Results 51 to 60 of about 9,454,079 (375)

The automorphisms and error orbits of Reed – Solomon codes

open access: yesДоклады Белорусского государственного университета информатики и радиоэлектроники, 2020
The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
doaj   +1 more source

Efficiently Mapping Linear Algebra to High-Performance Code [PDF]

open access: yes, 2019
Aware of the role that linear algebra plays in scientific applications, we investigate if/how matrix expressions can be efficiently evaluated with current high-level languages.
Barthels, Henrik   +2 more
core   +1 more source

An Introduction to Linear Mixed-Effects Modeling in R

open access: yesAdvances in Methods and Practices in Psychological Science, 2021
This Tutorial serves as both an approachable theoretical introduction to mixed-effects modeling and a practical introduction to how to implement mixed-effects models in R.
V. Brown
semanticscholar   +1 more source

Finding Dominators via Disjoint Set Union [PDF]

open access: yes, 2013
The problem of finding dominators in a directed graph has many important applications, notably in global optimization of computer code. Although linear and near-linear-time algorithms exist, they use sophisticated data structures. We develop an algorithm
Fraczak, Wojciech   +3 more
core   +1 more source

Constant composition codes as subcodes of linear codes [PDF]

open access: yesJournal of Applied Mathematics and Computing, 2019
13pages
Long Yu, Xiusheng Liu
openaire   +2 more sources

The Treewidth of MDS and Reed-Muller Codes [PDF]

open access: yes, 2011
The constraint complexity of a graphical realization of a linear code is the maximum dimension of the local constraint codes in the realization. The treewidth of a linear code is the least constraint complexity of any of its cycle-free graphical ...
Kashyap, Navin, Thangaraj, Andrew
core   +1 more source

Quantum LDPC Codes With Almost Linear Minimum Distance [PDF]

open access: yesIEEE Transactions on Information Theory, 2020
We give a construction of quantum LDPC codes of dimension $\Theta (\log N)$ and distance $\Theta (N/\log N)$ as the code length $N\to \infty $ . Using a product of chain complexes this construction also provides a family of quantum LDPC codes of ...
Pavel Panteleev, G. Kalachev
semanticscholar   +1 more source

Linear transformations on codes

open access: yesDiscrete Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David G. Glynn   +2 more
openaire   +2 more sources

Linear Codes Over a Non-Chain Ring and the MacWilliams Identities

open access: yesIEEE Access, 2020
This paper is concerned with the linear codes over the non-chain ring R=F2[v]/〈v4-v〉. First, several weight enumerators over R are defined.
Tiantian Li, Rongsheng Wu, Juan Xu
doaj   +1 more source

Optimizing Finite-Blocklength Nested Linear Secrecy Codes: Using the Worst Code to Find the Best Code

open access: yesEntropy, 2023
Nested linear coding is a widely used technique in wireless communication systems for improving both security and reliability. Some parameters, such as the relative generalized Hamming weight and the relative dimension/length profile, can be used to ...
Morteza Shoushtari, Willie Harrison
doaj   +1 more source

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