naumdesign - software for combinatorial 2-designs

A 2-(v,k,lambda) design (or 2-design for short) is an incidence structure (V,B) consisting of a set V of v points and a multiset B of blocks, each block being a set of k points, such that every pair of points is contained in exactly lambda blocks. If B has no repeated blocks, then the design is called simple. We assume V = {0, 1, ..., v-1}.

This package contains two programs for generating and processing 2-designs.  It relies on nauty version 2.8.7 or later.

The file README.txt includes detailed instructions.

This software is an appendix to two libraries of 2-designs published on Zenodo (authors: Daniel Heinlein, Andrei Ivanov, Brendan D. McKay, Patric Östergård):

A library of combinatorial 2-designs.   DOI:10.5281/zenodo.8262681
A library of the 2-(9,3,5) designs.   DOI:10.5281/zenodo.8270245