Optimized Puncturing of the Check Matrix for Rate-Compatible LDPC Codes
In the wireless communication system, it is necessary to change the transmitted code word or code rate in real time according to the channel environment, designing and implementing rate compatible codes is of great practical significance.
Zhang Liang, Meng Jiahui, Zhao Danfeng
doaj +1 more source
Mutual Information-Maximizing Quantized Belief Propagation Decoding of Regular LDPC Codes
In mutual information-maximizing lookup table (MIM-LUT) decoding of low-density parity-check (LDPC) codes, table lookup operations are used to replace arithmetic operations.
Cai, Kui, He, Xuan, Mei, Zhen
core
Girth Analysis of Tanner’s (3, 17)-Regular QC-LDPC Codes Based on Euclidean Division Algorithm
In this paper, the girth distribution of the Tanner’s (3, 17)-regular quasi-cyclic LDPC (QC-LDPC) codes with code length $17p$ is determined, where $p$ is a prime and $p \equiv 1~(\bmod ~51)$ .
Hengzhou Xu +3 more
doaj +1 more source
Low Complexity Encoder of High Rate Irregular QC-LDPC Codes for Partial Response Channels
High rate irregular QC-LDPC codes based on circulant permutation matrices, for efficient encoder implementation, are proposed in this article. The structure of the code is an approximate lower triangular matrix.
IMTAWIL, V., MEESOMBOON, A., KUPIMAI, M.
doaj +1 more source
Lower Bounds on the Lifting Degree of QC-LDPC Codes by Difference Matrices
In this paper, we define two “difference matrices” which correspond to an exponent matrix. We present necessary and sufficient conditions for these difference matrices to have quasi-cyclic low-density parity-check codes (QC-LDPC) codes with
Farzane Amirzade, Mohammad-Reza Sadeghi
doaj +1 more source
Explicit construction of girth-eight QC-LDPC codes and its application in CRT method
For arbitrary code lengths of the form PL(P≥3L<sup>2</sup>/4+L-1),a new family of (4,L)-regular quasi-cyclic (QC) low-density parity-check (LDPC) codes was proposed explicitly with girth ight.Employing the new code as a component code in the ...
Guo-hua ZHANG, Rong SUN, Xin-mei WANG
doaj +2 more sources
Short Blocklength Nonbinary Raptor-Like LDPC Coding Systems Design and Simulation
This paper explores an efficient rate-adaptive error correction coding scheme with a nonbinary (NB) $\mathrm {GF}(2^{q})$ extension of Raptor-like (RL) quasi-cyclic (QC) subclass of Low-Density Parity-Check (LDPC) codes.
Jakub Hyla, Wojciech Sulek
doaj +1 more source
Design and Implementation of a Highly Efficient Quasi-Cyclic Low-Density Parity-Check Transceiving System Using an Overlapping Decoder. [PDF]
Sun Y +5 more
europepmc +1 more source
Quantum LDPC Codes Based on Cocyclic Block Matrices. [PDF]
Li Y, Guo Y.
europepmc +1 more source

