A Note on Optimal Unimodular Lattices

Details A Note on Optimal Unimodular Lattices A Note on Optimal Unimodular Lattices

2002-07-31

arxiv.org/abs/math/0207292v1

J. Number Theory, 72 (1998), 357-362

Mathematics

Combinatorics

8 pages

Scientific paper

The highest possible minimal norm of a unimodular lattice is determined in
dimensions n <= 33. There are precisely five odd 32-dimensional lattices with
the highest possible minimal norm (compared with more than 8*10^20 in dimension
33). Unimodular lattices with no roots exist if and only if n >= 23, n not =
25.

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