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Dense lattices in dimensions 27-29 - MaRDI portal

Dense lattices in dimensions 27-29 (Q1365862)

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scientific article; zbMATH DE number 1058849
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Dense lattices in dimensions 27-29
scientific article; zbMATH DE number 1058849

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    Dense lattices in dimensions 27-29 (English)
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    9 September 1997
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    Lamination of the unique even integral lattice of determinant 3 and minimum 4 in dimension 26 yields lattices of center density \(1/ \sqrt 3\) in dimension 27 and 2/3 in dimension 28. These lattices are hence denser than the laminated lattices of Conway-Sloane of the same dimensions. A similar construction yields also a 29-dimensional lattice of center density \(1/ \sqrt 3\).
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    laminated lattices
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    center density
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