On the performance slope of short LDPC codes

Abstract

The present work is a continuation of the previous study [1] on the performance of short LDPC codes. We have examined a sample of (128,256) different LDPC codes and explored their bit error-rate curves as a function of Tanner graph properties. It was found that certain graph characteristics correlate with LDPC code performance and can help to distinguish LDPC codes with a good decoding threshold (less or equal 3.5 dB) from others. In this work, we investigate a slope of bit error- rate curves that along with a decoding threshold provides an information on code performance.