Articles with "parity check" as a keyword



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Nonbinary LDPC cycle codes: efficient search, design, and code optimization

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Published in 2017 at "Science China Information Sciences"

DOI: 10.1007/s11432-017-9271-6

Abstract: Dear editor, Nonbinary low-density parity-check (NBLDPC) codes have the ability of approaching capacity when decoded iteratively using a probabilistic decoding algorithm. With the increase of the finite field size q, NBLDPC codes over GF(q) have… read more here.

Keywords: code; parity check; cycle codes; nbldpc codes ... See more keywords
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Construction of parity-check-concatenated polar codes based on minimum Hamming weight codewords

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Published in 2017 at "Electronics Letters"

DOI: 10.1049/el.2017.1037

Abstract: In this Letter, a new parity-check-concatenated (PCC) polar code construction that considers the number of minimum Hamming weight (MHW) codewords is proposed. The parity bits to reduce the number of MHW codewords as much as… read more here.

Keywords: parity; construction; minimum hamming; parity check ... See more keywords
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Acceleration of low density parity check code (LDPC) decoding by successive overrelaxations

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Published in 2018 at "Electronics Letters"

DOI: 10.1049/el.2018.5867

Abstract: Belief propagation and variants are the usual decoding algorithms for low-density parity check codes. The successive overrelaxations are applied to increase the convergence speed of the decoding process. Performances are reported and improvements over the… read more here.

Keywords: successive overrelaxations; low density; density parity; parity check ... See more keywords
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Modified belief propagation decoders for quantum low-density parity-check codes

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Published in 2019 at "Physical Review A"

DOI: 10.1103/physreva.100.012330

Abstract: Quantum low-density parity-check codes can be decoded using a syndrome based $\mathrm{GF}(4)$ belief propagation decoder. However, the performance of this decoder is limited both by unavoidable $4$-cycles in the code's factor graph and the degenerate… read more here.

Keywords: parity check; density parity; low density; check ... See more keywords
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Stabilizer Slicing: Coherent Error Cancellations in Low-Density Parity-Check Stabilizer Codes.

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Published in 2018 at "Physical review letters"

DOI: 10.1103/physrevlett.121.250502

Abstract: Coherent errors are a dominant noise process in many quantum computing architectures. Unlike stochastic errors, these errors can combine constructively and grow into highly detrimental overrotations. To combat this, we introduce a simple technique for… read more here.

Keywords: density parity; parity check; stabilizer; low density ... See more keywords
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Low-Complexity High-Performance Low-Density Parity-Check Encoder Design for China Digital Radio Standard

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Published in 2017 at "IEEE Access"

DOI: 10.1109/access.2017.2723046

Abstract: This paper proposes a novel encoder architecture of low-density parity-check (LDPC) generator matrix in frequency modulation-China digital radio (CDR), which was promulgated in August 2013. We utilize the specific structure of LDPC parity matrix to… read more here.

Keywords: parity; encoder; density parity; parity check ... See more keywords
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Design, Simulation, and Implementation of a CMOS Analog Decoder for (480,240) Low-Density Parity-Check Code

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Published in 2017 at "IEEE Access"

DOI: 10.1109/access.2017.2742531

Abstract: The analog low-density parity-check (LDPC) decoder, which is a specific application of the probabilistic computing, is considered to be a promising solution for power-constrained applications. However, due to the lack of efficient electronic design automation… read more here.

Keywords: density parity; parity check; analog; low density ... See more keywords
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Spatially Coupled Generalized Low-Density Parity-Check Codes Over Class-A Impulsive Noise Channels

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Published in 2019 at "IEEE Access"

DOI: 10.1109/access.2019.2913370

Abstract: 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… read more here.

Keywords: parity check; density parity; gldpc codes; low density ... See more keywords
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Cyclic Low Density Parity Check Codes With the Optimum Burst Error Correcting Capability

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Published in 2020 at "IEEE Access"

DOI: 10.1109/access.2020.3032837

Abstract: The paper presents a new scheme of cyclic codes suitable for the correction of burst errors. This is accomplished by the proper definition of their parity check polynomials in which the difference between orders of… read more here.

Keywords: parity check; density parity; codes optimum; parity ... See more keywords
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A Generalized Parity-Check Transformation for Iterative Soft-Decision Decoding of Binary Cyclic Codes

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Published in 2020 at "IEEE Communications Letters"

DOI: 10.1109/lcomm.2019.2956935

Abstract: The conventional parity-check matrix transformation algorithm (PTA) requires matrix inversion to transform matrices of maximum distance separable (MDS) codes. However, such matrix transformation is not always guaranteed for the class of non-MDS codes. Hence, the… read more here.

Keywords: binary cyclic; parity check; cyclic codes; parity ... See more keywords
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Blind Detection and Identification of Polar Codes Based on the Parity Check Conformity

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Published in 2022 at "IEEE Communications Letters"

DOI: 10.1109/lcomm.2022.3149797

Abstract: Polar code is an emerging error-correcting code. The blind detection and identification of polar codes are less studied. This letter proposes an algorithm to determine whether a bitstream is encoded with polar codes. Also, the… read more here.

Keywords: parity check; blind detection; check conformity; identification polar ... See more keywords