Minima of odd unimodular lattices in dimension \(24m\) (Q1612525)
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scientific article; zbMATH DE number 1787788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minima of odd unimodular lattices in dimension \(24m\) |
scientific article; zbMATH DE number 1787788 |
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Minima of odd unimodular lattices in dimension \(24m\) (English)
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25 August 2002
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The following theorem is proved: Suppose that \(L\) is a unimodular \(\mathbb{Z}\)-lattice in dimension \(n=24k\). Suppose further that the minimum \(\mu(L)= 2k+2\). Then \(L\) must be an even lattice. Since Rains and Sloane showed \(\mu(L)\leq 2k+2\), this gives new bounds for odd unimodular lattices in dimension \(24k\).
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unimodular lattices
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minima of lattices
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0.8926566
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0.8918188
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0.8867549
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0.8663129
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0.8658652
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