A Relation between Hadamard Codes and Some Special Codes over F2+uF2

Authors

Mustafa ?ZKAN, Department of Mathematics, Faculty of Science, Trakya University, Edirne, TurkeyFollow
Figen ?KE, Department of Mathematics, Faculty of Science, Trakya University, Edirne, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

A Hadamard code which is written via a Hadamard matrix is (2n,4n,n) code. In this study some special codes over F2+uF2 = {0, 1, u, 1+u} where u2 = 0 are written and it is shown that images of these codes under a Gray map correspond binary Hadamard codes.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100229

Recommended Citation

?ZKAN, Mustafa and ?KE, Figen (2016) "A Relation between Hadamard Codes and Some Special Codes over F2+uF2," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 29.
DOI: http://dx.doi.org/10.18576/amis/100229
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/29