In this paper, cyclic codes are studied over some finite quaternion integer rings with respect to the quaternion Mannheim distance. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved
AbstractWe investigate negacyclic and cyclic codes of length ps over the finite field Fpa. Negacycli...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
A new bound on the minimum distance of q-ary cyclic codes is proposed. It is based on the descriptio...
u2i; uiuj ujui. In this paper, cyclic codes of arbitrary length n over the ring R2;m are completely...
i, u1u2 − u2u1,..., ukuj − ujuk,...), and Fq[u, v]/ ui, vj, uv − vu, where Fq is a field with q ele-...
AbstractWe extend the results of [J.F. Qian, L.N. Zhang, S.X. Zhu, (1+u)-constacyclic and cyclic cod...
We generalize the notion of cyclic code and we construct codes as ideals in finite quotients of non-...
This thesis concerned with extended cyclic codes. The objective of this thesis is to Give a full des...
Recently, A. Zeh, A. Wachter-Zeh, M. Gadouleau and S. Bezzateev gave a method to obtain new lower bo...
AbstractWe introduce (1+u) constacyclic and cyclic codes over the ring F2+uF2={0,1,u,ū=u+1}, where ...
For any prime p, all constacyclic codes of length ps over the ring ℛ = Fpm + uFpm are considered. Th...
Cyclic codes give us the most probable method by which we may detect and correct data transmission e...
Let R be a Galois ring, GR(pn,r), of characteristic pn and of order pnr. In this article, we study c...
AbstractCyclic codes of odd length over Z4 have been studied by many authors. But what is the form o...
The negashift ν of Z4n is defined as the permeation of Z4n such that ν(a0, a1, ...., ai, ...., an-1)...
AbstractWe investigate negacyclic and cyclic codes of length ps over the finite field Fpa. Negacycli...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
A new bound on the minimum distance of q-ary cyclic codes is proposed. It is based on the descriptio...
u2i; uiuj ujui. In this paper, cyclic codes of arbitrary length n over the ring R2;m are completely...
i, u1u2 − u2u1,..., ukuj − ujuk,...), and Fq[u, v]/ ui, vj, uv − vu, where Fq is a field with q ele-...
AbstractWe extend the results of [J.F. Qian, L.N. Zhang, S.X. Zhu, (1+u)-constacyclic and cyclic cod...
We generalize the notion of cyclic code and we construct codes as ideals in finite quotients of non-...
This thesis concerned with extended cyclic codes. The objective of this thesis is to Give a full des...
Recently, A. Zeh, A. Wachter-Zeh, M. Gadouleau and S. Bezzateev gave a method to obtain new lower bo...
AbstractWe introduce (1+u) constacyclic and cyclic codes over the ring F2+uF2={0,1,u,ū=u+1}, where ...
For any prime p, all constacyclic codes of length ps over the ring ℛ = Fpm + uFpm are considered. Th...
Cyclic codes give us the most probable method by which we may detect and correct data transmission e...
Let R be a Galois ring, GR(pn,r), of characteristic pn and of order pnr. In this article, we study c...
AbstractCyclic codes of odd length over Z4 have been studied by many authors. But what is the form o...
The negashift ν of Z4n is defined as the permeation of Z4n such that ν(a0, a1, ...., ai, ...., an-1)...
AbstractWe investigate negacyclic and cyclic codes of length ps over the finite field Fpa. Negacycli...
It is very well known that algebraic structures have valuable applications in the theory of error-co...
A new bound on the minimum distance of q-ary cyclic codes is proposed. It is based on the descriptio...
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