New decoding strategy for the 32-dimensional Barnes-Wall lattice

For QAM signalling, a new decoding strategy which reduces the average decoding complexity of the 32-dimensional Barnes-Wall lattice is presented. The reduction is by an order of magnitude at an SNR per bit of 10.5 dB. The strategy is based on partitioning the 32 D code space into disjoint subsets. The average decoding complexity is highly dependent on the number of these subsets.