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A Concatenated Error-Correction System Using the $$|u|u+v|$$ Code Construction [PDF]
Concatenation of good codes is a classic method of constructing longer codes which are good codes. As codes are increased in length it becomes progressively harder to realise a near maximum likelihood decoder. This chapter presents a novel concatenated code arrangement featuring multiple, near maximum likelihood, decoders designed for an optimised ...
Martin Tomlinson +4 more
core +5 more sources
Concatenated Quantum Codes Constructible in Polynomial Time: Efficient Decoding and Error Correction [PDF]
A method for concatenating quantum error-correcting codes is presented. The method is applicable to a wide class of quantum error-correcting codes known as Calderbank-Shor-Steane (CSS) codes.
Mitsuru Hamada
core +6 more sources
Concatenated Forward Error Correction with KP4 and Single Parity Check Codes [PDF]
Concatenated forward error correction is studied using an outer KP4 Reed-Solomon code with hard-decision decoding and inner single parity check (SPC) codes with Chase/Wagner soft-decision decoding.
Diego Lentner +5 more
openalex +3 more sources
Code-Based Cryptography With Generalized Concatenated Codes for Restricted Error Values
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 +2 more sources
Hardware-efficient quantum error correction via concatenated bosonic qubits. [PDF]
To solve problems of practical importance1,2, quantum computers probably need to incorporate quantum error correction, in which a logical qubit is redundantly encoded in many noisy physical qubits3, 4–5.
Putterman H +120 more
europepmc +3 more sources
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 +2 more sources
The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure
Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a
Zunaira Babar +4 more
doaj +3 more sources
Generalized Concatenated Codes over Gaussian and Eisenstein Integers for Code-Based Cryptography
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
doaj +2 more sources
One of the approaches to organization of error correcting coding for multilevel flash memory is based on concatenated construction, in particular, on multidimensional lattices for inner coding. A characteristic feature of such structures is the dominance
Feliks Taubin, Andrey Trofimov
openalex +3 more sources
RC-LDPC-Polar Codes for Information Reconciliation in Continuous-Variable Quantum Key Distribution [PDF]
Continuous-variable quantum key distribution faces significant challenges, including quantum channel instability, particularly fluctuations in the signal-to-noise ratio (SNR) and extremely low SNR scenarios.
Fei Hua +5 more
doaj +2 more sources

