Geodesic
Association schemes related to Delsarte-Goethals codes
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 2, pp. 601-631.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

In this paper, we construct an infinite series of 9-class association schemes from a refinement of the partition of Delsarte-Goethals codes by their Lee weights. The explicit expressions of the dual schemes are determined through direct manipulations of complicated exponential sums. As a byproduct, another three infinite families of association schemes are also obtained as fusion schemes and quotient schemes.
Classification : 05E30, 94B25
Keywords: association schemes, Gray map, quaternary codes, Delsarte-Goethals codes 
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     title = {Association schemes related to {Delsarte-Goethals} codes},
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Hu, Sihuang; Feng, Tao; Ge, Gennian. Association schemes related to Delsarte-Goethals codes. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 2, pp. 601-631. http://geodesic.mathdoc.fr/item/JAC_2014__40_2_a1/