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

Abstract: 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 or QSD) till the length n = 8. To any such code is attached ca...

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Autores principales:	Alahmadi,Adel, Alkathiry,Amani, Altassan,Alaa, Basaffar,Widyan, Bonnecaze,Alexis, Shoaib,Hatoon, Solé,Patrick
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Non-unital rings Semi-local rings Self-orthogonal codes Unimodular lattices
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000401083
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spelling	oai:scielo:S0716-091720200004010832020-08-13Quasi self-dual codes over non-unital rings of order sixAlahmadi,AdelAlkathiry,AmaniAltassan,AlaaBasaffar,WidyanBonnecaze,AlexisShoaib,HatoonSolé,Patrick Non-unital rings Semi-local rings Self-orthogonal codes Unimodular lattices Abstract: 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 or QSD) till the length n = 8. To any such code is attached canonically a ℤ 6 -code, which, when self-dual, produces an unimodular lattice by Construction A.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.4 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000401083en10.22199/issn.0717-6279-2020-04-0066
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Non-unital rings Semi-local rings Self-orthogonal codes Unimodular lattices
spellingShingle	Non-unital rings Semi-local rings Self-orthogonal codes Unimodular lattices Alahmadi,Adel Alkathiry,Amani Altassan,Alaa Basaffar,Widyan Bonnecaze,Alexis Shoaib,Hatoon Solé,Patrick Quasi self-dual codes over non-unital rings of order six
description	Abstract: 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 or QSD) till the length n = 8. To any such code is attached canonically a ℤ 6 -code, which, when self-dual, produces an unimodular lattice by Construction A.
author	Alahmadi,Adel Alkathiry,Amani Altassan,Alaa Basaffar,Widyan Bonnecaze,Alexis Shoaib,Hatoon Solé,Patrick
author_facet	Alahmadi,Adel Alkathiry,Amani Altassan,Alaa Basaffar,Widyan Bonnecaze,Alexis Shoaib,Hatoon Solé,Patrick
author_sort	Alahmadi,Adel
title	Quasi self-dual codes over non-unital rings of order six
title_short	Quasi self-dual codes over non-unital rings of order six
title_full	Quasi self-dual codes over non-unital rings of order six
title_fullStr	Quasi self-dual codes over non-unital rings of order six
title_full_unstemmed	Quasi self-dual codes over non-unital rings of order six
title_sort	quasi self-dual codes over non-unital rings of order six
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000401083
work_keys_str_mv	AT alahmadiadel quasiselfdualcodesovernonunitalringsofordersix AT alkathiryamani quasiselfdualcodesovernonunitalringsofordersix AT altassanalaa quasiselfdualcodesovernonunitalringsofordersix AT basaffarwidyan quasiselfdualcodesovernonunitalringsofordersix AT bonnecazealexis quasiselfdualcodesovernonunitalringsofordersix AT shoaibhatoon quasiselfdualcodesovernonunitalringsofordersix AT solepatrick quasiselfdualcodesovernonunitalringsofordersix
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Quasi self-dual codes over non-unital rings of order six

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