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Uniqueness of Certain Spherical Codes

  • E. Bannai
  • N. J. A. Sloane
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 290)

Abstract

We show that there is essentially only one way of arranging 240 (resp. 196560) nonoverlapping unit spheres in R 8 (resp.R 24) so that they all touch another unit sphere Ω n , and only one way of arranging 56 (resp. 4600) spheres in R 8 (resp. R 24) so that they all touch two further, touching spheres. The following tight spherical t-designs are also unique: the 5-design in Ω7, the 7-designs in Ω8 and Ω23, and the 11-design in Ω24.

Keywords

Unit Sphere Linear Code Intersection Number Minimal Norm Distance Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • E. Bannai
  • N. J. A. Sloane

There are no affiliations available

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