Codes on hypergraphs

A Barg, G Zemor - 2008 IEEE International Symposium on …, 2008 - ieeexplore.ieee.org
A generalization of codes on regular bipartite graphs is given by a family of codes on
hypergraphs. We derive the average weight distribution and estimate the minimum distance …

Short quasi-cyclic LDPC codes from convolutional codes

IE Bocharova, BD Kudryashov… - 2009 IEEE …, 2009 - ieeexplore.ieee.org
We search for good regular quasi-cyclic (QC) LDPC codes with J= 2 ones in each column. In
order to simplify the search, QC LDPC codes are represented in the form of tail-biting (TB) …

Graph-based convolutional and block LDPC codes

IE Bocharova, BD Kudryashov, RV Satyukov - Problems of information …, 2009 - Springer
We consider regular block and convolutional LDPC codes determined by paritycheck
matrices with rows of a fixed weight and columns of weight 2. Such codes can be described …

From block to convolutional codes using block distances

V Sidorenko, C Medina… - 2007 IEEE International …, 2007 - ieeexplore.ieee.org
It is well known that convolutional codes can be considered as block codes over a field of
rational functions. Being a block code, every convolutional code has" block" distance d f. The …

A Rate Hypergraph-Based Woven Convolutional Code With Free Distance

F Hug, IE Bocharova, R Johannesson… - IEEE transactions on …, 2010 - ieeexplore.ieee.org
A rate R= 5/20 hypergraph-based woven convolutional code with overall constraint length
67 and constituent convolutional codes is presented. It is based on a 3-partite, 3-uniform, 4 …

[图书][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 …

On the Performance of Block Woven Codes Constructions with Row-Wise Permutations

A Kreshchuk, I Zhilin, V Zyablov - … Castle Meeting on Coding Theory and …, 2017 - Springer
In this paper we propose a woven block code construction based on two convolutional
codes. We also propose a soft-input decoder that allows this construction to have better error …

On the asymptotic performance of low-complexity decoded LDPC codes with constituent Hamming codes

V Zyablov, M Loncar, R Johannesson… - 2008 5th International …, 2008 - ieeexplore.ieee.org
Hamming code-based LDPC (H-LDPC) block codes are obtained by replacing single parity-
check codes in Gallager's LDPC codes with Hamming constituent codes. This paper …

Taming of the BEAST

M Loncar - 2007 - portal.research.lu.se
Modern communication systems are designed to enable reliable and fast information
transfer. Therefore, efficient channel coding and decoding strategies are needed, which …

Woven graph codes over hyper graphs

IE Bocharova, BD Kudryashov… - 7th International ITG …, 2008 - ieeexplore.ieee.org
Constructions of woven graph codes based on constituent block and convolutional codes
are studied. The constructions are based on s-partite s-uniform hypergraphs, where s …