  This paper generalizes results in noncoherent space-time block code (STBC)
design based on quantum error correction (QEC) to new antenna configurations.
Previous work proposed QEC-inspired STBCs for antenna geometries where the
number of transmit and receive antennas were equal and a power of two. In this
work we extend these results by providing QEC-inspired STBCs applicable to all
square antenna geometries and some rectangular geometries where the number of
receive antennas is greater than the number of transmit antennas. We derive the
maximum-likelihood decoding rule for this family of codes for the special case
of Rayleigh fading with additive white Gaussian noise. We present Monte Carlo
simulations of the performance of the codes in this environment for a
three-antenna square geometry and a three-by-six rectangular geometry. We
demonstrate competitive performance for these codes with respect to a popular
noncoherent differential code.
