Correction to "on full diversity space-time block codes with partial interference cancellation group decoding"

Theorem 1 (Main Theorem, [1]). Let X be a linear dispersion STBC. There are nt transmit and nr receive antennas. The channel matrix is H ∈ Crt . The received signal is decoded using the PIC group decoding with a grouping scheme {I0, I1, . . . , IN−1}. The equivalent channel is G(h), where h = vec(H ) = {h0, h1, . . . , hnr·nt−1} ∈ Crt . Then, each of the following dimension-reduced systems (i.e., the STBC with the PIC group decoding),