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Periodica Mathematica Hungarica

, Volume 31, Issue 2, pp 131–138 | Cite as

On the sublattices of the Barnes-wall lattice

  • Ákos G. Horváth
Article
  • 22 Downloads

Abstract

This paper is connected with the fundamental work of E.S. Barnes and G.E. Wall [1] in which the authors defined the so-called Barnes-Wall lattice. We shall determine the number of minima of some special sublattices of dimension 2 n k of this lattice, where 1≤kn.

Mathematics subject classification numbers

1991. Primary 11H50 Secondary 52C07 

Key words and phrases

n-lattice minimum vector 

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References

  1. [1]
    E. S. Barnes andG. E. Wall, Some extreme forms defined in terms of Abelian groups,Journal of the Australian Math. Soc. (1959), 47–63.Google Scholar
  2. [2]
    J. M. Conway andN. J. A. Sloane,Sphere Packings, Lattices and Groups, Springer-Verlag (1988).Google Scholar
  3. [3]
    Á. G. Horváth, On the number of the minima ofN-lattices.Conference on Intuitive Geometry, Szeged, (1991) (to appear)Google Scholar
  4. [4]
    Á. G. Horváth, Codes and lattices.Periodica Polytechnica Hungarica (to appear)Google Scholar
  5. [5]
    J. Leech, Some sphere packings in higher space.Canadian J. Math. 16 (1964).Google Scholar

Copyright information

© Akadémiai Kiadó 1995

Authors and Affiliations

  • Ákos G. Horváth
    • 1
  1. 1.Department of GeometryTechnical University of BudapestBudapestHungary

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