Title of article
Spherical codes and Borsukʹs conjecture
Author/Authors
Aicke Hinrichs، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
4
From page
253
To page
256
Abstract
The approach of Kalai and Kahn towards counterexamples of Borsukʹs conjecture is generalized to spherical codes. This allows the construction of a finite set in R323 which cannot be partitioned into 561 sets of smaller diameter, thus improving upon the previous known examples. The construction is based on the subset of vectors of minimal length in the Leech lattice.
Keywords
Spherical codes , Few distance sets , Leech lattice , Borsukיs conjecture
Journal title
Discrete Mathematics
Serial Year
2002
Journal title
Discrete Mathematics
Record number
949901
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