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Multiple-input-multiple-output (MIMO) systems offer much capacity gain over single antenna approaches. The recently proposed multistratum space-time code (MSSTC) is such a MIMO-scheme among many others. In this paper, a generalization of the multistratum idea is presented and leads to the new family of multistratum-permutation codes. It is shown, that this scheme can achieve a higher link capacity than the MSSTC or Vertical-Bell Labs Layered Space-Time (V-BLAST). Scheme examples are presented for a 4×4 antenna system transmitting four data streams in parallel. They also show a promising performance for successive interference cancellation (SIC) receiver algorithms with a realistic complexity.