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We propose novel space-time multipath (STM) coded multi-antenna transmissions over frequency-selective Rayleigh fading channels. We develop STM coded systems that guarantee the maximum possible space-multipath diversity without rate loss for any number of transmit-antennae, and with large coding gains within the class of linearly coded systems. By incorporating subchannel grouping, we also enable desirable tradeoffs between performance and complexity. The merits of our design are confirmed by corroborating simulations, and comparisons with existing approaches.