Repeat Codes, Even Codes, Odd Codes and Their Equivalence

Volume 2, Issue 1, Article 2 - 2017

Authors: Mustafa Özkan;Figen Öke

Copyright © 2017 . 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.

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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.

How To Cite This Article

@article{_zkan_2017, doi = {10.31559/glm2016.2.1.2}, url = {https://doi.org/10.31559%2Fglm2016.2.1.2}, year = 2017, month = {jan}, publisher = {Refaad for Studies and Research}, volume = {2}, number = {1}, author = {Mustafa Özkan and Figen Öke}, title = {Repeat Codes, Even Codes, Odd Codes and Their Equivalence}, journal = {General Letters in Mathematics} }
Özkan, M., & Öke, F. (2017). Repeat Codes, Even Codes, Odd Codes and Their Equivalence. General Letters in Mathematics, 2(1). doi:10.31559/glm2016.2.1.2
[1]M. Özkan and F. Öke, “Repeat Codes, Even Codes, Odd Codes and Their Equivalence,” General Letters in Mathematics, vol. 2, no. 1, Jan. 2017.
Özkan, Mustafa, and Figen Öke. “Repeat Codes, Even Codes, Odd Codes and Their Equivalence.” General Letters in Mathematics 2, no. 1 (January 1, 2017). doi:10.31559/glm2016.2.1.2.