A library of triple arrays and unordered triple arrays

This dataset contains lists of triple arrays and unordered triple arrays generated for the paper "Resolvable Triple Arrays" https://arxiv.org/abs/2512.08681, as well as the source code for the algorithms used to generate this data. Please refer to the paper for all terminology used below. Triple arrays and unordered triple arrays are stored in gzip compressed plain text files. The desription of an (r x c, v)-triple array takes r+1 lines. The first line contains four integers: r, c, v and the autotopism group size. The following r lines each contain c integers from 0 to v-1, the contents of the triple array. Example: 4 9 12 34 6 5 7 10 8 3 11 92 7 6 4 1 0 11 5 103 2 9 1 6 4 0 8 115 8 0 9 3 10 7 1 2 The description of an (r x c, v)-unordered triple array takes r+c+1 lines. The first line contains four integers: r, c, v and the automorphism group size. The following r lines each contain c integers from 0 to v-1, the contents of the row-sets. The last c lines each contain r integers from 0 to v-1, the contents of the column-sets. Example: 3 4 6 242 3 4 50 1 2 50 1 3 41 2 30 2 40 3 51 4 5 Description of the file contents depending on its name: r_c_v_UTA: The complete list of pairwise non-isomorphic (r x c, v)-unordered triple arrays. The arrays are grouped by the corresponding symmetric 2-design in Agrawal's construction, with different groups separated by an empty line. 7_15_35_RUTA: The complete list of pairwise non-isomorphic resolvable (7x15, 35)-unordered triple arrays. The arrays are grouped by the corresponding Kirkman parade in the RUTA construction, with different groups separated by an empty line. r_c_v_RUTA_EX: A list of examples of resolvable (r x c, v)-unordered triple arrays. r_c_v_TA: The complete list of pairwise non-isotopic (r x c, v)-triple arrays. r_c_v_TA_i: The complete list of pairwise non-isotopic (r x c, v)-triple arrays with the underlying unordered triple array which is the i-th in the file r_c_v_UTA (numbering starts from zero). r_c_v_TA_EX: A list of examples of (r x c, v)-triple arrays, with one example corresponding to each unordered triple array in the file r_c_v_UTA. 7_15_35_RTA_i: The complete list of pairwise non-isotopic resolvable (7x15, 35)-triple arrays with the underlying unordered triple array which is the i-th in the file 7_15_35_RUTA (numbering starts from zero). 21_15_63_RTA_EX: A list of examples of resolvable (21x15, 63)-triple arrays, with one example corresponding to each unordered triple array in the file 21_15_63_RUTA_EX. code.tar.gz: The source code for the algorithms used to generate this data, with usage instructions.