Some small non-embeddable designs

NOTE Some Non-embeddable Quasi-Derived Designs

Van Lint and Tonchev (1993, J. Combin. Theory Ser. A 62, 252 260) described a sufficient condition for the non-embeddability of a quasi-derived design into a symmetric balanced incomplete block design. In this paper, by using the notion of incomplete designs, this criterion is changed to find certain quasi-derived designs in some special cases. Many infinite series of non-embeddable quasi-deriv...

A Class of Non-embeddable Designs

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An infinite Family of Non-embeddable Hadamard Designs

The parameters 2 (2λ + 2, λ + 1, λ) are those of a residual Hadamard 2 (4λ + 3, 2λ + 1, λ) design. All 2 (2λ + 2, λ + 1, λ) designs with λ ≤ 4 are embeddable. The existence of non-embeddable Hadamard 2-designs has been determined for the cases λ = 5, λ = 6, and λ = 7. In this paper the existence of an infinite family of non-embeddable 2 (2λ + 2, λ + 1, λ) designs, λ = 3(2m)− 1,m ≥ 1 is establis...

Some small large sets of t-designs

Non-embeddable Real Algebraic Hypersurfaces

We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.