Results 1 to 10 of about 59,638 (210)

New binary and ternary LCD codes [PDF]

open access: yesIEEE Transactions on Information Theory, 2017
LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos   +3 more
core   +6 more sources

New entanglement-assisted quantum codes constructed from Hermitian LCD codes

open access: yesAIMS Mathematics, 2023
Hermitian linear complementary dual (LCD) codes are a class of linear codes that intersect with their Hermitian dual trivially. Each Hermitian LCD code can give an entanglement-assisted quantum error-correcting code (EAQECC) with maximal entanglement ...
Yuezhen Ren, Ruihu Li , Guanmin Guo
doaj   +1 more source

On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings

open access: yesAxioms, 2023
Let Fq be a field of order q, where q is a power of an odd prime p, and α and β are two non-zero elements of Fq. The primary goal of this article is to study the structural properties of cyclic codes over a finite ring R=Fq[u1,u2]/⟨u12−α2,u22−β2,u1u2 ...
Shakir Ali   +5 more
doaj   +1 more source

Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
doaj   +1 more source

Self-Dual Double Circulant, Self-Dual Double Negacirculant and LCD Double Negacirculant Codes Over the Ring Fq[u,v]/<u2 - u, v2-v, uv-vu>

open access: yesIEEE Access, 2023
In this paper, we investigate self-dual double circulant, and self-dual and linear complementary dual (LCD) double negacirculant codes over a finite ring $R = \mathbb F_{q} + u \mathbb F_{q} + v \mathbb F_{q} + uv\mathbb F_{q}$ , where $u^{2}=u$ , $v^{
Hai Q. Dinh   +4 more
doaj   +1 more source

Double circulant complementary dual codes over $ \mathbb{F}_4 $

open access: yesAIMS Mathematics, 2023
Linear codes with complementary-duals (LCD codes) are linear codes that trivially intersect with their dual (Massey, 1992). In this paper, we study double circulant codes (DC codes), which are a special class of quasi-cyclic codes, over $ \mathbb{F}_4 ...
Hatoon Shoaib
doaj   +1 more source

Design and implementation of a smart wireless controlled visual acuity measurement system

open access: yesJournal of Medical Signals and Sensors, 2023
In this article, a smart visual acuity measurement (VAM) system is designed and implemented. Hardware of the proposed VAM system consists of two parts: a wireless remote controller, and a high-resolution LCD controlled through a Raspberry-Pi mini ...
Mohammad Hossein Vafaie   +1 more
doaj   +1 more source

Camera Calibration Using Gray Code

open access: yesSensors, 2019
In order to determine camera parameters, a calibration procedure involving the camera recordings of a checkerboard is usually performed. In this paper, we propose an alternative approach that uses Gray-code patterns displayed on an LCD screen.
Seppe Sels   +3 more
doaj   +1 more source

LCD codes and LCP of codes from units of group rings

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
A linear code with complementary dual(LCD) is a linear code such that LCD codes are of greatimportance due to their wide range of applications in consumer electronics,storage systems and cryptography. Group rings have a rich source of units. Alsothe well-
Mehmet Emin Köroğlu
doaj   +1 more source

A Multisecret-Sharing Scheme Based on LCD Codes

open access: yesMathematics, 2020
Secret sharing is one of the most important cryptographic protocols. Secret sharing schemes (SSS) have been created to that end. This protocol requires a dealer and several participants.
Adel Alahmadi   +5 more
doaj   +1 more source

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