The Barnes-Wall lattice is a specific type of lattice that is notable in the context of lattice theory and certain applications in crystallography and materials science. It is particularly recognized for its high degree of symmetry and regularity, which makes it an interesting object of study in the field of discrete geometry. More specifically, the Barnes-Wall lattice can be described as the set of points in Euclidean space that can be generated from a highly symmetric arrangement of vectors.
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