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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
Date:	2018
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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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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