A Relation between Hadamard Codes and Some Special Codes over F2 +uF2 Page 1 Appl.
Math. Inf. Sci. 10, No. 2, 701-704 (2016) 701 Applied Mathematics & Information Sciences An …

In this paper the ring F< sub> 2[u, v]/< sub> &lt; u³, v², uv &gt; where u³= 0, v²= 0, uv= vu= 0 is
defined and (1+ v)-constacyclic codes over this ring are studied. It is shown that the Gray …

It is studied codes over the ring R= F2+ uF2+ vF2, Â u^ 2= 0, v^ 2= v, uv= vu= 0 which
contains the two ring F2+ uF2, u^ 2= 0 and F2+ vF2, v^ 2= v. It is introduced (1+ u)-cyclic …

In this paper the structure of the ring F3 [u, v]/< u3, v2, uv> where u3= 0, v2= 0 and uv= vu= 0
is described. The distance function on the ring R= F3+ vF3+ uF3+ u2 F3 which is isomorphic …

Let R_ k R k denote the polynomial residue ring F_ 2^ mu/⟨ u^ k ⟩ F 2 mu/⟨ uk⟩, where 2^ j-
1+ 1 ≤ k ≤ 2^ j 2 j-1+ 1≤ k≤ 2 j for some positive integer j j. Motivated by the work in 1, we …

We study the Gray images of three types of skew constacyclic codes over gif. latex?\mathbb
{F} _ {p^ m} &space;+ &space; u\mathbb {F} _ {p^ m} &space;+ &space;\cdots&space;+ …

We define a new map between codes over Fp+ uFp+ u2Fp and Fp which is different to that
defined in [2]. It is proved that the image of the linear cyclic code over the commutative ring …

We introduced v-cyclic and cyclic codes over the ring F3+ vF3 where v2= 1, F3={0, 1, 2}. It is
proved that the Gray image of the linear v-cyclic code over the commutative ring F3+ vF3 of …

Constacyclic codes are an important class of linear codes in coding theory. Many optimal
linear codes are directly derived from constacyclic codes. In this paper, a new Gray map …

On Gray Images of Constacyclic Codes Page 1 On Gray Images of Constacyclic Codes Mustafa
Özkan1,*, Figen Öke2 1Department of Mathematics, University of Trakya, Edirne, Turkey …