Combinatorial designs and incidence structures

All designs can be accessed by designs.<tab> and are listed in the design catalog:

• Catalog of designs

Design-related classes

• Incidence structures (i.e. hypergraphs, i.e. set systems)

• Covering designs: coverings of t-element subsets of a v-set by k-sets

Constructions

• Block designs

• Balanced Incomplete Block Designs (BIBD)

• Resolvable Balanced Incomplete Block Design (RBIBD)

• Group-Divisible Designs (GDD)

• Mutually Orthogonal Latin Squares (MOLS)

• Orthogonal arrays (OA)

• Orthogonal arrays (build recursive constructions)

• Orthogonal arrays (find recursive constructions)

• Difference families

• Difference Matrices

• Steiner Quadruple Systems

• Two-graphs

• Database of small combinatorial designs

• Database of generalised quadrangles with spread

Technical things

• External Representations of Block Designs

• Cython functions for combinatorial designs

• Hypergraph isomorphic copy search

• Evenly distributed sets in finite fields