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Published in: Journal of Applied Mathematics and Computing 1-2/2018

23-05-2017 | Original Research

Mass formula for self-dual codes over \(\varvec{\mathbb {F}}_q+u\varvec{\mathbb {F}}_q+u^2\varvec{\mathbb {F}}_q\)

Authors: Rowena Alma Betty, Fidel Nemenzo, Trilbe Lizann Vasquez

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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Abstract

In this paper, we establish a mass formula for self-dual codes over the finite chain ring \(\mathbb {F}_q+u\mathbb {F}_q+u^2\mathbb {F}_q\), where \(\mathbb {F}_q\) is the finite field of order q and \(u^3=0\). We also give a classification of self-dual codes over \(\mathbb {F}_q+u\mathbb {F}_q+u^2\mathbb {F}_q\), for \(q=2,3,4,5,7,8,9\), with lengths 2 and 4.

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Literature
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Metadata
Title
Mass formula for self-dual codes over
Authors
Rowena Alma Betty
Fidel Nemenzo
Trilbe Lizann Vasquez
Publication date
23-05-2017
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-017-1117-0

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