A novel method for encoding and decoding based on enhanced parity-check-concatenated polar codes
Polar codes have perfect coding and decoding performance as a kind of error correction code, which have become a standard coding scheme for 5G short code control channel. While the length of polar codes is short, its performance is not good enough.
Yan WANG+3 more
doaj +2 more sources
Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes
We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information.
Filip Rozpędek+4 more
doaj +1 more source
Reverse Concatenated Coded Modulation for High-Speed Optical Communication
We propose the reverse concatenated code as a forward error correction (FEC) scheme suitable for beyond 100-Gb/s optical transmission. In this scheme, BCH code is used as inner code and low-density parity-check (LDPC) code as outer code.
Ivan B. Djordjevic, Lei Xu, Ting Wang
doaj +1 more source
Building a Fault-Tolerant Quantum Computer Using Concatenated Cat Codes
We present a comprehensive architectural analysis for a proposed fault-tolerant quantum computer based on cat codes concatenated with outer quantum error-correcting codes.
Christopher Chamberland+15 more
doaj +1 more source
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 +1 more source
Reduced complexity hard‐ and soft‐input BCH decoding with applications in concatenated codes
Error correction coding for optical communication and storage requires high rate codes that enable high data throughput and low residual errors. Recently, different concatenated coding schemes were proposed that are based on binary BCH codes with low ...
Jürgen Freudenberger+2 more
doaj +1 more source
Channel Model and Decoder With Memory for DNA Data Storage With Nanopore Sequencing
This paper investigates channel coding for DNA data storage, a recent and emerging paradigm in which both substitution errors and synchronization errors (insertions, deletions) are introduced in the stored data.
Belaid Hamoum, Elsa Dupraz
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Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction [PDF]
We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation and decoding schemes that effectively convert every circuit-level error into an erasure error, leveraging the ...
arxiv +1 more source
Correctable noise of Quantum Error Correcting Codes under adaptive concatenation [PDF]
We examine the transformation of noise under a quantum error correcting code (QECC) concatenated repeatedly with itself, by analyzing the effects of a quantum channel after each level of concatenation using recovery operators that are optimally adapted to use error syndrome information from the previous levels of the code. We use the Shannon entropy of
arxiv +1 more source
Generalized Concatenation for Quantum Codes [PDF]
We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called nonadditive codes.
arxiv +1 more source