Results 31 to 40 of about 190,937 (260)
MDR codes and self-dual codes on Cartesian product codes
Tongxin xuebao, 2010 A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
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On the minimum stopping sets of product codes [PDF]
Transactions on Combinatorics, 2018 It is shown that the certain combinatorial structures called stopping sets have the important role in analysis of iterative decoding. In this paper, the number of minimum stopping sets of a product code is determined by the number of the minimum stopping
Morteza Hivadi, Akbar Zare Chavoshi
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Single-Shot Error Correction of Three-Dimensional Homological Product Codes
PRX Quantum, 2021 Single-shot error correction corrects data noise using only a single round of noisy measurements on the data qubits, removing the need for intensive measurement repetition.
Armanda O. Quintavalle +3 more
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Fast erasure decoder for hypergraph product codes [PDF]
QuantumWe propose a decoder for the correction of erasures with hypergraph product codes, which form one of the most popular families of quantum LDPC codes.
Nicholas Connolly +3 more
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Decoding across the quantum low-density parity-check code landscape
Physical Review Research, 2020 We show that belief propagation combined with ordered statistics post-processing is a general decoder for quantum low-density parity-check codes constructed from the hypergraph product.
Joschka Roffe +3 more
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A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
wiley +1 more source
Four Times Extended Reed Solomon Codes, their Decoding and Application in EII Codes for Data Repair
Elektronika ir ElektrotechnikaData recovery in distributed and general storage systems requires a broad range of regenerating codes with different properties such as locality, availability, scalability, etc.
Peter Farkas +4 more
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Partial Syndrome Measurement for Hypergraph Product Codes [PDF]
QuantumHypergraph product codes are a promising avenue to achieving fault-tolerant quantum computation with constant overhead. When embedding these and other constant-rate qLDPC codes into 2D, a significant number of nonlocal connections are required, posing ...
Noah Berthusen, Daniel Gottesman
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A survey on product codes and 2-D codes
CoRR, 2021 40 pages, typos corrected, references added.
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Qudit homological product codes [PDF]
Quantum Information and Computation, 2017 In this note we show that the random homological product code construction of Bravyi and Hastings can be extended to qudits of dimension D with D an odd prime. While the result is not surprising, the proof does require new ideas.
Máté Farkas, Péter Vrana
openaire +4 more sources