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arXiv · 1312.3780

A fourth extremal even unimodular lattice of dimension 48

Gabriele Nebe
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Abstract

We show that there is a unique extremal even unimodular lattice of dimension 48 which has an automorphism of order 5 of type 5-(8,16)-8. Since the three known extremal lattices do not admit such an automorphism, this provides a new example of an extremal even unimodular lattice in dimension 48.

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Gabriele Nebe. 2013-12-13. A fourth extremal even unimodular lattice of dimension 48. https://arxiv.org/abs/1312.3780

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