A family of antipodal distance-regular graphs related to the classical Preparata codes
Journal of Algebraic Combinatorics, Tome 4 (1995) no. 4, pp. 317-327.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: A new family of distance-regular graphs is constructed. They are antipodal $2 ^{2 t-1}$-fold covers of the complete graph on $2 ^{2 t }$ vertices. The automorphism groups are determined, and the extended Preparata codes are reconstructed using walks on these graphs. There are connections to other interesting structures: the graphs are equivalent to certain generalized Hadamard matrices; and their underlying 3-class association scheme is formally dual to the scheme of a system of linked symmetric designs obtained from Kerdock sets of skew matrices in characteristic two. 
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     title = {A family of antipodal distance-regular graphs related to the classical {Preparata} codes},
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de Caen, D.; Mathon, R.; Moorhouse, G.E. A family of antipodal distance-regular graphs related to the classical Preparata codes. Journal of Algebraic Combinatorics, Tome 4 (1995) no. 4, pp. 317-327. https://geodesic-test.mathdoc.fr/item/JAC_1995__4_4_a2/