Linear intersection pairs of negacyclic codes and their applications in construction of entanglement-assisted quantum error-correcting codes

Abstract Linear intersection pairs of linear codes have become of interest and continuously studied due to their nice algebraic properties and wide applications. In this article, we focus on linear intersection pairs of negacyclic codes over finite fields and their applications. General characterization and algebraic properties of such pairs are given in terms of their generator polynomials. For s∈0, 1, explicit constructions of linear s-intersection pairs and linear s-complementary pairs of negacyclic codes are presented. As applications, constructions of entanglement-assisted quantum error-correcting codes are discussed together with illustrative examples.