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)

Section

Nonlinear Analysis

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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