Constructing integral lattices with prescribed minimum. I

Plesken, W.; Pohst, M.

doi:10.1090/S0025-5718-1985-0790654-2

Constructing integral lattices with prescribed minimum. I
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by W. Plesken and M. Pohst PDF

Math. Comp. 45 (1985), 209-221 Request permission

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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ACM Sigsam Bull.

Eine Methode zur Berechnung der Automorphismengruppe einer endlichen Gruppe