This paper provides a comprehensive analysis of nonbinary low-density parity check
(LDPC) codes built out of protographs. We consider both random and constrained edge …

Mathematical programming is a branch of applied mathematics and has recently been used
to derive new decoding approaches, challenging established but often heuristic algorithms …

In this work, we first provide the definition of absorbing sets for linear channel codes over
non-binary alphabets. In a graphical representation of a non-binary channel code, an …

Alternating direction method of multipliers (ADMM) is an efficient implementation of linear
programming (LP) decoding for low-density parity-check (LDPC) codes. By adding penalty …

In this paper, we focus on decoding nonbinary low-density parity-check (LDPC) codes in
Galois fields of characteristic two via the proximal alternating direction method of multipliers …

The performance of nonbinary linear block codes is studied in this paper via the derivation of
new upper bounds on the block error probability under maximum-likelihood (ML) decoding …

In this paper, we develop efficient decoders for non-binary low-density parity-check codes
using the alternating direction method of multipliers (ADMM). We apply ADMM to two …

In this study, we develop a new algorithm for decoding binary linear codes for symbol-pair
read channels. The symbol-pair read channel was recently introduced by Cassuto and …

The problem of low-complexity linear programming (LP) decoding of nonbinary low-density
parity-check (LDPC) codes is considered, and an iterative LP decoding algorithm is …

Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has
attracted much attention in the research community in the past few years. LP decoding has …