Optimizing the Error Recovery Capabilities of LDPC-Staircase Codes Featuring a Gaussian Elimination Decoding Scheme: Preliminary Results

The erasure recovery capabilities of LDPC-Triangle and LDPC-Staircase codes can be greatly improved by means of a Gaussian elimination decoding scheme . Thanks to this decoding, the LDPC-Triangle codes are now very close to an ideal code. The LDPC-Staircase codes are also improved but they are not as close to an ideal code as the LDPC-Triangle codes are. Furthermore, for some code rates, the performances of the LDPC-Staircase codes diverge from their asymptotic behavior. This document studies the influence of the N1 parameter of the LDPC-Staircase codes, i.e., the target number of '1s' per column, which in turn controls the left degree of source symbols, on the erasure recovery capabilities of the codes when a Gaussian elimination decoding scheme is used