engleski

Quasi-symmetric designs on 56 points

Computational techniques for the construction of quasi-symmetric block designs are explored and applied to the case with 56 points. One new (56, 16, 18) and many new (56, 16, 6) designs are discovered, and non-existence of (56, 12, 9) and (56, 20, 19) designs with certain automorphism groups is proved. The number of known symmetric (78, 22, 6) designs is also significantly increased.

quasi-symmetric design ; symmetric design ; automorphism group ; construction method ; self-orthogonal code

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