Volume 2 - Issue 1 (2) | PP: 17 - 24
Language : English
DOI : https://doi.org/DOI:10.31559/glm2016.2.1.2
DOI : https://doi.org/DOI:10.31559/glm2016.2.1.2
807
63
Repeat Codes, Even Codes, Odd Codes and Their Equivalence
| Received Date | Revised Date | Accepted Date | Publication Date |
| 8/12/2016 | 14/1/2017 | 18/2/2017 | 27/2/2017 |
Abstract
Codes over the chain ring are obtained by writing special matrices. Gray images of these codes are binary codes. It is shown that first repeat code, second repeat code, even code and odd code are either equivalent or equal to these codes. The definitions of direct sum and direct product of these codes were given. Moreover dual codes were classed. Self dual codes and self orthogonal codes were established.
Keywords: Codes over rings, Lee distance, Even codes, Odd codes, Dual codes
How To Cite This Article
Özkan , M. & Öke , F. (2017). Repeat Codes, Even Codes, Odd Codes and Their Equivalence . General Letters in Mathematics, 2 (1), 17-24, DOI:10.31559/glm2016.2.1.2
Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.