On extremal even unimodular 72-dimensional lattices
نویسندگان
چکیده
By computer search we show that the lattice Γ from [9] is the unique extremal even unimodular 72-dimensional lattices that can be constructed as proposed in [6].
منابع مشابه
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The automorphism groups of the three known extremal even unimodular lattices of dimension 48 and the one of dimension 72 are determined using the classification of finite simple groups. Restrictions on the possible automorphisms of 48-dimensional extremal lattices are obtained. We classify all extremal lattices of dimension 48 having an automorphism of order m with φ(m) > 24. In particular the ...
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ورودعنوان ژورنال:
- Math. Comput.
دوره 83 شماره
صفحات -
تاریخ انتشار 2014