Codes Generated by Special Matrices on $ \mathbb{F}_2[u]/<u^3> $

Abstract

In this study, the results obtained by authors M. Ozkan and F. Oke [2] is extended the ring $ \mathbb{F}_2[u]/<u^3> $. Certain matrices lexicographically ordered are written using the elements of $ \mathbb{F}_2[u]/<u^3> $. The relations between the codes generated by these matrices and Hadamard codes are given.