Results 11 to 20 of about 18,445 (196)
The Minimum Distance of Some Narrow-Sense Primitive BCH Codes
SIAM Journal on Discrete Mathematics, 2017 Due to wide applications of BCH codes, the determination of their minimum distance is of great interest. However, this is a very challenging problem for which few theoretical results have been reported in the last four decades.
Li, Shuxing
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Some New Quantum BCH Codes over Finite Fields
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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IEEE Transactions on Information Theory, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rosenthal, J, York, E
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Ternary Primitive LCD BCH codes
Advances in Mathematics of Communications, 2023 16 pages.
Huang, Xinmei +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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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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A novel BCS code in F-OFDM system: a promising candidate for 5G wireless communication systems [PDF]
, 2021 Due to the rapid growth in wireless communication systems, Long Term Evolution (LTE), mainly based on Orthogonal Frequency Division Multiplexing (OFDM), no longer meets wireless communication systems request and higher data rate requirements. Thus,
Hussain, Ghasan Ali
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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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Long Nonbinary Codes Exceeding the Gilbert - Varshamov Bound for any Fixed Distance [PDF]
, 2004 Let A(q,n,d) denote the maximum size of a q-ary code of length n and distance d. We study the minimum asymptotic redundancy \rho(q,n,d)=n-log_q A(q,n,d) as n grows while q and d are fixed.
Dumer, Ilya, Yekhanin, Sergey
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