engleski

A Series of Hadamard Designs with Large Automorphism Groups

Whilst studying a certain symmetric (99,49,24)-design acted upon a Frobenius group of order 21, it became clear that the design would be a member of an infinite series of symmetric (2q^2+1,q^2,(q^2-1)/2)-designs for odd prime powers q. In this note, we present the definition of the series and give some information about the automorphism groups of its members.

symmetric design; Hadamard matrix; incidence matrix; orbit structure

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