The genus of the Barnes-Wall lattice
Rudolf Scharlau, Boris Venkov · Commentarii Mathematici Helvetici · 1994
this paper, we combine the general concept of the root system of a Euclidean lattice as studied in [B-S] with the "main lemma" Proposition 1 of [Ve] to obtain the full classification of all 2-elementary totally even 16-dimensional lattices of determinant 2