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math.CO2004★ 1 cited
Amorphic association schemes with negative Latin square type graphs
James A. Davis, Qing Xiang
Applying results from partial difference sets, quadratic forms, and recent results of Brouwer and Van Dam, we construct the first known amorphic association scheme with negative La…
math.CO2004
Negative Latin square type partial difference sets in nonelementary abelian 2-groups
James A. Davis, Qing Xiang
Combining results on quadrics in projective geometries with an algebraic interplay between finite fields and Galois rings, we construct the first known family of partial difference…