Results 61 to 70 of about 773 (112)
Quantum error correction with the semion code
New Journal of Physics, 2019 Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume +3 more
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Error Correction in Dynamical Codes
QuantumWe ask what is the general framework for a quantum error correcting code that is defined by a sequence of measurements. Recently, there has been much interest in Floquet codes and space-time codes. In this work, we define and study the distance of a dynamical code.
Esther Xiaozhen Fu, Daniel Gottesman
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Ratio Mathematica, 2009 There are several kinds of burst errors for which error detecting and error correcting codes have been constructed. In this paper, we consider a new kind of burst error which will be termed as ‘2-repeated burst error of length b(fixed)’.
B. K. Dass, Poonam Garg
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Knot theory and error-correcting codes
Designs, Codes and CryptographyAbstract This paper builds a novel bridge between algebraic coding theory and mathematical knot theory, with applications in both directions. We give methods to construct error-correcting codes starting from the colorings of a knot, describing through a series of results how the properties of the knot translate into code parameters.
Altan Berdan Kilic +3 more
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On the Design of Error-Correcting Ciphers
EURASIP Journal on Wireless Communications and Networking, 2006 Securing transmission over a wireless network is especially challenging, not only because of the inherently insecure nature of the medium, but also because of the highly error-prone nature of the wireless environment.
Mathur Chetan Nanjunda +2 more
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Multilevel coding scheme based on low-density parity-check codes in DAMB
Tongxin xuebao, 2006 A multilevel coding（MLC）scheme based on LDPC codes was investigated for digital amplitude modulation broadcasting（DAMB）system.Firstly,code rates of MLC were designed,then a multistage decoding strategy was provided based on reliability information ...
WANG Jia-qing, YU Xiao-yan, WU Le-nan
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DNA Barcoding through Quaternary LDPC Codes.
PLoS ONE, 2015 For many parallel applications of Next-Generation Sequencing (NGS) technologies short barcodes able to accurately multiplex a large number of samples are demanded.
Elizabeth Tapia +4 more
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Unbounded Error Correcting Codes
Traditional error-correcting codes (ECCs) assume a fixed message length, but many scenarios involve ongoing or indefinite transmissions where the message length is not known in advance. For example, when streaming a video, the user should be able to fix a fraction of errors that occurred before any point in time. We introduce unbounded error-correcting
Klim Efremenko, Or Zamir
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search Article Periodical burst error correcting codes with decoding error probability [PDF]
Discrete Mathematics Letters, 2021 Pankaj Kumar Das, Letminthang Haokip
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Error Correcting Codes in Quantum Theory
Physical Review Letters, 1996 Summary: A new type of uncertainty relation is presented, concerning the information-bearing properties of a discrete quantum system. A natural link is then revealed between basic quantum theory and the linear error correcting codes of classical information theory.
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