2025-02-22T17:55:21-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22oai%3Aojs.admjournal.luguniv.edu.ua%3Aarticle-2241%22&qt=morelikethis&rows=5
2025-02-22T17:55:21-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22oai%3Aojs.admjournal.luguniv.edu.ua%3Aarticle-2241%22&qt=morelikethis&rows=5
2025-02-22T17:55:21-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-22T17:55:21-05:00 DEBUG: Deserialized SOLR response
Extended binary Golay codes by a group algebra

Extended binary Golay codes by a group algebra

We study the construction of extended binary Golay codes with respect to the principle (left) ideals of the group algebra \(\mathbb{F}_2G\) of a group \(G\) of order 24 over a field of two elements \(\mathbb{F}_2\). All elements of \(v\in \mathbb{F}_2G\), which generate the principle ideals that def...

Full description

Saved in:
Bibliographic Details
Main Authors: Bortos, Maria Yu., Tylyshchak, Alexander A., Khymynets, Myroslava V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
group algebra
extended binary codes
Golay codes
self-dual codes
codes over fields
22D20
94B05
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2241
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the construction of extended binary Golay codes with respect to the principle (left) ideals of the group algebra \(\mathbb{F}_2G\) of a group \(G\) of order 24 over a field of two elements \(\mathbb{F}_2\). All elements of \(v\in \mathbb{F}_2G\), which generate the principle ideals that define extended binary Golay codes, have been found programmatically.

Similar Items