Quantum codes obtained through (1+(p−2)ν)-constacyclic codes over Zp+νZp

Abstract

This paper is concerned with, structural properties and construction of quantum codes over Z p by using (1+(p−2)ν)-Constacyclic codes over the finite commutative non-chain ring ℜ = Z p +νZ p where ν 2 = ν and Z p is field having p elements with characteristic p where p is prime. A Gray map is defined between ℜ and Z p 2 . The parameters of quantum codes over Z p are obtained by decomposing (1+(p−2)ν)-constacyclic codes into cyclic and negacyclic codes over Z p . As an application, some examples of quantum codes of arbitrary length, are also obtained.