Results 1 to 10 of about 390,939 (260)
Practical Product Code Construction of Polar Codes [PDF]
IEEE Transactions on Signal Processing, 2020 Under review in IEEE Transactions on Signal Processing.
Carlo Condò +2 more
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Quantum XYZ Product Codes [PDF]
Quantum, 2022 We study a three-fold variant of the hypergraph product code construction, differing from the standard homological product of three classical codes. When instantiated with 3 classical LDPC codes, this "XYZ product" yields a non CSS quantum LDPC code ...
Anthony Leverrier +2 more
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Union-Find Decoders For Homological Product Codes [PDF]
Quantum, 2021 Homological product codes are a class of codes that can have improved distance while retaining relatively low stabilizer weight. We show how to build union-find decoders for these codes, using a union-find decoder for one of the codes in the product and ...
Nicolas Delfosse, Matthew B. Hastings
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Minimal State-Space Representation of Convolutional Product Codes
Mathematics, 2021 In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes.
Joan-Josep Climent +3 more
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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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Homological product codes [PDF]
Proceedings of the forty-sixth annual ACM symposium on Theory of computing, 2014 49 ...
Sergey Bravyi 0001, Matthew B. Hastings
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A product-coded WDM coding system [PDF]
IEEE Transactions on Communications, 1996 Forward error correction is a feasible approach for reducing the bit error floor of lightwave systems, arising from the fact that a simple single-error-correcting code can reduce the error floor from O(P/sub e/) to O(P/sub e//sup 2/). We propose a novel wavelength demultiplexer (WDM) coding system using a product code to improve the performance of WDM ...
Ming-Seng Kao, Hsin-Yuan Chen, Das Lin
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Squares of matrix-product codes [PDF]
Finite Fields and Their Applications, 2020 The component-wise or Schur product $C*C'$ of two linear error correcting codes $C$ and $C'$ over certain finite field is the linear code spanned by all component-wise products of a codeword in $C$ with a codeword in $C'$. When $C=C'$, we call the product the square of $C$ and denote it $C^{*2}$.
Ignacio Cascudo +2 more
openaire +5 more sources
Discrete Dynamics in Nature and Society, 2021 Health QR code is an Internet product designed and developed by China to combat the COVID-19 pandemic. In order to build a public health and epidemic prevention barrier, the Chinese government’s health QR code product is a useful attempt to deal with ...
Zishun Su +4 more
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