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

Abstract: 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 quasi self-dual codes o...

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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 Type IV codes Modular lattices
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400963
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spelling	oai:scielo:S0716-091720200004009632020-08-13Type IV codes over a non-local non-unital ringAlahmadi,AdelAlkathiry,AmaniAltassan,AlaaBasaffar,WidyanBonnecaze,AlexisShoaib,HatoonSolé,Patrick Non-unital rings Semi-local rings Self-orthogonal codes Type IV codes Modular lattices Abstract: 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 quasi self-dual codes or QSD) up to the length n = 6. In particular, we classify quasi Type IV codes (a subclass of Type IV codes, viz QSD codes with even weights) up to n = 6.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=S0716-09172020000400963en10.22199/issn.0717-6279-2020-04-0060
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Non-unital rings Semi-local rings Self-orthogonal codes Type IV codes Modular lattices
spellingShingle	Non-unital rings Semi-local rings Self-orthogonal codes Type IV codes Modular lattices Alahmadi,Adel Alkathiry,Amani Altassan,Alaa Basaffar,Widyan Bonnecaze,Alexis Shoaib,Hatoon Solé,Patrick Type IV codes over a non-local non-unital ring
description	Abstract: 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 quasi self-dual codes or QSD) up to the length n = 6. In particular, we classify quasi Type IV codes (a subclass of Type IV codes, viz QSD codes with even weights) up to n = 6.
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	Type IV codes over a non-local non-unital ring
title_short	Type IV codes over a non-local non-unital ring
title_full	Type IV codes over a non-local non-unital ring
title_fullStr	Type IV codes over a non-local non-unital ring
title_full_unstemmed	Type IV codes over a non-local non-unital ring
title_sort	type iv codes over a non-local non-unital ring
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400963
work_keys_str_mv	AT alahmadiadel typeivcodesoveranonlocalnonunitalring AT alkathiryamani typeivcodesoveranonlocalnonunitalring AT altassanalaa typeivcodesoveranonlocalnonunitalring AT basaffarwidyan typeivcodesoveranonlocalnonunitalring AT bonnecazealexis typeivcodesoveranonlocalnonunitalring AT shoaibhatoon typeivcodesoveranonlocalnonunitalring AT solepatrick typeivcodesoveranonlocalnonunitalring
_version_	1718439879071760384

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

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