1997
DOI: 10.1007/s002220050180
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Dense lattices in dimensions 27-29

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Cited by 6 publications
(35 citation statements)
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“…Now let denote the minimum distance between the points of the underlying lattice . Combining (27) with the definition of the coding gain in (2) and the definition of the shaping gain gives the following result.…”
Section: Letmentioning
confidence: 99%
See 1 more Smart Citation
“…Now let denote the minimum distance between the points of the underlying lattice . Combining (27) with the definition of the coding gain in (2) and the definition of the shaping gain gives the following result.…”
Section: Letmentioning
confidence: 99%
“…The asymptotic, or the nominal, coding gain (cf. [10]) of can then be expressed as (2) The highest possible value of the coding gain of andimensional lattice is called the Hermite parameter. The value of is presently known [6] only for .…”
Section: Bounds For Latticesmentioning
confidence: 99%
“…. , 31 and compare the densities of the resulting packings to that of the laminated lattices [5, pp.157-180], Bacher lattices [1], and Quebbemann [21] lattices in the corresponding dimensions.…”
Section: Theoremmentioning
confidence: 99%
“…However, so far, all the attempts at extending the antipode construction √ 3/2 22 = 0.6584.. 1 , whereas the new packing J 30 has center density 1.…”
Section: Introductionmentioning
confidence: 99%
“…We refer to [24] for the known densest sphere packings in low dimensions; see also [1]. Our knowledge on high-dimensional sphere packings is quite different.…”
Section: Introductionmentioning
confidence: 99%