| |
|
Henry Cohn and Abhinav Kumar
Uniqueness of the (22,891,1/4) spherical code
|
|
| Published: |
June 13, 2007
|
| Keywords: |
Spherical code, kissing configuration, spherical design, Leech lattice |
| Subject: |
52C17, 05B40 |
|
|
Abstract
We use techniques of Bannai and Sloane to give a new proof that
there is a unique (22,891,1/4) spherical code; this result is
implicit in a recent paper by Cuypers. We also correct a minor
error in the uniqueness proof given by Bannai and Sloane for the
(23,4600,1/3) spherical code.
|
|
| Acknowledgements
Kumar was supported by a summer internship in the Theory Group at Microsoft Research and a Putnam Fellowship at Harvard University.
|
|
| Author information
Henry Cohn:
Microsoft Research, One Microsoft Way, Redmond, WA 98052-6399
cohn@microsoft.com
Abhinav Kumar:
Department of Mathematics, Harvard University, Cambridge, MA 02138
abhinav@math.harvard.edu
Current Address: Microsoft Research, One Microsoft Way, Redmond, WA 98052-6399
abhinavk@microsoft.com
|
|
