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Some New Quantum BCH Codes over Finite Fields [PDF]

open access: yesEntropy, 2021
Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes.
Lijuan Xing, Zhuo Li
doaj   +2 more sources

Analysis of Blind Reconstruction of BCH Codes [PDF]

open access: yesEntropy, 2020
In this paper, the theoretical lower-bound on the success probability of blind reconstruction of Bose–Chaudhuri–Hocquenghem (BCH) codes is derived. In particular, the blind reconstruction method of BCH codes based on the consecutive roots of generator ...
Soonhee Kwon, Dong-Joon Shin
doaj   +2 more sources

The genetic landscape of congenital diarrheas and very early onset inflammatory bowel disease in the Middle East. [PDF]

open access: yesJPGN Rep
Abstract Objectives Monogenic causes of congenital diarrheas and enteropathies (CoDE) and very early onset inflammatory bowel disease (VEOIBD) are mostly recessive and therefore more prevalent in populations with increased consanguinity rates. To assess the genetic basis of these disorders in a likely high‐prevalence population, we established a multi ...
Gillette L   +21 more
europepmc   +2 more sources

Construction of Some New Quantum BCH Codes

open access: yesIEEE Access, 2018
Classical Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields have been studied extensively. One can construct quantum stabilizer codes with good parameters using classical BCH codes. In this paper, our goal is to find such classical BCH codes.
Nianqi Tang, Lijuan Xing, Ming Zhang
exaly   +3 more sources

Syndemic Classes of Unhealthy Alcohol Use Reveal Inequities in Alcohol-Related Consequences and HIV Care Outcomes. [PDF]

open access: yesAlcohol Clin Exp Res (Hoboken)
Among 4574 adults with HIV in Kaiser Permanente Northern California, latent class analysis identified four syndemic classes combining alcohol use with co‐occurring conditions: Heavy Use/Complex Behavioral Multimorbidity, Moderate Use/High Cardiometabolic Burden, Low Use/High Medical Morbidity, and Moderate Use/Low Morbidity.
Van Doren N   +16 more
europepmc   +2 more sources

Construction and Decoding of BCH-Codes Over the Gaussian Field

open access: yesIEEE Access, 2023
In this article, first we deliberate the theory of the Gaussian field and extension field of the Gaussian field. Secondly, we provide a comprehensive construction scheme for BCH codes over the Gaussian field.
Muhammad Sajjad   +3 more
doaj   +1 more source

Ciphered BCH Codes for PAPR Reduction in the OFDM in Underwater Acoustic Channels

open access: yesJournal of Marine Science and Engineering, 2022
We propose an effective, low complexity and multifaceted scheme for peak-to-average power ratio (PAPR) reduction in the orthogonal frequency division multiplexing (OFDM) system for underwater acoustic (UWA) channels.
Mohsin Murad   +2 more
doaj   +1 more source

VLSI Architectures for Reed–Solomon Codes: Classic, Nested, Coupled, and Beyond

open access: yesIEEE Open Journal of Circuits and Systems, 2020
Classic Reed-Solomon (RS) codes and binary Bose-Chaudhuri-Hocquenghem (BCH) codes, which can be considered as a special case of RS codes, are utilized for error correction in numerous systems, such as Flash memories, optical communications, wireless ...
Xinmiao Zhang
doaj   +1 more source

Generic BCH codes. Polynomial-norm error decoding

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2020
The classic Bose – Chaudhuri – Hocquenghem (BCH) codes is famous and well-studied part in the theory of error-correcting codes. Generalization of BCH codes allows us to expand the range of activities in the practical correction of errors.
Alexander V. Kushnerov   +1 more
doaj   +1 more source

Lower Bound on the Minimum Distance of Single-Generator Quasi-Twisted Codes

open access: yesMathematics, 2023
We recall a classic lower bound on the minimum Hamming distance of constacyclic codes over finite fields, analogous to the well-known BCH bound for cyclic codes.
Adel Alahmadi   +2 more
doaj   +1 more source

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