Uniqueness of certain association schemes

European Journal of Combinatorics

Volumn 29, Issue 6, 2008, Pages 1379-1395

  Bannai, Eiichi ^a   Bannai, Etsuko ^a   Bannai, Hideo ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43849087964     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2007.06.016     Document Type: Article

References (12)

1. B. Ballinger, G. Blekherman, H. Cohn, N. Giansiracusa, E. Kelly, A. Schürmann, Experimental study of energy-minimizing point configurations on spheres, arXiv:math.MG/0611451v1, November 2006. (See Cohn [7])
2. Bannai E., and Bannai Et. Algebraic Combinatorics on Spheres (1999), Springer-Verlag, Tokyo (in Japanese)
3. H. Bannai. http://www.i.kyushu-u.ac.jp/~bannai/papers/bbb/
4. Bannai E., and Ito T. Algebraic Combinatorics I, Association Schemes (1984), Benjamin/Cummings
5. Bannai E., and Sloane N.J.A. Uniqueness of certain spherical codes. Canad. J. Math. 33 (1891) 437-449
6. Brouwer A.E., Cohen A.M., and Neumaier A. Distance-Regular Graphs (1889), Springer Verlag
7. H. Cohn, Sphere packings, energy minimization, and linear programming bounds, in: The Proceeding of Second COE Workshop on Sphere Packings, 2005, pp. 1-42. See http://www.math.kyushu-u.ac.jp/coe/report/mhf2.cgi
8. Cohn H., and Kumar A. Universally optimal distribution of points on sheres. Amer. J. Math. 20 (2007) 99-148
9. de Caen D., and van Dam E.R. Association schemes related to Kasami codes and Kerdock sets. Designs and codes-A memorial tribute to Ed Assmus. Des. Codes Cryptogr. 18 1-3 (1999) 89-102
10. van Dam E.R. Three-class association schemes. J. Algebraic Combin. 10 1 (1999) 69-107
11. Ericson T., and Zinoviev V. Codes on Euclidean Spheres. North-Holland Mathematical Library vol. 63 (2001), North-Holland, Amsterdam
12. B. MacKay, Nauty. See http://cs.anu.edu.au/ bdm/nauty/