Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11H31, 11H50

Retrieve articles in all journals with MSC: 11H31, 11H50

Additional Information

PII: S 0025-5718(1985)0790654-2
Article copyright: © Copyright 1985 American Mathematical Society