This is a preview of subscription content, log in via an institution to check access.
References
Abramowitz, M. and Stegun, I.A., Handbook of Mathematical Functions, Dover, New York, 1965.
Askey, R., ‘Orthogonal Polynomials and Special Functions’, Regional Conference Lectures in Applied Mathematics, SIAM 21 (1975).
Assmus, E.F. and Mattson, H.F., ‘New 5-Designs’, J. Combin. Theory 6, 122–151 (1969).
Bose, R. C. and Mesner, D. M., ‘On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs’, Ann. Math. Statist. 30, 21–38 (1959).
Cameron, P.J. and Lint, J.H van, ‘Graph Theory, Coding Theory and Block Designs’, London Math. Soc. Lecture Note, Ser. 19, Cambr. Univ. Press, 1975.
Coxeter, H.S.M., Regular Polytopes, 3rd Edn, Dover, 1973.
Delsarte, P., ‘An Algebraic Approach to the Association Schemes of Coding Theory’, Philips Res. Repts. Suppl., No. 10 (1973).
Delsarte, P., ‘Four Fundamental Parameters of a Code and their Combinatorial Significance’, Inform. Control 23, 407–438 (1973).
Delsarte, P., ‘Hahn Polynomials Discrete Harmonics, and t-Designs’, SIAM J. Appl. Math. (to appear).
Delsarte, P. and Goethals, J.M., ‘Unrestricted Codes with the Golay Parameters are Unique’, Discrete Math. 12, 212–224 (1975).
Delsarte, P., Goethals, J. M. and Seidel, J.J., ‘Bounds for Systems of Lines, and Jacobi Polynomials’, Philips Res. Repts. 30, 91*-105* (1975). Bouwkamp volume.
Hadwiger, H., ‘Über ausgezeichnete Vektorsterne und reguUire Polytope’, Comm. Math. Helv. 13, 90-l07 (1940).
Higman, D. G., ‘Coherent Configurations, Part I, Ordinary Representation Theory’, Geometriae Dedicata 4, 1–32 (1975).
Hughes, D.R., ‘On t-Designs and Groups’, Am. J. Math. 87, 761–778 (1965).
Koornwinder, T.H., ‘The Addition Formula for Jacobi Polynomials and Spherical Harmonics’, SIAM J. Appl. Math. 2, 236–246 (1973).
Koornwinder, T.H., ‘A Note on the Absolute Bound for Systems of Lines’, Proc. Kon. Nederl. Akad. Wet. Ser. A 79 (Indag. Math. 38), 152–153 (1976).
Lemmens, P. W. H. and Seidel, J.J., ‘Equiangular Lines’ J. Alg. 24, 494–512 (1973).
Lint, J.H van, ‘On the Nonexistence of Perfect 2- and 3-Hamming-Error-Correcting Codes over GF(q)’, Inform. Control 16, 396–401 (1970).
Lint, J.H. van, and Seidel, J.J., ‘Equilateral Point Sets in Elliptic Geometry’, Proc. Kon. Nederl. Akad. Wet. Ser. A 69 (Indag. Math. 28), 335–348 (1966).
McKay, J., ‘A Setting for the Leech Lattice’, p. 117 in Finite Groups 72 (eds. T. Hagen, M. P. Hale, E. E. Shult), North-Holland, 1973, and private communication.
Rankin, R.A., ‘The Closest Packing of Spherical Caps in n Dimensions’, Proc. Glasgow Math. Assoc. 2, 139–144 (1955).
Scott, L. L., ‘A Condition on Higman‘s Parameters’, AMS Notices, Jan. 1973, 701-20-45.
Scott, L.L., ‘Some Properties of Character Products’, J. Alg. 45, 259–265 (1977).
Seidel, J.J., ‘A Survey of Two-graphs’, Proc. Intern. Coll. Teorie Comb., Accad. Naz. Lincei, Roma, 1976, Part I, pp. 481–511.
Seidel, J.J., ‘Graphs and Two-graphs’, 5th Southeastern Conf. on Combinatories, Graph Theory, Computing, Utilitas Math. Publ. Inc., Winnipeg, 1974, pp. 125–143.
Taylor, D.E., ‘Regular Two-graphs’, Proc. London Math. Soc. 35, 257–274 (1977).
Wilson, R.M. and Ray-Chaudhuri, D.K., ‘Generalization of Fisher’s Inequality to t-Designs’, AMS Notices 18, 805 (1971).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Delsarte, P., Goethals, J.M. & Seidel, J.J. Spherical codes and designs. Geom Dedicata 6, 363–388 (1977). https://doi.org/10.1007/BF03187604
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03187604