SOME APPLICATIONS OF HOMOGENEOUS WEIGHTIN LINEAR CODES OVER Rps,θ

Authors

  • O. HADDOUCHE Laboratory of Applications of Mathematics in Computer Science and Electronics Faculty of Economic, Commercial and Management Sciences University of Batna 1, Batna, Algeria. Author
  • K. Chatouh Laboratory of Applications of Mathematics in Computer Science and Electronics Faculty of Economic, Commercial and Management Sciences University of Batna 1, Batna, Algeria. Author
  • H. Zekraoui Department of Mathematics Faculty of Exact Sciences and SENV Lab. of Mathematics (Dynamical Systems and Control) University of Oum El Bouaghi Oum El Bouaghi, Algeria. Author

Keywords:

Gray map, homogeneous weight, covering radius, LCD simplex codes

Abstract

Our contribution to this work is summarized in the following points: We present a few preliminary results for the Frobenius ring Rps,θ, and linear codes over this ring. We define the homogeneous weight and its Gray map. Throughout this study, we carried out a new construction of simplex and MacDonald codes of type α over Rps,θ.Finally, the last construction combines the previous results to construct LCD codes over Rps,θ.

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Published

2026-02-10

Issue

Vol. 44 No. 1 (2026): JAMI

Section

Articles

License

Copyright (c) 2026 Journal of Applied Mathematics and Informatics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.