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...
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 ...
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...
Recently, multicarrier modulation in the form of orthogonal frequency division multiplexing (OFDM) has been shown feasible for underwater acoustic communications via effective algo...
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...
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...
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...
— 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, ...
—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...