Spherical 7-Designs in 2n-Dimensional Euclidean Space

Journal of Algebraic Combinatorics

Volumn 10, Issue 3, 1999, Pages 279-288

  Sidelnikov, V M ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Euclidean space; Orthogonal matrix; Spherical design

Indexed keywords

EID: 0005075358     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018723416627     Document Type: Article

References (9)

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2. J.M. Goethals and J.J. Seidel, "Spherical designs," Proc. of Symposium in Pure Math., Vol. 34, pp. 255-272, 1979.
3. E. Bannai, "On some spherical t-designs," J. Combinatorial Theory (A) 26 (1979), 157-161.
4. E. Bannai, "Spherical t-designs which are orbits of finite groups," J. Math. Soc. 36(2), 1984, 341-354.
5. S. Helgason, Groups and Geometrical Analysis, Academic Press, INC, 1984.
6. N. Ya. Vilenkin, Special Functions and Theory of Representation of Groups, Moscow, Nauka, 1965, (in Russian).
7. V.M. Sidelnikov, "On one finite matrix group and codes on Euclidean sphere," Problems of Information Transmission 33 (1997), 29-44.
8. J.H. Conway, and N.J.A. Sloane, Sphere Packing, Lattices and Groups, 2nd edition, Springer-Verlag, 1993.
9. Lev Kazarin, "On groups suggested by Sidelnikov," Math. USSR Sbornik (1998), to appear.