Some new results on extended Hamming product codes and punctured product codes

Analytical techniques for evaluating Hamming product code performance at low error rates are presented. Closed-form expressions for their dominant multiplicity values are derived, based on the properties of their transitive automorphism groups. The analytical curves are plotted and validated by comparison with iterative decoding. The approach is also extended to punctured codes, where we apply the new "uniform puncturing" method for estimating analytically their average performance.