Mass Formula for Self-Dual Codes over Galois Rings GR(p3, r)

Authors

  • Trilbe Lizann Espina Vasquez Mindanao State University - Iligan Institute of Technology
  • Gaudencio Jr. Cempron Petalcorin Mindanao State University - Iligan Institute of Technology

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3565

Keywords:

mass formula, self-dual codes, finite ring, Galois ring, classification

Abstract

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.

Author Biographies

  • Trilbe Lizann Espina Vasquez, Mindanao State University - Iligan Institute of Technology

    Department of Mathematics and Statistics, College of Science and Mathematics

  • Gaudencio Jr. Cempron Petalcorin, Mindanao State University - Iligan Institute of Technology
    Professor, Department of Mathematics and Statistics, College of Science and Mathematics

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Published

2019-10-31

Issue

Vol. 12 No. 4: (October 2019)

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.

How to Cite

Mass Formula for Self-Dual Codes over Galois Rings GR(p3, r). (2019). European Journal of Pure and Applied Mathematics, 12(4), 1701-1716. https://doi.org/10.29020/nybg.ejpam.v12i4.3565