Výsledky vyhledávání - "Widyan Basaffar"

Akademický článek

Quantum Codes as an Application of Constacyclic Codes

Autor: Mohd Arif Raza, Mohammad Fareed Ahmad, Adel Alahmadi, Widyan Basaffar, Manish K. Gupta, Nadeem ur Rehman, Abdul Nadim Khan, Hatoon Shoaib, Patrick Sole

Publikováno v: Axioms, Vol 13, Iss 10, p 697 (2024)

The main focus of this paper is to analyze the algebraic structure of constacyclic codes over the ring R=Fp+w1Fp+w2Fp+w22Fp+w1w2Fp+w1w22Fp, where w12−α2=0, w1w2=w2w1, w23−β2w2=0, and α,β∈Fp∖{0}, for a prime p. We begin by introducing a Gr

Externí odkaz: https://doaj.org/article/bbc2e9b7c3e3410a82112c3685547684

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Akademický článek

The Quantum States of a Graph

Autor: 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

Publikováno v: Mathematics, Vol 11, Iss 10, p 2310 (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

Externí odkaz: https://doaj.org/article/e12fecd3938d420b87330c5ff00343bb

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Type IV codes over a non-local non-unital ring

Autor: Amani Alkathiry, Alaa Altassan, Widyan Basaffar, Patrick Solé, Alexis Bonnecaze, Hatoon Shoaib, Adel Alahmadi

Publikováno v: Proyecciones : Revista de Matemática
Proyecciones : Revista de Matemática, In press
Proyecciones (Antofagasta) v.39 n.4 2020
SciELO Chile
CONICYT Chile
instacron:CONICYT
Proyecciones : Revista de Matemática, Universidad Católica del Norte, In press

There is a local ring H of order 4, without identity for the multiplication, defined by generators and relations as H =〈a, b | 2a = 2b = 0, a 2 = 0, b 2 = b, ab = ba = 0〉. We classify self orthogonal codes of length n and size 2 n (called here qu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60184b8cd3ef5ecd4665f69d11ec8104
https://doi.org/10.22199/issn.0717-6279-2020-04-0060

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Type IV codes over a non-unital ring

Autor: Alaa Altassan, Hatoon Shoaib, Widyan Basaffar, Adel Alahmadi, Patrick Solé, Alexis Bonnecaze

Publikováno v: Journal of Algebra and Its Applications
Journal of Algebra and Its Applications, World Scientific Publishing, 2021
Journal of Algebra and Its Applications, 2021
Journal of Algebra and Its Applications, World Scientific Publishing, 2021, ⟨10.1142/S0219498822501420⟩

There is a special local ring [Formula: see text] of order [Formula: see text] without identity for the multiplication, defined by [Formula: see text] We study the algebraic structure of linear codes over that non-commutative local ring, in particula

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e18c8a49c76eabe5a7f26c912e9d6aa9
https://hal.archives-ouvertes.fr/hal-02433480/document

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Quasi type IV codes over a non-unital ring

Autor: Alexis Bonnecaze, Alaa Altassan, Widyan Basaffar, Patrick Solé, Hatoon Shoaib, Adel Alahmadi

Publikováno v: Applicable Algebra in Engineering, Communication and Computing
Applicable Algebra in Engineering, Communication and Computing, Springer Verlag, 2021, ⟨10.1007/s00200-021-00488-6⟩
Applicable Algebra in Engineering, Communication and Computing, 2021

There is a local ring I of order 4, without identity for the multiplication, defined by generators and relations as $$\begin{aligned} I=\langle a,b \mid 2a=2b=0,\, a^{2}=b,\, \,ab=0 \rangle . \end{aligned}$$ We give a natural map between linear codes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9815d43d4408c51bcafd492fb827b7b
https://hal.archives-ouvertes.fr/hal-03173734/file/Quasi_type_IV_codes_over_a_non-unital_ring.pdf

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Quasi self-dual codes over non-unital rings of order six

Autor: Patrick Solé, Alexis Bonnecaze, Alaa Altassan, Amani Alkathiry, Hatoon Shoaib, Adel Alahmadi, Widyan Basaffar

Publikováno v: Proyecciones (Antofagasta) v.39 n.4 2020
SciELO Chile
CONICYT Chile
instacron:CONICYT
Proyecciones : Revista de Matemática
Proyecciones : Revista de Matemática, Universidad Católica del Norte, 2020
Proyecciones : Revista de Matemática, 2020

International audience; There exist two semi-local rings of order 6 without identity for the multiplication. We classify up to coordinate permutation self-orthogonal codes of length n and size 6 n/2 over these rings (called here quasi self-dual codes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::734bb881167cc9d2e03310dff9614db1
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000401083

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