Bases of minimal vectors in lattices, III
classification
🧮 math.NT
math.MG
keywords
minimalvectorslatticesbasesbasiscasecounterexampledimension
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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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