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We study the performance of space-time bit-interleaved coded modulation (ST-BICM) over quasi-static multiple-antenna fading channels with linear receivers. We show that, under iterative linear detection and decoding, an ST-BICM can achieve full diversity with a special class of space-time precoders. We then study the outage probability at the output of the linear detector that determines the theoretical performance of coded modulations with such receivers. Finally, symbol and word error rate performances under Monte Carlo simulations are shown.