Cyclic Isodual and Formally Self-dual Codes over F_q+vF_q

Authors

  • Aicha Batoul
  • Kenza Guenda
  • Abidin Kaya
  • Bahattin Yildiz Fatih University

Keywords:

duadic codes, isodual codes, cyclic codes, formally self-dual codes

Abstract

In this paper, we investigate the structure and properties of duadic,
isodual cyclic and formally self-dual codes over the ring R=F_q+vF_q with v^2=v. In addition to the theoretical work on the structure of these codes, we construct examples of good codes over different alphabets from cyclic self-dual and formally self-dual codes over R.

Author Biography

  • Bahattin Yildiz, Fatih University
    Mathematics, Associate Professor

Downloads

Published

2015-01-29

Issue

Vol. 8 No. 1: (January 2015)

Section

Coding Theory and Cryptology

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Cyclic Isodual and Formally Self-dual Codes over F_q+vF_q. (2015). European Journal of Pure and Applied Mathematics, 8(1), 64-80. https://www.ejpam.com/index.php/ejpam/article/view/2245