Steiner 2-designs S(2,4,28) with nontrivial automorphisms

In this article designs with parameters S(2,4,28) and nontrivial automorphism groups are classified. A total of 4466 designs were found. Together with some S(2,4,28)\u27s with trivial automorphism groups found by A.Betten, D.Betten and V.D.Tonchev this sums up to 4653 nonisomorphic S(2,4,28) designs

Monomial embeddings of the Klein curve

AbstractThe Klein curve is defined by the smooth plane model X3Y+Y3Z+Z3X=0. We give all embeddings in higher dimension with a linear action of the automorphism group. The curve has 24 flexpoints, i.e. points where the tangent intersects with multiplicity three. For even characteristic, the embeddings yield interesting configurations of the flexpoints and good linear codes