Results 21 to 30 of about 210 (96)
Some Results on Images of a Class of λ-Constacyclic Codes Over Finite Fields
IEEE Access, 2020 In this paper, we show that any λ-constacyclic code over Fqm is a λ-constacyclic code over Fq under some special maps. Moreover, we show that the images of these λ_constacyclic codes can be put into the concatenated form.
Jian Gao, Juan Li, Yongkang Wang
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Thresholds for Universal Concatenated Quantum Codes [PDF]
Physical Review Letters, 2016 Quantum error correction and fault-tolerance make it possible to perform quantum computations in the presence of imprecision and imperfections of realistic devices. An important question is to find the noise rate at which errors can be arbitrarily suppressed. By concatenating the 7-qubit Steane and 15-qubit Reed-Muller codes, the 105-qubit code enables
Tomas Jochym-O'Connor +4 more
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Concatenated Coding for GNSS Signals in Urban Environments
Applied Sciences, 2020 This work investigated concatenated coding schemes for Global Navigation Satellite System (GNSS) signals in order to increase their error correction capability in urban environments.
Jing Ke +4 more
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Analysis of Near-Capacity Iterative Decoding Schemes for Wireless Communication Using EXIT Charts
IEEE Access, 2020 This article proposes and compares the performance of three flexible and bandwidth efficient transceivers. The terminology of Over-Complete Mapping (OCM) is introduced in the first two schemes.
Nasru Minallah +6 more
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Avoiding coherent errors with rotated concatenated stabilizer codes
npj Quantum Information, 2021 Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors.
Yingkai Ouyang
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Reduced complexity hard‐ and soft‐input BCH decoding with applications in concatenated codes
IET Circuits, Devices and Systems, 2021 Error correction coding for optical communication and storage requires high rate codes that enable high data throughput and low residual errors. Recently, different concatenated coding schemes were proposed that are based on binary BCH codes with low ...
Jürgen Freudenberger +2 more
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A unified ensemble of concatenated convolutional codes [PDF]
2017 IEEE International Symposium on Information Theory (ISIT), 2017 We introduce a unified ensemble for turbo-like codes (TCs) that contains the four main classes of TCs: parallel concatenated codes, serially concatenated codes, hybrid concatenated codes, and braided convolutional codes. We show that for each of the original classes of TCs, it is possible to find an equivalent ensemble by proper selection of the design
Moloudi, Saeedeh +2 more
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Qubit-Oscillator Concatenated Codes: Decoding Formalism and Code Comparison
PRX Quantum, 2023 Concatenating bosonic error-correcting codes with qubit codes can substantially boost the error-correcting power of the original qubit codes. It is not clear how to concatenate optimally, given that there are several bosonic codes and concatenation ...
Yijia Xu +3 more
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Entanglement-assisted concatenated quantum codes
Proceedings of the National Academy of Sciences, 2022 Entanglement-assisted concatenated quantum codes (EACQCs), constructed by concatenating two quantum codes, are proposed. These EACQCs show significant advantages over standard concatenated quantum codes (CQCs). First, we prove that, unlike standard CQCs, EACQCs can beat the nondegenerate Hamming bound for entanglement-assisted quantum error-correction ...
Jihao Fan +4 more
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Improved DC-Free Run-Length Limited 4B6B Codes for Concatenated Schemes
IEEE Access, 2022 In this letter, we introduce a class of improved DC-free 4B6B codes in terms of error correction capabilities for a serially concatenated architecture. There are billions of different codebooks that can be derived from the 16 codewords contained in the ...
Elie Ngomseu Mambou +2 more
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