Perfect cyclic designs

Construction of Cyclic H-Designs

We consider a technique to construct cyclicH(3)-designs. Further, to illustrate the procedure, we consider and examine some concrete cases. Mathematics Subject Classification: 05C05

Decomposing triples into cyclic designs

Perfect Mendelsohn designs with block size six

Perfect hash families from transversal designs

Some Properties of Perfect Matroid Designs

Blocks of a matroid are called hyperplanes. For various definitions and results connected with matroids, see [26]. Subsets of X , which are intersections of hyperplanes are called flats of a matroid. Each subset Y c_ X has a well-defined rank. If F is a flat of rank i and x e X \ F , then, there is a unique flat of rank (i + 1) which contains FU{x}. Rank of X is said to be the rank of matroid. ...