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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
combinatorial design, isomorphism
combinatorial design, isomorphism
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