Analysis of error floors for non-binary LDPC codes over general linear group through q-ary memoryless symmetric channels
隆之 野﨑, Kenta Kasai, KOHICHI SAKANIWA
In this paper, we compare the decoding error rates in the error floors for non-binary low-density parity-check (LDPC) codes over general linear groups with those for non-binary LDPC codes over finite fields transmitted through the q-ary memoryless symmetric channels under belief propagation decoding.To analyze non-binary LDPC codes defined over both the general linear group GL(m, F 2 ) and the finite field F 2 m , we investigate non-binary LDPC codes defined over GL(m 3 , F 2 m 4 ).We propose a method to lower the error floors for non-binary LDPC codes.In this analysis, we see that the non-binary LDPC codes constructed by our proposed method defined over general linear group have the same decoding performance in the error floors as those defined over finite field.The non-binary LDPC codes defined over general linear group have more choices of the labels on the edges which satisfy the condition for the optimization.
•Dec 1, 2012•0 citations