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The equivalence of two inequalities for quasisymmetric designs

It has been an open problem whether Hobart's inequality on the parameters of a quasisymmetric 2-design is independent of earlier known restrictions. In this note we show that it is equivalent to inequalities found by Neumaier and Calderbank. We also give some more parameter sets ruled out by the Blokhuis-Calderbank inequality.

preprint2022arXivOpen access

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