Bases of minimal vectors in lattices, III

Details Bases of minimal vectors in lattices, III Bases of minimal vectors in lattices, III

2011-05-30

arxiv.org/abs/1105.5889v2

Mathematics

Number Theory

16 pages, contains minor changes suggested by referee

Scientific paper

We prove that all Euclidean lattices of dimension $n\le 9$ which are
generated by their minimal vectors, also possess a basis of minimal vectors. By
providing a new counterexample, we show that this is not the case for all
dimensions $n\ge 10$.

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