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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Constructing integral lattices with prescribed minimum. I


Authors: W. Plesken and M. Pohst
Journal: Math. Comp. 45 (1985), 209-221, S5
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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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1985-0790654-2
PII: S 0025-5718(1985)0790654-2
Article copyright: © Copyright 1985 American Mathematical Society