Results 1 to 10 of about 434,851 (98)
Gottesman-Kitaev-Preskill codes: A lattice perspective [PDF]
Quantum, 2022 We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of stabilizer codes.
Jonathan Conrad +2 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
doaj +1 more source
Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography
Cryptography, 2021 The code-based McEliece and Niederreiter cryptosystems are promising candidates for post-quantum public-key encryption. Recently, q-ary concatenated codes over Gaussian integers were proposed for the McEliece cryptosystem, together with the one-Mannheim ...
Johann-Philipp Thiers +1 more
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Qubit-oscillator concatenated codes: decoding formalism & code comparison [PDF]
PRX Quantum 4, 020342 (2023), 2022 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 there are several bosonic codes and concatenation schemes to choose from, including the recently discovered GKP-stabilizer codes [Phys. Rev. Lett.
arxiv +1 more source
PLoS ONE, 2022 Most synchronization error correction codes deal with random independent insertion and deletion errors without correlation. In this paper, we propose a probabilistic channel model with correlated insertion and deletion (CID) errors to capture the data ...
Tianbo Xue
doaj +1 more source
Concatenating quantum error-correcting codes with decoherence-free subspaces and vice versa [PDF]
Phys. Rev. A 109, 062411 (2024), 2023 Quantum error-correcting codes (QECCs) and decoherence-free subspace (DFS) codes provide active and passive means, respectively, to address certain types of errors that arise during quantum computation. The latter technique is suitable to correct correlated errors with certain symmetries and the former to correct independent errors.
arxiv +1 more source
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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Code-Based Cryptography With Generalized Concatenated Codes for Restricted Error Values
IEEE Open Journal of the Communications Society, 2022 Code-based cryptosystems are promising candidates for post-quantum cryptography. Recently, generalized concatenated codes over Gaussian and Eisenstein integers were proposed for those systems. For a channel model with errors of restricted weight, those q-
Johann-Philipp Thiers +1 more
doaj +1 more source
An Improved Marker Code Scheme Based on Nucleotide Bases for DNA Data Storage
Applied Sciences, 2023 Due to the rapid growth in the global volume of data, deoxyribonucleic acid (DNA) data storage has emerged. Error correction in DNA data storage is a key part of this storage technology.
Jian Tong, Guojun Han, Yi Sun
doaj +1 more source
Fixed-latency System for High-speed Serial Transmission Between FPGA Devices with Forward Error Correction [PDF]
International Journal of Electronics and Telecommunications, 2020 This paper presents the design of a compact protocol for fixed-latency, high-speed, reliable, serial transmission between simple field-programmable gate arrays (FPGA) devices.
Michał Kruszewski +1 more
doaj +1 more source