An Optimal Odd Unimodular Lattice in Dimension 72

Details An Optimal Odd Unimodular Lattice in Dimension 72 An Optimal Odd Unimodular Lattice in Dimension 72

2011-08-22

arxiv.org/abs/1108.4262v3

Mathematics

Combinatorics

5 pages

Scientific paper

It is shown that if there is an extremal even unimodular lattice in dimension
72, then there is an optimal odd unimodular lattice in that dimension. Hence,
the first example of an optimal odd unimodular lattice in dimension 72 is
constructed from the extremal even unimodular lattice which has been recently
found by G. Nebe.

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