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Spherical codes and designs

- P. Delsarte, J. Goethals, J. Seidel
- Mathematics
- 1 September 1977

Publisher Summary This chapter provides an overview of spherical codes and designs. A finite non-empty set X of unit vectors in Euclidean space R d has several characteristics, such as the dimension… Expand

SPHERICAL CODES AND DESIGNS

- P. Delsarte, J. Goethals, J. Seidel
- Mathematics
- 1991

Publisher Summary This chapter provides an overview of spherical codes and designs. A finite non-empty set X of unit vectors in Euclidean space R d has several characteristics, such as the dimension… Expand

BOUNDS FOR SYSTEMS OF LINES, AND JACOBI POLYNOMIALS

- P. Delsarte, J. Goethals, J. Seidel
- Mathematics
- 1975

Bounds are obtained for the cardinality of sets of lines having a prescribed number of angles, both in real and in complex Euclidean n-space. Extremal sets provide combinatorial configurations with a… Expand

On Generalized Reed-Muller Codes and Their Relatives

- P. Delsarte, J. Goethals, F. MacWilliams
- Mathematics, Computer Science
- Inf. Control.
- 1 July 1970

TLDR

Alternating Bilinear Forms over GF(q)

- P. Delsarte, J. Goethals
- Mathematics, Computer Science
- J. Comb. Theory, Ser. A
- 1 July 1975

ORTHOGONAL MATRICES WITH ZERO DIAGONAL

- J. Goethals, J. Seidel
- Mathematics
- 1967

1. Introduction. C-matrices appear in the literature at various places; for a survey, see [11]. Important for the construction of Hadamard matrices are the symmetric C-matrices, of order v = 2 (mod… Expand

Line graphs, root systems, and elliptic geometry

- P. Cameron, J. Goethals, J. Seidel, E. Shult
- Mathematics
- 1 November 1976

Publisher Summary The chapter discusses star-closed sets of lines at 60 ° and 90 ° , leading to a theorem that leaves only a restricted number of possibilities, of a specific structure. These… Expand

Strongly regular graphs derived from combinatorial designs

- J. Goethals, J. Seidel
- Mathematics
- 1970

Publisher Summary This chapter explores strongly regular graphs derived from combinatorial designs. It presents graphs that are undirected, without loops, and without multiple edges. It discusses the… Expand

THREE-WEIGHT CODES AND ASSOCIATION SCHEMES

- A. Calderbank, J. Goethals
- 2014

Three-weight projective codes C are considered for which the restrietion to C of the Hamming association scheme Hn(q) is an association scheme with three classes. Sufficient conditions are… Expand

Strongly Regular Graphs Having Strongly Regular Subconstituents

- P. Cameron, J. Goethals, J. Seidel
- Mathematics
- 1 December 1978

The chapter reviews the Bose–Mesner algebra of a strongly regular graph Γ , and presents in the i th eigenspace V i , i ∈ {1, 2} a special basis relative to some vertex of the graph. The Krein… Expand

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