J Austral Math Soc Ser A 50 pp373--383, 1991.

The Dual Lattice of an Extreme Six-Dimensional Lattice

David Coulson

(Received 1 August 1989; revised 16 March 1990)

Abstract

The best lattice quantizers seem to be duals of extreme lattices. The quantizing constant associated with the dual lattice of Barnes's senary from f₆ 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.

1980 AMS Subject Classification (1985 Revision): 11H06, 11H55

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Authors

David Coulson: Monash University, Clayton, Victoria 3168, Australia.

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Last Modified: Mon Feb 3 9:46:09 2003