DeepAI AI Chat
Log In Sign Up

Skew-constacyclic codes over F_q[v]/〈 v^q-v 〉

by   Joël Kabore, et al.
University of Victoria

In this paper, the investigation on the algebraic structure of the ring F_q[v]/〈 v^q-v 〉 and the description of its automorphism group, enable to study the algebraic structure of codes and their dual over this ring. We explore the algebraic structure of skew-constacyclic codes, by using a linear Gray map and we determine their generator polynomials. Necessary and sufficient conditions for the existence of self-dual skew cyclic and self-dual skew negacyclic codes over F_q[v]/〈 v^q-v 〉 are given.


page 1

page 2

page 3

page 4


Self-dual cyclic codes over M_2(Z_4)

In this paper, we study the codes over the matrix ring over Z_4, which i...

σ-self-orthogonal constacyclic codes of length p^s over F_p^m+u F_p^m

In this paper, we study the σ-self-orthogonality of constacyclic codes o...

On the algebraic structure of quasi group codes

In this note, an intrinsic description of some families of linear codes ...

The dual of an evaluation code

The aim of this work is to study the dual and the algebraic dual of an e...

Fourier-Reflexive Partitions and Group of Linear Isometries with Respect to Weighted Poset Metric

Let 𝐇 be the cartesian product of a family of abelian groups indexed by ...

On the Complexity of Polytopes in LI(2)

In this paper we consider polytopes given by systems of n inequalities i...