Spherical codes and Borsuk's conjecture

Discrete Mathematics

Volumn 243, Issue 1-3, 2002, Pages 253-256

  Hinrichs, Aicke ^a,b  

^a Mathematisches Institut   (Germany)

^b TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Borsuk's conjecture; Few distance sets; Leech lattice; Spherical codes

Indexed keywords

EID: 31244437499     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(01)00202-3     Document Type: Article

References (10)

1. K. Borsuk, Three theorems on the n-dimensional sphere (german), Fund. Math. 20 (1933) 177-190.
2. J.H. Conway, N.J.A. Sloane, Sphere packings, lattices and groups, 3rd Edition, Springer, New York, 1999.
3. P. Delsarte, J.M. Goethals, J.J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977) 363-388.
4. J. Kahn, G. Kalai, A counterexample to Borsuk's conjecture, Bull. Amer. Math. Soc. 29 (1993) 60-62.
5. A. Nilli, On Borsuk's problem, Jerusalem combinatorics '93, Contemporary Mathematics, Amer. Math. Soc. 178 (1994) 209-210.
6. A.M. Raigorodskii, On dimensionality in the Borsuk problem. Uspekhi Mat. Nauk 52 (1997) 181-182 (in Russian)
7. (English transi. Math. Surveys 52 (1997) 1324-1325).
8. A.M. Raigorodskii, On a bound in Borsuk's problem. Uspekhi Mat. Nauk 54 (1999), 185-186 (in Russian)
9. (English transi. Math. Surveys 54 (1999) 453-454).\
10. B. Weissbach, Sets with large Borsuk number. Beiträge Algebra Geom. 41 (2000) 417-423.