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TIT
2010
103views Education» more  TIT 2010»
7 years 10 months ago
Analysis of absorbing sets and fully absorbing sets of array-based LDPC codes
The class of low-density parity-check (LDPC) codes is attractive, since such codes can be decoded using practical message-passing algorithms, and their performance is known to app...
Lara Dolecek, Zhengya Zhang, Venkat Anantharam, Ma...
CORR
2010
Springer
95views Education» more  CORR 2010»
7 years 10 months ago
Incidence structures from the blown up plane and LDPC codes
In this article, new regular incidence structures are presented. They arise from sets of conics in the affine plane blown
Alain Couvreur
ECCC
2010
83views more  ECCC 2010»
8 years 22 days ago
Symmetric LDPC codes are not necessarily locally testable
Locally testable codes, i.e., codes where membership in the code is testable with a constant number of queries, have played a central role in complexity theory. It is well known t...
Eli Ben-Sasson, Ghid Maatouk, Amir Shpilka, Madhu ...
TCOM
2008
155views more  TCOM 2008»
8 years 3 months ago
Construction of nonbinary cyclic, quasi-cyclic and regular LDPC codes: a finite geometry approach
This paper presents five methods for constructing nonbinary LDPC codes based on finite geometries. These methods result in five classes of nonbinary LDPC codes, one class of cyclic...
Lingqi Zeng, Lan Lan, Ying Yu Tai, Bo Zhou, Shu Li...
JSAC
2008
125views more  JSAC 2008»
8 years 3 months ago
Nonbinary LDPC Coding for Multicarrier Underwater Acoustic Communication
Recently, multicarrier modulation in the form of orthogonal frequency division multiplexing (OFDM) has been shown feasible for underwater acoustic communications via effective algo...
Jie Huang, Shengli Zhou, Peter Willett
CORR
2007
Springer
132views Education» more  CORR 2007»
8 years 3 months ago
Probabilistic Analysis of Linear Programming Decoding
Abstract—We initiate the probabilistic analysis of linear programming (LP) decoding of low-density parity-check (LDPC) codes. Specifically, we show that for a random LDPC code e...
Constantinos Daskalakis, Alexandros G. Dimakis, Ri...
CORR
2006
Springer
141views Education» more  CORR 2006»
8 years 3 months ago
Iterative Decoding Performance Bounds for LDPC Codes on Noisy Channels
The asymptotic iterative decoding performances of low-density parity-check (LDPC) codes using min-sum (MS) and sum-product (SP) decoding algorithms on memoryless binary-input outp...
Chun-Hao Hsu, Achilleas Anastasopoulos
CORR
2008
Springer
106views Education» more  CORR 2008»
8 years 3 months ago
Construction of Near-Optimum Burst Erasure Correcting Low-Density Parity-Check Codes
In this paper, a simple and effective tool for the design of low-density parity-check (LDPC) codes for iterative correction of bursts of erasures is presented. The design method co...
Enrico Paolini, Marco Chiani
VTC
2007
IEEE
106views Communications» more  VTC 2007»
8 years 9 months ago
A Survey on LDPC Codes and Decoders for OFDM-based UWB Systems
— Current UWB systems apply convolutional codes as their channel coding scheme. For next generation systems LDPC codes are in discussion due to their outstanding communications p...
Torben Brack, Matthias Alles, Timo Lehnigk-Emden, ...
SECON
2007
IEEE
8 years 9 months ago
INPoD: In-Network Processing over Sensor Networks based on Code Design
—In this paper, we develop a joint Network Coding (NC)-channel coding error-resilient sensor-network approach that performs In-Network Processing based on channel code Design (IN...
Kiran Misra, Shirish S. Karande, Hayder Radha
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