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Quantum XYZ Product Codes [PDF]

open access: yesQuantum, 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
doaj   +7 more sources

Squares of matrix-product codes [PDF]

open access: yesFinite 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
semanticscholar   +8 more sources

Union-Find Decoders For Homological Product Codes [PDF]

open access: yesQuantum, 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
doaj   +3 more sources

Irregular product codes [PDF]

open access: yes2012 IEEE Information Theory Workshop, 2012
First ...
Masoud Alipour   +3 more
openaire   +4 more sources

Practical Product Code Construction of Polar Codes [PDF]

open access: yesIEEE Transactions on Signal Processing, 2020
Under review in IEEE Transactions on Signal Processing.
Carlo Condò   +2 more
exaly   +4 more sources

Implementation and Performance of Face Recognition Payment System Securely Encrypted by SM4 Algorithm

open access: yesInformation, 2022
Face recognition payment is a new type of payment method, with AI face recognition technology as the core, and its speed and convenience are more in line with the users’ payment habits. However, the face is a biological feature with weak privacy, and the
Yukun Zhou   +5 more
doaj   +1 more source

Degenerate Quantum LDPC Codes With Good Finite Length Performance [PDF]

open access: yesQuantum, 2021
We study the performance of medium-length quantum LDPC (QLDPC) codes in the depolarizing channel. Only degenerate codes with the maximal stabilizer weight much smaller than their minimum distance are considered. It is shown that with the help of OSD-like
Pavel Panteleev, Gleb Kalachev
doaj   +1 more source

Implementation of Cryptographic Algorithm in Dynamic QR Code Payment System and Its Performance

open access: yesIEEE Access, 2021
QR code payment plays an indispensable role in the mobile payment market, and the security of scanning codes has always been a problem in the field of information security.
Yukun Zhou   +3 more
doaj   +1 more source

Homological product codes [PDF]

open access: yesProceedings of the forty-sixth annual ACM symposium on Theory of computing, 2014
49 ...
Sergey Bravyi 0001, Matthew B. Hastings
openaire   +2 more sources

A product-coded WDM coding system [PDF]

open access: yesIEEE 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
openaire   +1 more source

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