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Combinatorial Designs and Incidence StructuresΒΆ


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

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Combinatorial design features that are imported by default in the interpreter namespace

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