Approximately Gaussian weight distribution of theiteratedproduct of single-parity-check codes
E. Biglieri, V. Volski · Electronics Letters · 1994
It has been argued by Battail that for the goodness of long block codes a better criterion to use than the minimum Hamming distance is the closeness of the normalised weight distribution of the code to a Gaussian distribution. Certain iterated-product codes have recently been shown to provide good performance in spite of having a relatively poor Hamming distance. The authors substantiate the arguments of Battail by showing that these iterated-product codes have a weight distribution that is approximately Gaussian even for relatively short lengths.