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An updated and extended table of exceptional quasi-symmetric designs

A t-(v, k, λ) design is quasi-symmetric if any two blocks intersect either in x or in y points, for non-negative integers x < y. The first table of admissible exceptional parameters of quasi-symmetric 2-designs with v<40 was published by Neumaier. Updated and extended tables were published by Tonchev, Calderbank, and Shrikhande. The last table was published in The Handbook of Combinatorial Designs and contains all exceptional parameters with v<=70. We update the last published table with new results and extend it to v = 150.

quasi-symmetric designs, exceptional parameters

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