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The authors consider a space-time coded system with Q transmit antennas and P receive antennas and assume under the quasi-static Rayleigh fading assumption that the channel is fixed for a duration of M symbol transmissions. Let S be a (Q×M) space-time code. Given S ∈ S is the transmitted codeword, the received signal is given by Y=√ρtHS + N, where ρt=ρ/Q, with ρ being the SNR. The components np,m, hp,q of the noise matrix N and the (P×Q) channel fading-coefficient matrix H respectively, are independent, identically-distributed, zero-mean, complex Gaussian random variables.