Title :
Some new results on extended Hamming product codes and punctured product codes
Author :
Chiaraluce, Franco ; Garello, Roberto
Author_Institution :
Universita Politecnica delle Marche, Ancona, Italy
Abstract :
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.
Keywords :
Hamming codes; binary codes; digital radio; error correction codes; error statistics; iterative decoding; linear codes; product codes; radio links; BER; FER; Hamming codes; Hamming product codes; binary code; binary linear code; closed-form expressions; digital radio links; error correcting codes; error rates; iterative decoding; punctured codes; punctured product codes; transitive automorphism groups; uniform puncturing; Analytical models; Bit error rate; Closed-form solution; Error analysis; Hamming weight; Iterative decoding; Parity check codes; Performance analysis; Product codes; Turbo codes;
Conference_Titel :
Vehicular Technology Conference, 2004. VTC 2004-Spring. 2004 IEEE 59th
Print_ISBN :
0-7803-8255-2
DOI :
10.1109/VETECS.2004.1388988
