Algebraic Coding 1993: Algebraic Coding pp 225-235 | Cite as

Quantizing and decoding for usual lattices in the Lp-metric

  • P. Loyer
  • P. Solé
Sphere Packings and Lattices
Part of the Lecture Notes in Computer Science book series (LNCS, volume 781)


We generalize the Conway-Sloane algorithm for the decoding of usual lattices to the L p norm. In particular, the Voronoi diagrams and covering radii of some of these lattices, namely ℤn, Dn, D n * An, are computed. Some of the results hold only for the L1-metric.


Close Point Voronoi Diagram Voronoi Cell Integer Point Covering Radius 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • P. Loyer
    • 1
  • P. Solé
    • 1
  1. 1.ValbonneFrance

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