Design of Non-Binary Quasi-Cyclic LDPC Codes by ACE Optimization

TL;DR

This paper presents a new algorithm for designing non-binary quasi-cyclic LDPC codes that optimizes the ACE spectrum to achieve low error floors and outperforms existing methods for short to moderate lengths.

Contribution

It introduces a novel edge label selection method for non-binary LDPC codes that enhances their error-floor performance through ACE spectrum control.

Findings

Generated codes with improved error-floor performance

Outperformed existing code construction methods

Effective for short to moderate code lengths over small fields

Abstract

An algorithm for constructing Tanner graphs of non-binary irregular quasi-cyclic LDPC codes is introduced. It employs a new method for selection of edge labels allowing control over the code's non-binary ACE spectrum and resulting in low error-floor. The efficiency of the algorithm is demonstrated by generating good codes of short to moderate length over small fields, outperforming codes generated by the known methods.