Abstract

Methods for computing integral laminated lattices with prescribed minimum are developed. Laminating is a process of stacking layers of an ( n − 1 ) (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 m = 3 all such lattices are determined.

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