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Interference is usually viewed as an obstacle to communication in wireless networks, so we develop a new methodology to quantize the channel coefficients in order to realize interference alignment onto a lattice and our channel model is the same as the compute-And-forward strategy. In this new methodology, we describe a way to find a doubly infinite nested lattice partition chain for any dimension n = 2r-2, where r ≥ 3, and, for that, we make use of the binary cyclotomic field Q(ϵe2r ), with r ≥ 3. Thus, for the complex case, we develop the generalization to obtain such doubly infinite nested lattice partition chains in order to realize interference alignment onto a lattice. This new methodology used to solve the problem is original and can contributes greatly to the area, that is, it can be very useful in future developments.

Faculdade de Engenharia Eĺetrica E de Computacao (FEEC) Universidade Estadual de Campinas (UNICAMP)

Department of Communications and Eletronics Teĺecom ParisTech, Cedex 13

Departamento de Mateḿatica Universidade Estadual Paulista (UNESP)

Curso de Engenharia de Telecomunicaç Oes Universidade Estadual Paulista (UNESP), Sao Joao da Boa Vista

Departamento de Mateḿatica Universidade Estadual Paulista (UNESP)

Curso de Engenharia de Telecomunicaç Oes Universidade Estadual Paulista (UNESP), Sao Joao da Boa Vista