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Semisimple group codes and dihedral codes

Semisimple group codes and dihedral codes

We consider codes that are given as two-sided ideals in a semisimple finite group algebra \({\mathbb F}_q G\)  defined by idempotents constructed from subgroups of \(G\) in a natural way and compute their dimensions and weights. We give a criterion to decide when these ideals are all the minimal two...

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Bibliographic Details
Main Authors: Dutra, Flaviana S., Ferraz, Raul A., Milies, C. Polcino
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
group code
minimal code
group algebra
idempotent
dihedral group
quaternion group
94B15
94B60
16S34
20C05
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/785
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https://admjournal.luguniv.edu.ua/index.php/adm/article/view/785

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