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The dual lattice of an extreme six-dimensional lattice

Published online by Cambridge University Press:  09 April 2009

David Coulson
Affiliation:
Monash University Clayton, Victoria 3168, Australia
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Abstract

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The best lattice quantizers seem to be duals of extreme lattices. The quantizing constant associated with the dual lattice of Barnes's senary form φ6 is found, together with a new type of quantizing technique. The quantizing constant is better than expected in the sense that it is better than D*6 even though D6 provides a denser packing. This is the smallest dimension for which this occurs.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

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