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The Voronoi region of E*6

Published online by Cambridge University Press:  09 April 2009

R. T. Worley
Affiliation:
Department of MathematicsMonash UniversityClayton, Victoria 3168, Australia
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Abstract

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The Voronoi region and covering radius of the lattice E*6 are determined, and the normalised second moment is calculated, confirming the estimate given by Conway and Sloane.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Barnes, E. S., ‘Complete enumeration of extreme senary forms’, Phil. Trans. Roy. Soc. London 249 (1957), 461506.Google Scholar
[2]Conway, J. H. and Sloane, N. J. A., ‘Voronoi regions of lattices, second moments of polytopes, and quantization’, IEEE Trans. Inf. Theory 28 (1982), 211226.CrossRefGoogle Scholar
[3]Conway, J. H. and Sloane, N. J. A., ‘On the Voronoi regions of certain lattices’, Siam. J. Alg. Disc. Meth. 5 (1984), 294305.CrossRefGoogle Scholar
[4]Haber, S., ‘Parameters for integrating periodic functions of several variables’, Math. Comp. 41 (1983), 155–129.CrossRefGoogle Scholar