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A lattice which can be constructed from the Leech Lattice 
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See also Coxeter-Todd Lattice, Lattice Point, Leech Lattice
References
Barnes, E. S. and Wall, G. E.  ``Some Extreme Forms Defined in Terms of Abelian Groups.''  J. Austral. Math. Soc. 1,
  47-63, 1959.
 
Conway, J. H. and Sloane, N. J. A.  ``The 16-Dimensional Barnes-Wall Lattice  
.''
  §4.10 in Sphere Packings, Lattices, and Groups, 2nd ed.
  New York: Springer-Verlag, pp. 127-129, 1993.