A Series of Hadamard Designs with Large Automorphism Groups

AbstractWhilst studying a certain symmetric (99,49,24)-design acted upon by a Frobenius group of order 21, it became clear that the design would be a member of an infinite series of symmetric (2q2+1,q2,(q2−1)/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