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The q-Ary Antiprimitive BCH Codes [PDF]
IEEE Transactions on Information Theory, 2022 It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of this paper is to study BCH codes of this type over finite fields and analyse their parameters.
Hongwei Zhu +3 more
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A decoding method of an n length binary BCH code through (n + 1)n length binary cyclic code
Anais da Academia Brasileira de Ciências, 2013 For a given binary BCH code Cn of length n = 2 s - 1 generated by a polynomial of degree r there is no binary BCH code of length (n + 1)n generated by a generalized polynomial of degree 2r. However, it does exist a binary cyclic code C (n+1)n of
TARIQ SHAH +2 more
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Generalized Low-Density Parity-Check Coding Scheme with Partial-Band Jamming
Tsinghua Science and Technology, 2014 In this study, a class of Generalized Low-Density Parity-Check (GLDPC) codes is designed for data transmission over a Partial-Band Jamming (PBJ) environment.
Qi Li, Xinru Qu, Liuguo Yin, Jianhua Lu
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COMPARATIVE ANALYSIS OF LDPC AND BCH CODES ERROR-CORRECTING CAPABILITIES
Information and Telecommunication Sciences, 2014 The error-correcting capabilities of regular LDPC (Low Density Parity Check) codes and BCH (Bose-Chaudhuri-Hocquenguem) codes are examined. The qualitative analysis and the quantitative assessment of error-correcting abilities are performed for LDPC ...
Leonid O. Uryvsky, Serhii O. Osypchuk
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Electronic Notes in Discrete Mathematics, 2003 Abstract Kageyama et. al. (1997, 1999), have shown that the incidence matrices of balanced incomplete block designs or 2 - associate partially balanced incomplete block designs or ( r , λ)-designs can be used to construct error correcting codes. In this paper, we will construct some symmetric balanced incomplete block (BIB) designs, group divisible ...
M. L. Agarwal, Seema Gupta
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Construction of quantum BCH code based on cyclotomic coset
Tongxin xuebao, 2021 Quantum-error-correcting code can overcome quantum decoherence efficiently, which is the key technology to realize quantum computers.A series of quantum BCH code was proposed based on classical codes.First, a general way of well-chosen cyclotomic coset ...
Lijuan XING, Zhuo LI
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Sequences of Primitive and Non-primitive BCH Codes
Trends in Computational and Applied Mathematics, 2018 In this work, we introduce a method by which it is established that; how a sequence of non-primitive BCH codes can be obtained by a given primitive BCH code.
A. S. Ansari +3 more
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Two Novel Semi-/Auto-Adaptive SNR Algorithms to Efficiently Train Deep Neural SPA Decoders
IEEE Access, 2022 In the past few years, deep learning has been widely used in various fields due to its outstanding progress. One of the latest applications of deep learning is to use a neural network (NN) with trainable multiplicative weights to design decoders for ...
Chun-Ming Huang
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Emitter: International Journal of Engineering Technology, 2013 One way to increase the performance of Orthogonal Frequency Division Multiplexing System (OFDM) system is by adding a channel coding (error correction code) in order to detect and correct errors that occur when sending data.At communication of acoustic ...
Machmud Roby Alhamidi +2 more
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Ternary Primitive LCD BCH codes
Advances in Mathematics of Communications, 2023 16 pages.
Xinmei Huang +3 more
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