The Optimal Isodual Lattice Quantizer in Three Dimensions

Details The Optimal Isodual Lattice Quantizer in Three Dimensions The Optimal Isodual Lattice Quantizer in Three Dimensions

2007-01-03

arxiv.org/abs/math/0701080v1

Mathematics

Number Theory

5 pages

Scientific paper

The mean-centered cuboidal (or m.c.c.) lattice is known to be the optimal
packing and covering among all isodual three-dimensional lattices. In this note
we show that it is also the best quantizer. It thus joins the isodual lattices
Z, A_2 and (presumably) D_4, E_8 and the Leech lattice in being simultaneously
optimal with respect to all three criteria.

Affiliated with

Also associated with

No associations

Rating

The Optimal Isodual Lattice Quantizer in Three Dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Optimal Isodual Lattice Quantizer in Three Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Optimal Isodual Lattice Quantizer in Three Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-563947