theoretical findings.

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