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On the Construction and Decoding of Concatenated Polar Codes [PDF]

open access: green2013 IEEE International Symposium on Information Theory, 2013
A scheme for concatenating the recently invented polar codes with interleaved block codes is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation scheme captures the capacity ...
Hessam Mahdavifar   +3 more
core   +6 more sources

Concatenate codes, save qubits

open access: yesnpj Quantum Information
The essential requirement for fault-tolerant quantum computation (FTQC) is the total protocol design to achieve a fair balance of all the critical factors relevant to its practical realization, such as the space overhead, the threshold, and the ...
Satoshi Yoshida   +2 more
doaj   +4 more sources

Concatenated Quantum Codes [PDF]

open access: yes, 1996
One of the main problems for the future of practical quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations.
Knill, Emanuel, Laflamme, Raymond
core   +8 more sources

Concatenated Polar Codes [PDF]

open access: yes2010 IEEE International Symposium on Information Theory, 2010
Polar codes have attracted much recent attention as the first codes with low computational complexity that provably achieve optimal rate-regions for a large class of information-theoretic problems.
Bakshi, Mayank   +2 more
core   +8 more sources

Graph Concatenation for Quantum Codes [PDF]

open access: yesJournal of Mathematical Physics, 2010
Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code, and every codeword stabilized code can be described by a graph and a classical code.
Bei Zeng   +7 more
core   +9 more sources

Entanglement-assisted concatenated quantum codes [PDF]

open access: yesProceedings of the National Academy of Sciences, 2022
Significance Code concatenation that uses two or more short component codes is a significant method for designing powerful codes. Concatenated classical codes are not only asymptotically good in theory, but also have been widely used in practice. However,
Jihao Fan   +4 more
semanticscholar   +4 more sources

A Unified Ensemble of Concatenated Convolutional Codes [PDF]

open access: yes2017 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.
Amat, Alexandre Graell i   +2 more
core   +5 more sources

An Efficient Two-Stage Decoding Scheme for LDPC-CRC Concatenated Codes [PDF]

open access: yesEntropy
In modern communication systems, the concatenation of a low-density parity-check (LDPC) code with a cyclic redundancy check (CRC) code is commonly used for error correction.
Lingjun Kong   +3 more
doaj   +2 more sources

Exact Performance of Concatenated Quantum Codes [PDF]

open access: yesPhysical Review A, 2002
When a logical qubit is protected using a quantum error-correcting code, the net effect of coding, decoherence (a physical channel acting on qubits in the codeword) and recovery can be represented exactly by an effective channel acting directly on the ...
A. M. Steane   +9 more
core   +8 more sources

Evolutionary Algorithm Aided Interleaver Design for Serially Concatenated Codes [PDF]

open access: green, 2011
In this paper, we propose an algorithm for designing the interleavers of Serially Concatenated Codes (SCCs), in order to increase the Minimum Hamming Distance (MHD) between the legitimate permutations of the encoded bit sequence and hence to improve the ...
Robert G. Maunder, Lajos Hanzo
openalex   +2 more sources

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