The Barnes-Wall lattice is a d-dimensional lattice that exists when d is a power of 2. It is implemented in the Wolfram Language as LatticeData[{BarnesWall, n}]. Special cases are summarized in the following table. d | lattice 2 | square lattice Z^2 4 | root lattice D_4 8 | root lattice E_8 16 | laminated lattice L_(16, 1)

Coxeter-Todd lattice | lattice point | Leech lattice