Kirkman triple systems with subsystems

The files contain Kirkman Triple Systems classified in the study "J. I. Kokkala, P. R. J. Östergård, Kirkman triple systems with subsystems". The file <em>nonisom-sts<strong>k</strong>.txt</em> contains equivalence class representatives of all KTS(21) that contain an STS(<strong>k</strong>) subsystem. The file <em>nonisom-ntauto.txt</em> contains equivalence class representatives of all KTS(21) for which the underlying STS(21) has notrivial automorphisms. Note that this contains also some KTS(21) with a trivial automorphism group. The file nonisom-td<strong>kn</strong>.txt contains equivalence class representatives of all KTS(21) that contain a TD(k,n) subdesign. Note that equivalence classes that fall into more than one of these categories occur in more than one file. Each line in a file corresponds to one KTS(21) written as a (10,21,9)₇ OE code. A line consists of the number of codewords (which is 21 for every code here) followed by a space-separated list of the codewords. The order of codewords in a line does not carry any significance.