Two Dimensional ( α,β)-Constacyclic Codes of arbitrary length over a Finite Field

07/29/2020

∙

by   Swati Bhardwaj, et al.

∙

0

∙

share

In this paper we characterize the algebraic structure of two-dimensional (α,β )-constacyclic codes of arbitrary length s.ℓ and of their duals. For α,β∈{1,-1}, we give necessary and sufficient conditions for a two-dimensional (α,β )-constacyclic code to be self-dual. We also show that a two-dimensional (α,1 )-constacyclic code 𝒞 of length n=s.ℓ can not be self-dual if (s,q)= 1. Finally, we give some examples of self-dual, isodual, MDS and quasi-twisted codes corresponding to two-dimensional (α,β )-constacyclic codes.