Statistical mechanics of low-density parity-check codes [PDF]
This paper reviews some recent theoretical results on the classical mechanics of error-correcting codes, with focus mainly on low-density parity-check codes (LDPC) in correcting codes, and on Gallager and McKay-Neal codes. After a general description of the considered communication channel, the authors review various LDPC code constructions and then ...
Y. Kabashima, D. Saad
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Planar Quantum Low-Density Parity-Check Codes with Open Boundaries
Although high-threshold and low-overhead quantum low-density parity-check (qLDPC) codes, such as bivariate bicycle (BB) codes, can reduce the physical-qubit cost by an order of magnitude compared to the Kitaev toric code, their torus layout remains ...
Zijian Liang (梁子健) +2 more
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A construction of the high-rate regular quasi-cyclic LDPC codes
In this paper, a scheme to construct the high-rate regular quasi-cyclic low-density parity-check (QC-LDPC) codes is developed based on the finite geometry low-density parity-check (LDPC) codes.
Qi Meng +3 more
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Ldpc Code Construction using Randomly Permutated Copies of Parity Check Matrix [PDF]
A construction technique is proposed for low-density parity check (LDPC) codes. It uses a base parity check matrix designed from a ran-dom or constructed construction method as Gallager or Quasi-Cyclic LDPC (QC-LDPC) codes in sequence to get codes with ...
Amr lulu, Ammar Abu-Hudrouss
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Reordered static layered schedule for 5G low‐density parity‐check codes
The error performance of the 5G low‐density parity‐check codes is significantly impacted by the update order of layers. At present, the row degree (RD) and the number of punctured bits (PBs) are widely used to decide the update order of layers. Here, the
Yangcan Zhou, Zhongfeng Wang
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On Girth Conditioning for Low-Density Parity-Check Codes [PDF]
Low-density parity-check (LDPC) codes are gaining interest for high data rate applications in both terrestrial and spatial communications. They can be designed and studied through a bipartite graph whose characteristics affect the performance. This paper proposes a low-complexity method to improve the performance of LDPC codes by selectively removing ...
Samuele Bandi +3 more
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CONSTRUCTION OF REGULAR LDPC LIKE CODES BASED ON FULL RANK CODES AND THEIR ITERATIVE DECODING USING A PARITY CHECK TREE [PDF]
Low density parity check (LDPC) codes are capacity-approaching codes, which means that practical constructions exist that allow the noise threshold to be set very close to the theoretical Shannon limit for a memory less channel.
H. Prashantha Kumar +2 more
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Low-Density Parity-Check Codes as Stable Phases of Quantum Matter
Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are known to be capable of robust quantum information storage. Here, we address the converse question: given a quantum error-correcting code, when does it define a ...
Chao Yin, Andrew Lucas
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Protograph Based Low-Density Parity-Check Codes Design With Mixed Integer Linear Programming
An approach to design protograph-based low-density parity-check (LDPC) codes utilizing mixed integer linear programming (MILP) optimization is presented in this paper.
Wojciech Sulek
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Encoding of QC-LDPC Codes of Rank Deficient Parity Matrix
the encoding of long low density parity check (LDPC) codes presents a challenge compared to its decoding. The Quasi Cyclic (QC) LDPC codes offer the advantage for reducing the complexity for both encoding and decoding due to its QC structure.
Mohammed Kasim Mohammed Al-Haddad
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