On the sublattices of the Barnes-wall lattice

This paper is connected with the fundamental work of E.S. Barnes and G.E. Wall [1] in which the authors defined the so-called Barnes-Wall lattice. We shall determine the number of minima of some special sublattices of dimension 2ⁿ–k of this lattice, where 1kn.Supported by Hung. Nat. Found for Sci. Research (OTKA) grant no. 1615 (1992)