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
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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
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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
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Construction of QC-LDPC Codes with Low Error Floor by Efficient Systematic Search and Elimination of Trapping Sets [PDF]
Bashirreza Karimi, Amir. H Banihashemi
openalex +1 more source
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
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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
Tight lower bound of consecutive lengths for QC-LDPC codes with girth at least ten [PDF]
Guohua Zhang +3 more
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On Advisability of Designing Short Length QC-LDPC Codes Using Perfect Difference Families [PDF]
Alireza Tasdighi +1 more
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Quantum LDPC Codes Based on Cocyclic Block Matrices. [PDF]
Li Y, Guo Y.
europepmc +1 more source
Quantum Coding via Quasi-Cyclic Block Matrix. [PDF]
Li Y, Li JY.
europepmc +1 more source

