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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

Technical things

  • External Representations of Block Designs
  • Cython functions for combinatorial designs
  • Hypergraph isomorphic copy search
  • Evenly distributed sets in finite fields

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