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Some New Quantum BCH Codes over Finite Fields [PDF]
Entropy, 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
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Analysis of Blind Reconstruction of BCH Codes [PDF]
Entropy, 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
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IEEE Transactions on Information Theory, 1999 Using a new parity-check matrix, a class of convolutional codes with a designed free distance is introduced. This new class of codes has many characteristics of BCH block codes, therefore, we call these codes BCH convolutional ...
Joachim Rosenthal
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On Quantum and Classical BCH Codes [PDF]
IEEE Transactions on Information Theory, 2007 Classical BCH codes that contain their (Euclidean or Hermitian) dual codes can be used to construct quantum stabilizer codes; this correspondence studies the properties of such codes. It is shown that a BCH code of length n can contain its dual code only if its designed distance d=O(sqrt(n)), and the converse is proved in the case of narrow-sense codes.
Pradeep Sarvepalli +2 more
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A Class of Narrow-Sense BCH Codes [PDF]
IEEE Transactions on Information Theory, 2019 BCH codes are an important class of cyclic codes which have applications in satellite communications, DVDs, disk drives, and two-dimensional bar codes. Although BCH codes have been widely studied, their parameters are known for only a few special classes. Recently, Ding et al. made some new progress in BCH codes.
Shixin Zhu +2 more
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Construction and Decoding of BCH-Codes Over the Gaussian Field
IEEE 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
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Ciphered BCH Codes for PAPR Reduction in the OFDM in Underwater Acoustic Channels
Journal 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
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Generic BCH codes. Polynomial-norm error decoding
Журнал 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
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VLSI Architectures for Reed–Solomon Codes: Classic, Nested, Coupled, and Beyond
IEEE 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
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Lower Bound on the Minimum Distance of Single-Generator Quasi-Twisted Codes
Mathematics, 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
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