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PERSYMMETRIC MATRIX AND ITS APPLICATION IN CODING THEORY

Barekeng
A persymmetric matrix is a square matrix that is symmetric concerning its antidiagonal. This article discusses some characteristics of a persymmetric matrix and its application in coding theory. A persymmetric matrix is used to form a generator matrix of
Ardi Nur Hidayat, Vira Hari Krisnawati, Abdul Rouf Alghofari   +2 more
doaj   +1 more source

New extremal binary self-dual codes of length 68 from quadratic residue codes over f_2+uf_2+u^2f_2

, 2013
In this work, quadratic reside codes over the ring F2 +uF2 +u^2F2 with u^3 = u are considered. A duality and distance preserving Gray map from F2 + uF2 + u^2F2 to (F_2)^3 is defined.
Kaya, Abidin, Siap, Irfan, Yildiz, Bahattin   +2 more
core   +1 more source

Triorthogonal codes and self-dual codes

Quantum Information Processing
21 ...
Shi, Minjia, Lu, Haodong, Kim, Jon-Lark, Solé, Patrick   +3 more
openaire   +2 more sources

On Self-Dual Four Circulant Codes [PDF]

International Journal of Foundations of Computer Science, 2018
Four circulant codes form a special class of [Formula: see text]-generator, index [Formula: see text], quasi-cyclic codes. Under some conditions on their generator matrix they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert–Varshamov bound.
Shi, Minjia, Zhu, Hongwei, Qian, Liqin, Solé, Patrick   +3 more
openaire   +4 more sources

Language athletes: Dual-language code-switchers exhibit inhibitory control advantages

Frontiers in Psychology, 2023
Recent studies have begun to examine bilingual cognition from more nuanced, experienced-based perspectives. The present study adds to this body of work by investigating the potential impact of code-switching on bilinguals’ inhibitory control abilities ...
Leah Gosselin, Laura Sabourin
doaj   +1 more source

Group rings, G-codes and constructions of self-dual and formally self-dual codes [PDF]

Designs, Codes and Cryptography, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dougherty, Steven, Gildea, Joe, Taylor, Rhian, Tylyshchak, Alexander   +3 more
openaire   +2 more sources

Reversible Self-Dual Codes Over the Ring F₂ + uF₂

IEEE Access
In this study, we introduce bisymmetric self-dual codes over the finite field ${\mathbb F}_{2}$ of order two. We developed a method to generate binary bisymmetric self-dual codes from a small-length bisymmetric self-dual code by increasing its length ...
Hyun Jin Kim, Whan-Hyuk Choi
doaj   +1 more source

Graph-Based Classification of Self-Dual Additive Codes over Finite Fields

, 2008
Quantum stabilizer states over GF(m) can be represented as self-dual additive codes over GF(m^2). These codes can be represented as weighted graphs, and orbits of graphs under the generalized local complementation operation correspond to equivalence ...
Danielsen, Lars Eirik
core   +4 more sources

Duality of codes over non-unital rings of order six

AIMS Mathematics
Some basic theory on the duality of codes over two non-unital rings of order $ 6 $, namely $ H_{23} $ and $ H_{32} $ is presented. For a code $ {{\mathcal C}} $ over these rings, there is an associated binary code $ {{\mathcal C}}_a $ and a ternary code $
Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez   +2 more
doaj   +1 more source

Structural biology of ferritin nanocages

FEBS Letters, EarlyView.
Ferritin is a conserved iron‐storage protein that sequesters iron as a ferric mineral core within a nanocage, protecting cells from oxidative damage and maintaining iron homeostasis. This review discusses ferritin biology, structure, and function, and highlights recent cryo‐EM studies revealing mechanisms of ferritinophagy, cellular iron uptake, and ...
Eloise Mastrangelo, Flavio Di Pisa
wiley   +1 more source