APPLICATION OF CONSTACYCLIC CODES OVER THE SEMI LOCAL RING F-pm + vF(pm)
Abstract
In this paper, we study the quantum codes over , which are obtained from (lambda(1) + lambda(2))-constacyclic codes over the semi local ring , where v(2) = 1, p is odd prime. We decompose a (lambda(1) + lambda(2))-constacyclic code over into two constacyclic codes over such as (lambda(1) + lambda(2))-constacyclic and (lambda(1)-lambda(2))-constacyclic. We give the necessary and sufficient condition that the (lambda(1) + v lambda(2))-constacyclic codes over contain their duals. We give some examples of non binary quantum codes.