Construction of some unimodular lattices with long shadow

Details Construction of some unimodular lattices with long shadow Construction of some unimodular lattices with long shadow

2011-03-29

arxiv.org/abs/1103.5519v1

Mathematics

Combinatorics

17 pages, to appear in Int. J. Number Theory

Scientific paper

In this paper, we construct odd unimodular lattices in dimensions n=36,37
having minimum norm 3 and 4s=n-16, where s is the minimum norm of the shadow.
We also construct odd unimodular lattices in dimensions n=41,43,44 having
minimum norm 4 and 4s=n-24.

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