engleski

New (100, 45, 20) Symmetric Designs and Bush-type Hadamard matrices of order 100

All groups of type E_25*E_4 are considered as possible automorphism groups of a (100, 45, 20) symmetric design. New designs are constructed, and those among them leading to Bush-type Hadamard matrices of order 100 are singled out. Further, the full automorphism groups of the constructed designs are given.

symmetric design; automorphism group; Hadamard matricex

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