v-b-k-phi

For i=0,1,2, this page gives all the binary connected phi_i-optimal block designs (up to isomorphism) with v points, b blocks and constant block size k, such that v,b,k>=2 and v+b<=16. We remark that phi₀-optimal is often called D-optimal and phi₁-optimal is often called A-optimal. The lists of designs are in DTRS external representation protocol version 2.0 format, compressed by bzip2. Each file has content type a, which means that, for the given i, all phi_i-optimal binary connected block designs (up to isomorphism) with the given (v,b,k) are in that file, where phi_i-optimal means having the least phi_i-value amongst the binary connected block designs with the same (v,b,k) (see the external representation documentation for more detailed information). The block-list of each given design is lexicographically least in its isomorphism class, and within each file, the designs are ordered in increasing lexicographic order of their block-lists. Each file also has content types i, c, g and s, which mean that each design in that file has, respectively, <indicators>, <combinatorial_properties>, <automorphism_group> and <statistical_properties> subtrees. In addition, all equivalence classes of resolutions of the designs are given.

Number of files = 1146