Analysis of Non-binary Hybrid LDPC Codes

TL;DR

This paper analyzes a new class of non-binary hybrid LDPC codes, deriving stability conditions and threshold behavior, demonstrating their asymptotic advantages over traditional LDPC codes.

Contribution

It introduces a stability analysis for hybrid LDPC codes using density evolution, revealing their potential benefits over non-hybrid codes.

Findings

Hybrid LDPC codes have favorable threshold behavior.

Stability conditions are derived for hybrid LDPC codes.

Hybrid codes outperform non-hybrid codes asymptotically.

Abstract

In this paper, we analyse asymptotically a new class of LDPC codes called Non-binary Hybrid LDPC codes, which has been recently introduced. We use density evolution techniques to derive a stability condition for hybrid LDPC codes, and prove their threshold behavior. We study this stability condition to conclude on asymptotic advantages of hybrid LDPC codes compared to their non-hybrid counterparts.