Results 11 to 20 of about 37,003 (218)

Quantum dialogue protocol based on self-dual quantum low density parity check codes

网络与信息安全学报, 2020
In quantum channels, particles are usually affected by noise during transmission. A quantum dialogue protocol based on self-dual quantum low density parity check codes was proposed to resist noise attacks.
LIU Fen, XU Pengao, HE Zhenxing, MA Hongyang   +1 more
doaj   +3 more sources

Low-Density Parity-Check Codes

IEICE ESS Fundamentals Review, 2021
Low Density Parity Check codes, LDPCs for short, are a family of codes which have shown near optimal error-correcting capabilites. They were proposed in 1963 by Robert Gallager in his PhD thesis. While he proved that probabilistic constructions of random LDPCs gave asymptotically good linear codes, they were largely abandoned due to the lack of ...
openaire   +4 more sources

A New Method for Building Low-Density-Parity-Check Codes

International Journal of Technology, 2019
This paper proposes a new method for building low-density-parity-check codes, exempt of cycle of length 4, based on a circulant permutation matrix, which needs very little memory for storage it in the encoder and a dual diagonal structure is applied ...
Tehami Mohammed Amine, Djebbari Ali
doaj   +1 more source

Entanglement-assisted quantum low-density parity-check codes [PDF]

, 2010
This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory.
C. J. Colbourn, C. J. Colbourn, D. J. C. MacKay, D. J. C. MacKay, D. Poulin, David Clark, E. F. Assmus, I. Devetak, M. Hagiwara, M. Hall, Maarten De Boeck, N. Hamada, N. Hamada, P. Dembowski, Peter Vandendriessche, R. G. Gallager, R. Graham, S. A. Aly, S. J. Johnson, S. J. Johnson, T. Beth, T. Camara, T. P. Kirkman, V. D. Tonchev, Vladimir D. Tonchev, Yuichiro Fujiwara   +25 more
core   +4 more sources

Spatially Coupled Generalized Low-Density Parity-Check Codes Over Class-A Impulsive Noise Channels

IEEE Access, 2019
In this paper, a class of spatially coupled generalized low-density parity-check (SC-GLDPC) codes with minimum coupling width is introduced to mitigate the Class-A impulsive noise. Codes with minimum coupling width are beneficial to simple code structure,
Ping Wang, Liuguo Yin, Jianhua Lu
doaj   +1 more source

ON THE CLASS OF ARRAY-BASED APM-LDPC CODES [PDF]

Journal of Algebraic Systems, 2021
We construct an explicit class of affine permutation matrix low-density parity-check (APM-LDPC) codes based on the array parity-check matrix by using two affine maps f (x) = x-1 and g(x) = 2x-1 on Z_m, where m is an odd prime number, with girth 6 and ...
A. Nassaj, A. R. Naghipour
doaj   +1 more source

Statistical Physics of Irregular Low-Density Parity-Check Codes [PDF]

, 1999
Low-density parity-check codes with irregular constructions have been recently shown to outperform the most advanced error-correcting codes to date. In this paper we apply methods of statistical physics to study the typical properties of simple irregular
Berrou G, Cheng J F, Cover T, Davey M C, David Saad, Gallager R G, Gallager R G, Iba Y, Kabashima Y, Kabashima Y, Kanter I, Kschischang F R, Luby M, Montanari A, Montanari A, Nishimori H, Pearl J, Plefka T, Renato Vicente, Richardson T, Richardson T, Shannon C, Sourlas N, Sourlas N, Thouless D J, Vicente R, Viterbi A J, Yoshyiuki Kabashima   +27 more
core   +3 more sources

Fifteen Years of Quantum LDPC Coding and Improved Decoding Strategies

IEEE Access, 2015
The near-capacity performance of classical low-density parity check (LDPC) codes and their efficient iterative decoding makes quantum LDPC (QLPDC) codes a promising candidate for quantum error correction.
Zunaira Babar, Panagiotis Botsinis, Dimitrios Alanis, Soon Xin Ng, Lajos Hanzo   +4 more
doaj   +1 more source

Progressive Differences Convolutional Low-Density Parity-Check Codes [PDF]

, 2012
We present a new family of low-density parity-check (LDPC) convolutional codes that can be designed using ordered sets of progressive differences. We study their properties and define a subset of codes in this class that have some desirable features ...
Baldi, Marco, Bianchi, Marco, Cancellieri, Giovanni, Chiaraluce, Franco   +3 more
core   +1 more source

On the Stopping Distance of SA-LDPC Codes by Transversal Designs

IEEE Access, 2018
In this paper, we analyze the size of the smallest stopping set (called the stopping distance) for the parity-check matrix of a superposed array low-density parity-check (SA-LDPC) code for column weights 3 and 4 by using the transversal design (TD ...
Zahra Ferdosi, Farhad Rahmati, Mohammad Hesam Tadayon   +2 more
doaj   +1 more source