Single parity check product codes

This paper considers the performance of iteratively decoded single parity check (SPC) multidimensional product codes in an additive white Gaussian noise channel. Asymptotic performance bounds are compared to simulation results. A new code structure based on SPC product codes is introduced. This structure involves interleaving between the encoding of each dimension in the product code. An analysis of the weight distribution is used to explain the good performance results for these randomly interleaved SPC product codes.