Results 31 to 40 of about 6,858,976 (254)

Duality of Codes Over Non-Unital Rings of Order Four

IEEE Access, 2023
In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely $I$ , $E$ , and $H$ as denoted in (Fine, 1993).
Adel Alahmadi, Asmaa Melaibari, Patrick Sole   +2 more
doaj   +1 more source

New Construction of Maximum Distance Separable (MDS) Self-Dual Codes over Finite Fields

Entropy, 2019
Maximum distance separable (MDS) self-dual codes have useful properties due to their optimality with respect to the Singleton bound and its self-duality.
Aixian Zhang, Zhe Ji
doaj   +1 more source

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

The Quantum States of a Graph

Mathematics, 2023
Quantum codes are crucial building blocks of quantum computers. With a self-dual quantum code is attached, canonically, a unique stabilised quantum state. Improving on a previous publication, we show how to determine the coefficients on the basis of kets
Mohd Arif Raza, Adel N. Alahmadi, Widyan Basaffar, David G. Glynn, Manish K. Gupta, James W. P. Hirschfeld, Abdul Nadim Khan, Hatoon Shoaib, Patrick Solé   +8 more
doaj   +1 more source

Reversible Codes in Mat_n×s(Fq) Under NRT-Metric

IEEE Access
Reversible codes play an essential role in coding theory because of their structural symmetry and broad applications in error control, cryptography, and DNA computing.
Bodigiri Sai Gopinadh, Venkatrajam Marka
doaj   +1 more source

Representing Small Identically Self-Dual Matroids By Self-Dual Codes [PDF]

, 2005
The matroid associated to a linear code is the representable matroid that is defined by the columns of any generator matrix. The matroid associated to a self-dual code is identically self-dual, but it is not known whether every identically self-dual ...
Padró, Carles, Gracia, I., Carles Padró, Padró, C. (Carles), Ignacio Gracia   +4 more
core   +1 more source

Dual-interactive fusion for code-mixed deep representation learning in tag recommendation

, 2023
Automatic tagging on software information sites is a tag recommendation service. It aims to recommend content-based tags for a software object to help developers make distinctions among software objects.
Li, Lin, Zheng, Xinhao, Lin Li, Xinhao Zheng, Juan D. Velásquez, Peipei Wang, Qing Xie, Tao, Xiaohui, Wang, Peipei, Velasquez, Juan D., Xiaohui Tao, Xie, Qing   +11 more
core   +1 more source

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

There is no Euclidean self-dual quaternary [18,9,7] code

, 2010
International audienceIn this paper, we prove that there is no Euclidean self-dual quaternary [18, 9, 7] code for the Hamming distance. The proof is based on a generalisation of the balance principle to Euclidean self-dual quaternary codes. We prove that
Chabot, Christophe, Gaborit, Philippe, Aguilar Melchor, Carlos   +2 more
core   +1 more source

An extremal ternary self-dual [28,14,9] code with a trivial automorphism group [PDF]

, 2001
In this paper, we show that the smallest length for which there is an extremal ternary self-dual code with a trivial automorphism group is 28 by constructing such a code of length 28.
Masaaki Harada, Harada, Masaaki
core   +1 more source