Non-binary protograph-based LDPC codes: Enumerators, analysis, and designs

L Dolecek, D Divsalar, Y Sun… - IEEE transactions on …, 2014 - ieeexplore.ieee.org
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 …

Design and analysis of NB QC-LDPC codes over small alphabets

IE Bocharova, BD Kudryashov… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
We propose a novel approach to optimization of irregular nonbinary (NB) quasi-cyclic (QC)-
LDPC codes over small alphabets. In this approach, first, the base parity-check matrices are …

Nonbinary LDPC coded QAM signals with optimized map**: bounds and simulation results

IE Bocharova, BD Kudryashov… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
This paper studies specific properties of nonbinary low-density parity-check (NB LDPC)
codes when used in coded modulation systems. The paper is focused on the practically …

Distance verification for classical and quantum LDPC codes

I Dumer, AA Kovalev, LP Pryadko - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The techniques of distance verification known for general linear codes are first applied to the
quantum stabilizer codes. Then, these techniques are considered for classical and quantum …

Spectral shape of doubly-generalized LDPC codes: Efficient and exact evaluation

MF Flanagan, E Paolini, M Chiani… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
This paper analyzes the asymptotic exponent of the weight spectrum for irregular doubly-
generalized LDPC (D-GLDPC) codes. In the process, an efficient numerical technique for its …

Optimization of NB QC-LDPC block codes and their performance analysis

IE Bocharova, BD Kudryashov, EP Ovsyannikov… - ar**: Bounds and simulation results
IE Bocharova, BD Kudryashov, EP Ovsyannikov… - arxiv preprint arxiv …, 2021 - arxiv.org
The goal of the paper is to study specific properties of nonbinary low-density parity-check
(NB LDPC) codes when used in coded modulation systems. The paper is focused on the …

[หนังสือ][B] Combinatorial methods in coding theory

A Mazumdar - 2011 - search.proquest.com
This thesis is devoted to a range of questions in applied mathematics and signal processing
motivated by applications in error correction, compressed sensing, and writing on non …