Mass Formula for Self-Dual Codes over Galois Rings GR(p3, r)
DOI:
https://doi.org/10.29020/nybg.ejpam.v12i4.3565Keywords:
mass formula, self-dual codes, finite ring, Galois ring, classificationAbstract
Let p be an odd prime and r a positive integer. Let GR(p3, r) be the Galois ring of characteristic p3 and cardinality p3r. In this paper, we investigate the self-dual codes over GR(p3, r) and give a method to construct self-dual codes over this ring. We establish a mass formula for self-dual codes over GR(p3, r) and classify self-dual codes over GR(p3, 2) of length 4 for p = 3, 5.
Downloads
Published
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.