Results 21 to 30 of about 773 (112)
Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors are more probable than qudit ...
Carlos Galindo +3 more
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Error correcting codes from sub-exceeding functions [PDF]
In this paper, we present linear systematic error-correcting codes $\mathcal{L}_{k}$ and $\mathcal{L}^{+}_{k}$ which are the results of our research on the sub-exceeding functions.
L. Rabefihavanana +2 more
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Quantum illumination assistant with error-correcting codes
We scheme how to enhance the detection ability of quantum target recognition without using entanglement resources. Based on the commonly used error-correcting codes and corresponding decoding method, our scheme gives lower error probability and higher ...
Wen-Zhao Zhang +3 more
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The author describes an elementary approach to error-correcting codes which can be presented to second year (general level) students. In this approach, students can see simple abstract concepts being used to solve an easily described practical problem.
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Construction of quaternary quantum error-correcting codes via orthogonal arrays
This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
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On the error-correcting capabilities of iterative error correction codes
The influence of the theory of information on development of the error correcting coding theory has been studied. Main differences between the probabilistic approach and the deterministic approach in the analysis of error-correcting capabilities of different classes of linear codes have been demonstrated. The automaton hierarchical models for analysis
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Fault-tolerant hyperbolic Floquet quantum error correcting codes [PDF]
A central goal in quantum error correction is to reduce the overhead of fault-tolerant quantum computing by increasing noise thresholds and reducing the number of physical qubits required to sustain a logical qubit.
Ali Fahimniya +6 more
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Block Markov superposition transmission of LDPC codes
In this paper, based on the block Markov superposition transmission (BMST) technique, we present a new class of coupled low-density parity-check (LDPC) codes for the transport block (TB)-based transmission to improve the error-correcting performance. For
Qianfan Wang, Kongjing Guo, Xiao Ma
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On the number of errors correctable with codes on graphs [PDF]
We study ensembles of codes on graphs (generalized low-density parity-check, or LDPC codes) constructed from random graphs and fixed local constrained codes, and their extension to codes on hypergraphs. It is known that the average minimum distance of codes in these ensembles grows linearly with the code length.
Alexander Barg, Arya Mazumdar
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Usage of polar codes for fixed and random length error bursts correction
Error correction during data storage, processing, and transmission allows for ensuring data integrity. Channel coding techniques are used to counteract these errors.
A. A. Ovchinnikov
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