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Real spherical designs and real and complex projective designs have been shown by Delsarte, Goethals, and Seidel to give rise to association schemes when the strength of the design is high compared to its degree as a code.
The addition formula for Jacobi polynomials. I. Summary of results
T. H. Koornwinder · 1972
Earlier work this paper cites.
An algebraic approach to the association schemes of coding theory
P. Delsarte · 1973
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New estimates for the closest packing of spheres in n n -dimensional Euclidean space
V. M. Sidel ′ · 1974
Earlier work this paper cites.
Bounds for systems of lines, and Jacobi polynomials
P. Delsarte, J. M. Goethals, and J. J. Seidel · 1975
Earlier work this paper cites.
Association schemes and t t -designs in regular semilattices
P. Delsarte · 1976
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Spherical codes and designs
P. Delsarte, J. M. Goethals, and J. J. Seidel · 1977
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The Krein condition, spherical designs, Norton algebras and permutation groups
P. J. Cameron, J.-M. Goethals, and J. J. Seidel · 1978
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Tight spherical designs. I
E. Bannai and R. M. Damerell · 1979
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Tight spherical designs. II
E. Bannai and R. M. Damerell · 1980
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Function Theory in the Unit Ball of 𝐂 n {\bf C}^{n}
W. Rudin · 1980
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Combinatorial configurations in terms of distances
A. Neumaier · 1981
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Algebraic combinatorics. I
E Bannai and T Ito · 1984
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V-rings of permutation groups with invariant metric
M. Muzychuk · 1987
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Distance-Regular Graphs
A. E. Brouwer, A. M. Cohen, and A. Neumaier · 1989
Cited alongside, same era.
Subschemes of some association schemes
E. Bannai · 1991
Cited alongside, same era.
Regular complex polytopes
H. S. M. Coxeter · 1991
Cited alongside, same era.
Representation Theory
W. Fulton and J. Harris · 1991
Cited alongside, same era.
Sphere Packings, Lattices and Groups
J. H. Conway and N. J. A. Sloane · 1993
Cited alongside, same era.
The 𝐙 4 {\bf Z}_{4} -linearity of Kerdock, Preparata, Goethals, and related codes
A. Roger Hammons, Jr., P. V. Kumar, A.R. Calderbank, N. J. A. Sloane, and P. Solé · 1994
Cited alongside, same era.
Finite fields
R. Lidl and H. Niederreiter · 1997
The nonexistence of certain tight spherical designs
E. Bannai, A. Munemasa, and B. Venkov · 2004
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Constructions of mutually unbiased bases
A. Klappenecker and M. Rötteler · 2004
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Symmetric informationally complete quantum measurements
J.M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves · 2004
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Tight informationally complete quantum measurements
A. J. Scott · 2006
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Weighted complex projective 2-designs from bases: optimal state determination by orthogonal measurements
A. Roy and A. J. Scott · 2007
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Compact Lie groups
M. R. Sepanski · 2007
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64 64 lines from a quaternionic polytope
S. G. Hoggar · 1998
Cited alongside, same era.
On designs in compact metric spaces and a universal bound on their size
V. Levenshtein · 1998
Cited alongside, same era.
Design Theory
T Beth, D Jungnickel, and H Lenz · 1999
Cited alongside, same era.
Design systems: combinatorial characterizations of Delsarte 𝒯 \mathcal{T} -designs via partially ordered sets
W. J. Martin · 2001
Cited alongside, same era.
Fundamentals of error-correcting codes
W. C. Huffman and V. Pless · 2003
Cited alongside, same era.
Equiangular lines, mutually unbiased bases, and spin models
C.D. Godsil and A. Roy · 2009
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Unitary designs and codes
A. Roy and A. J. Scott · 2009
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On the equivalence between real mutually unbiased bases and a certain class of association schemes
N. LeCompte, W. J. Martin, and W. Owens · 2010
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Exact point-distributions over the complex sphere
V. Menegatto, C. Oliveira, and A. Peron · 2010
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Bounds for codes and designs in complex subspaces
A. Roy · 2010
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On spherical designs obtained from Q-polynomial association schemes
S. Suda · 2011
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