4-(33,k,λ) Designs Associating the Group PГL2(32)

Abstract:

      In the previous paper (reference[3), we have found out all of the Σ₁₆(Ω) orbits under the PГL₂(32), and then given a lot of 4-(33,16,λ), designs. In this note, using the same method, we shall find out the Σ_k(Ω) orbits and 4-(33,k,λ) designs for 5≤k≤15.