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===Higher order STBCs===
Tarokh et. al discovered, using the arcane theory of orthogonal designs, a set of STBCs<ref name="stbc" /><ref name="perform">{{cite journal|author=Vahid Tarokh, Hamid Jafarkhani, and A. Robert Calderbank|title=Space–time block coding for wireless communications: performance results|journal=IEEE Journal on Selected Areas in Communications|pages=451–460|volume=17|issue=3|date=March 1999|url=http://www.mast.queensu.ca/~math800/W03/papers/TrkhJafarkCldb_JSAC99.pdf|id={{doi|10.1109/49.753730}}}}</ref> that are particularly straightforward, and coined the scheme's name. They also proved that no code for more than 2 transmit antennas could achieve full-rate. Their codes have since been improved upon (both by the original authors and by many others). Nevertheless, they serve as clear examples of why the rate cannot reach 1, and what other problems must be solved to produce 'good' STBCs. They also demonstrated the simple, linear [[#Decoding|decoding]] scheme that goes with their codes under perfect channel knowleage assumption.
====3 transmit antennas====
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