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Mathematics of Computation

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Constructing integral lattices with prescribed minimum. I

Authors: W. Plesken and M. Pohst
Journal: Math. Comp. 45 (1985), 209-221
MSC: Primary 11H31; Secondary 11H50
MathSciNet review: 790654
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Abstract: Methods for computing integral laminated lattices with prescribed minimum are developed. Laminating is a process of stacking layers of an $(n - 1)$-dimensional lattice as densely as possible to obtain an n-dimensional lattice. Our side conditions are: All scalar products of lattice vectors are rational integers, and all lattices are generated by vectors of prescribed minimum (square) length m. For $m = 3$ all such lattices are determined.

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Article copyright: © Copyright 1985 American Mathematical Society