The highest possible minimal norm of a unimodular lattice is determined in dimensionsn≤33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8.1020in dimension 33). Unimodular lattices with no roots exist if and only ifn≥23,n≠25. © 1998 Academic Press.
CITATION STYLE
Conway, J. H., & Sloane, N. J. A. (1998). A Note on Optimal Unimodular Lattices. Journal of Number Theory, 72(2), 357–362. https://doi.org/10.1006/jnth.1998.2257
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