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An optimal unimodular lattice in dimension 39 - MaRDI portal

An optimal unimodular lattice in dimension 39 (Q1806219)

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scientific article; zbMATH DE number 1356439
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An optimal unimodular lattice in dimension 39
scientific article; zbMATH DE number 1356439

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    An optimal unimodular lattice in dimension 39 (English)
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    20 December 1999
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    By random search a self-dual \(\mathbb{Z}_4\)-code of length 39 with minimum Euclidean weight 39 was found. With construction \(A_4\) this code leads to a 39-dimensional unimodular lattice with minimum weight 4 which is optimal for this dimension.
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    unimodular lattices
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    self-dual code over \(\mathbb{Z}_4\)
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