Výsledky vyhledávání - "Secondary 16 A10"

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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The build-up construction of quasi self-dual codes over a non-unital ring

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

Publikováno v: Journal of Algebra and Its Applications
Journal of Algebra and Its Applications, World Scientific Publishing, 2021, ⟨10.1142/S0219498822501432⟩
Journal of Algebra and Its Applications, 2021, ⟨10.1142/S0219498822501432⟩

There is a local ring [Formula: see text] of order [Formula: see text] without identity for the multiplication, defined by generators and relations as [Formula: see text] We study a recursive construction of self-orthogonal codes over [Formula: see t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0fc37ae3b704cebf220919ba2113d0c
https://hal.archives-ouvertes.fr/hal-03189828/file/A1.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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