Isomorphic designs that are not multiplier equivalent

AbstractIn this paper interesting families of designs are constructed and studied. First, a family of cyclic 2-(4n, 3, 2) designs is constructed with the property that each design has two different cyclic structures. This appears to be the first example of any cyclic τ-(ν, κ, γ) designs which are isomorphic but not isomorphic by a multiplier. A related family of 1-rotational 2-(2·4n + 1, 3, 2) designs is also constructed with each having two different 1-rotational structures