Barnes-Wall lattices for the symmetric interference channel

In this paper we study the performance of Barnes-Wall lattices in a symmetric interference channel, under different types of interference. We are inspired by the work of Jafar [1], in which a scheme is proposed for each type of interference, using a base Q expression for the transmitted signals. This is similar to the multilevel structure of Barnes-Wall lattices. With the advantage of their good performance and the extension in bigger dimensions that using lattices implies, we propose to use Barnes-Wall lattices to improve the performance of each user, under lattice alignment in a symmetric interference channel.