Magnetization enumerator of real-valued symmetric channels in Gallager error-correcting codes

TL;DR

This paper uses the magnetization enumerator method to analyze the limitations of symmetric channels with real outputs in the context of Gallager error-correcting codes, providing both practical and theoretical insights.

Contribution

It introduces the application of the magnetization enumerator to real-valued symmetric channels, extending previous methods to new channel types in Gallager codes.

Findings

Evaluation of practical and theoretical limits of symmetric channels

Analysis of regular Gallager code constructions

Insights into channel capacity and decoding performance

Abstract

Using the magnetization enumerator method, we evaluate the practical and theoretical limitations of symmetric channels with real outputs. Results are presented for several regular Gallager code constructions.