v-b-k

This page gives all the binary connected 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. The lists of designs for given (v,b,k) are in DTRS external representation protocol version 2.0 format, compressed by bzip2. Each file has content type a, which means that all binary connected block designs (up to isomorphism) with the given (v,b,k) are in that file. 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. When v+b<=14, 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, when v+b<=14, all equivalence classes of resolutions of the designs are given.

Note: The naming and ordering of designs and actual isomorphism class representatives changed when this page was overhauled on 10 December 2004.

Number of files = 382

v b k content type # designs
2 2 2 i c g s a 1 download
2 3 2 i c g s a 1 download
2 4 2 i c g s a 1 download
2 5 2 i c g s a 1 download
2 6 2 i c g s a 1 download
2 7 2 i c g s a 1 download
2 8 2 i c g s a 1 download
2 9 2 i c g s a 1 download
2 10 2 i c g s a 1 download
2 11 2 i c g s a 1 download
2 12 2 i c g s a 1 download
2 13 2 a 1 download
2 14 2 a 1 download
v b k content type # designs
3 2 2 i c g s a 1 download
3 2 3 i c g s a 1 download
3 3 2 i c g s a 2 download
3 3 3 i c g s a 1 download
3 4 2 i c g s a 3 download
3 4 3 i c g s a 1 download
3 5 2 i c g s a 4 download
3 5 3 i c g s a 1 download
3 6 2 i c g s a 6 download
3 6 3 i c g s a 1 download
3 7 2 i c g s a 7 download
3 7 3 i c g s a 1 download
3 8 2 i c g s a 9 download
v b k content type # designs
3 8 3 i c g s a 1 download
3 9 2 i c g s a 11 download
3 9 3 i c g s a 1 download
3 10 2 i c g s a 13 download
3 10 3 i c g s a 1 download
3 11 2 i c g s a 15 download
3 11 3 i c g s a 1 download
3 12 2 a 18 download
3 12 3 a 1 download
3 13 2 a 20 download
3 13 3 a 1 download
4 2 3 i c g s a 1 download
4 2 4 i c g s a 1 download
v b k content type # designs
4 3 2 i c g s a 2 download
4 3 3 i c g s a 2 download
4 3 4 i c g s a 1 download
4 4 2 i c g s a 5 download
4 4 3 i c g s a 4 download
4 4 4 i c g s a 1 download
4 5 2 i c g s a 11 download
4 5 3 i c g s a 5 download
4 5 4 i c g s a 1 download
4 6 2 i c g s a 22 download
4 6 3 i c g s a 8 download
4 6 4 i c g s a 1 download
4 7 2 i c g s a 37 download
v b k content type # designs
4 7 3 i c g s a 10 download
4 7 4 i c g s a 1 download
4 8 2 i c g s a 61 download
4 8 3 i c g s a 14 download
4 8 4 i c g s a 1 download
4 9 2 i c g s a 95 download
4 9 3 i c g s a 17 download
4 9 4 i c g s a 1 download
4 10 2 i c g s a 141 download
4 10 3 i c g s a 22 download
4 10 4 i c g s a 1 download
4 11 2 a 203 download
4 11 3 a 26 download
v b k content type # designs
4 11 4 a 1 download
4 12 2 a 288 download
4 12 3 a 33 download
4 12 4 a 1 download
5 2 3 i c g s a 1 download
5 2 4 i c g s a 1 download
5 2 5 i c g s a 1 download
5 3 3 i c g s a 4 download
5 3 4 i c g s a 2 download
5 3 5 i c g s a 1 download
5 4 2 i c g s a 3 download
5 4 3 i c g s a 12 download
5 4 4 i c g s a 4 download
v b k content type # designs
5 4 5 i c g s a 1 download
5 5 2 i c g s a 11 download
5 5 3 i c g s a 29 download
5 5 4 i c g s a 6 download
5 5 5 i c g s a 1 download
5 6 2 i c g s a 34 download
5 6 3 i c g s a 67 download
5 6 4 i c g s a 9 download
5 6 5 i c g s a 1 download
5 7 2 i c g s a 85 download
5 7 3 i c g s a 138 download
5 7 4 i c g s a 12 download
5 7 5 i c g s a 1 download
v b k content type # designs
5 8 2 i c g s a 193 download
5 8 3 i c g s a 276 download
5 8 4 i c g s a 17 download
5 8 5 i c g s a 1 download
5 9 2 i c g s a 396 download
5 9 3 i c g s a 521 download
5 9 4 i c g s a 22 download
5 9 5 i c g s a 1 download
5 10 2 a 771 download
5 10 3 a 951 download
5 10 4 a 29 download
5 10 5 a 1 download
5 11 2 a 1411 download
v b k content type # designs
5 11 3 a 1664 download
5 11 4 a 36 download
5 11 5 a 1 download
6 2 4 i c g s a 1 download
6 2 5 i c g s a 1 download
6 2 6 i c g s a 1 download
6 3 3 i c g s a 3 download
6 3 4 i c g s a 5 download
6 3 5 i c g s a 2 download
6 3 6 i c g s a 1 download
6 4 3 i c g s a 21 download
6 4 4 i c g s a 16 download
6 4 5 i c g s a 4 download
v b k content type # designs
6 4 6 i c g s a 1 download
6 5 2 i c g s a 6 download
6 5 3 i c g s a 85 download
6 5 4 i c g s a 45 download
6 5 5 i c g s a 6 download
6 5 6 i c g s a 1 download
6 6 2 i c g s a 29 download
6 6 3 i c g s a 331 download
6 6 4 i c g s a 122 download
6 6 5 i c g s a 10 download
6 6 6 i c g s a 1 download
6 7 2 i c g s a 110 download
6 7 3 i c g s a 1118 download
v b k content type # designs
6 7 4 i c g s a 300 download
6 7 5 i c g s a 13 download
6 7 6 i c g s a 1 download
6 8 2 i c g s a 348 download
6 8 3 i c g s a 3593 download
6 8 4 i c g s a 723 download
6 8 5 i c g s a 19 download
6 8 6 i c g s a 1 download
6 9 2 a 969 download
6 9 3 a 10687 download
6 9 4 a 1661 download
6 9 5 a 25 download
6 9 6 a 1 download
v b k content type # designs
6 10 2 a 2445 download
6 10 3 a 30190 download
6 10 4 a 3681 download
6 10 5 a 34 download
6 10 6 a 1 download
7 2 4 i c g s a 1 download
7 2 5 i c g s a 1 download
7 2 6 i c g s a 1 download
7 2 7 i c g s a 1 download
7 3 3 i c g s a 2 download
7 3 4 i c g s a 6 download
7 3 5 i c g s a 5 download
7 3 6 i c g s a 2 download
v b k content type # designs
7 3 7 i c g s a 1 download
7 4 3 i c g s a 19 download
7 4 4 i c g s a 41 download
7 4 5 i c g s a 17 download
7 4 6 i c g s a 4 download
7 4 7 i c g s a 1 download
7 5 3 i c g s a 143 download
7 5 4 i c g s a 220 download
7 5 5 i c g s a 53 download
7 5 6 i c g s a 6 download
7 5 7 i c g s a 1 download
7 6 2 i c g s a 11 download
7 6 3 i c g s a 885 download
v b k content type # designs
7 6 4 i c g s a 1175 download
7 6 5 i c g s a 162 download
7 6 6 i c g s a 10 download
7 6 7 i c g s a 1 download
7 7 2 i c g s a 70 download
7 7 3 i c g s a 4888 download
7 7 4 i c g s a 5865 download
7 7 5 i c g s a 457 download
7 7 6 i c g s a 14 download
7 7 7 i c g s a 1 download
7 8 2 a 339 download
7 8 3 a 24769 download
7 8 4 a 27946 download
v b k content type # designs
7 8 5 a 1283 download
7 8 6 a 20 download
7 8 7 a 1 download
7 9 2 a 1318 download
7 9 3 a 115800 download
7 9 4 a 125390 download
7 9 5 a 3484 download
7 9 6 a 27 download
7 9 7 a 1 download
8 2 5 i c g s a 1 download
8 2 6 i c g s a 1 download
8 2 7 i c g s a 1 download
8 2 8 i c g s a 1 download
v b k content type # designs
8 3 4 i c g s a 6 download
8 3 5 i c g s a 7 download
8 3 6 i c g s a 5 download
8 3 7 i c g s a 2 download
8 3 8 i c g s a 1 download
8 4 3 i c g s a 10 download
8 4 4 i c g s a 67 download
8 4 5 i c g s a 56 download
8 4 6 i c g s a 18 download
8 4 7 i c g s a 4 download
8 4 8 i c g s a 1 download
8 5 3 i c g s a 136 download
8 5 4 i c g s a 666 download
v b k content type # designs
8 5 5 i c g s a 367 download
8 5 6 i c g s a 57 download
8 5 7 i c g s a 6 download
8 5 8 i c g s a 1 download
8 6 3 i c g s a 1394 download
8 6 4 i c g s a 6592 download
8 6 5 i c g s a 2581 download
8 6 6 i c g s a 186 download
8 6 7 i c g s a 10 download
8 6 8 i c g s a 1 download
8 7 2 a 23 download
8 7 3 a 11943 download
8 7 4 a 62844 download
v b k content type # designs
8 7 5 a 17776 download
8 7 6 a 573 download
8 7 7 a 14 download
8 7 8 a 1 download
8 8 2 a 185 download
8 8 3 a 93072 download
8 8 4 a 565512 download
8 8 5 a 120735 download
8 8 6 a 1785 download
8 8 7 a 21 download
8 8 8 a 1 download
9 2 5 i c g s a 1 download
9 2 6 i c g s a 1 download
v b k content type # designs
9 2 7 i c g s a 1 download
9 2 8 i c g s a 1 download
9 2 9 i c g s a 1 download
9 3 4 i c g s a 3 download
9 3 5 i c g s a 10 download
9 3 6 i c g s a 8 download
9 3 7 i c g s a 5 download
9 3 8 i c g s a 2 download
9 3 9 i c g s a 1 download
9 4 3 i c g s a 4 download
9 4 4 i c g s a 67 download
9 4 5 i c g s a 123 download
9 4 6 i c g s a 64 download
v b k content type # designs
9 4 7 i c g s a 18 download
9 4 8 i c g s a 4 download
9 4 9 i c g s a 1 download
9 5 3 i c g s a 85 download
9 5 4 i c g s a 1172 download
9 5 5 i c g s a 1692 download
9 5 6 i c g s a 480 download
9 5 7 i c g s a 58 download
9 5 8 i c g s a 6 download
9 5 9 i c g s a 1 download
9 6 3 a 1361 download
9 6 4 a 20546 download
9 6 5 a 25707 download
v b k content type # designs
9 6 6 a 4054 download
9 6 7 a 195 download
9 6 8 a 10 download
9 6 9 a 1 download
9 7 3 a 17690 download
9 7 4 a 348083 download
9 7 5 a 398883 download
9 7 6 a 35867 download
9 7 7 a 630 download
9 7 8 a 14 download
9 7 9 a 1 download
10 2 6 i c g s a 1 download
10 2 7 i c g s a 1 download
v b k content type # designs
10 2 8 i c g s a 1 download
10 2 9 i c g s a 1 download
10 2 10 i c g s a 1 download
10 3 4 i c g s a 2 download
10 3 5 i c g s a 8 download
10 3 6 i c g s a 12 download
10 3 7 i c g s a 8 download
10 3 8 i c g s a 5 download
10 3 9 i c g s a 2 download
10 3 10 i c g s a 1 download
10 4 4 i c g s a 53 download
10 4 5 i c g s a 187 download
10 4 6 i c g s a 174 download
v b k content type # designs
10 4 7 i c g s a 68 download
10 4 8 i c g s a 18 download
10 4 9 i c g s a 4 download
10 4 10 i c g s a 1 download
10 5 3 a 31 download
10 5 4 a 1412 download
10 5 5 a 4725 download
10 5 6 a 3011 download
10 5 7 a 541 download
10 5 8 a 59 download
10 5 9 a 6 download
10 5 10 a 1 download
10 6 3 a 871 download
v b k content type # designs
10 6 4 a 39243 download
10 6 5 a 141745 download
10 6 6 a 63527 download
10 6 7 a 5137 download
10 6 8 a 199 download
10 6 9 a 10 download
10 6 10 a 1 download
11 2 6 i c g s a 1 download
11 2 7 i c g s a 1 download
11 2 8 i c g s a 1 download
11 2 9 i c g s a 1 download
11 2 10 i c g s a 1 download
11 2 11 i c g s a 1 download
v b k content type # designs
11 3 5 i c g s a 6 download
11 3 6 i c g s a 13 download
11 3 7 i c g s a 13 download
11 3 8 i c g s a 8 download
11 3 9 i c g s a 5 download
11 3 10 i c g s a 2 download
11 3 11 i c g s a 1 download
11 4 4 a 28 download
11 4 5 a 205 download
11 4 6 a 337 download
11 4 7 a 206 download
11 4 8 a 69 download
11 4 9 a 18 download
v b k content type # designs
11 4 10 a 4 download
11 4 11 a 1 download
11 5 3 a 8 download
11 5 4 a 1177 download
11 5 5 a 8672 download
11 5 6 a 11970 download
11 5 7 a 4181 download
11 5 8 a 569 download
11 5 9 a 59 download
11 5 10 a 6 download
11 5 11 a 1 download
12 2 7 i c g s a 1 download
12 2 8 i c g s a 1 download
v b k content type # designs
12 2 9 i c g s a 1 download
12 2 10 i c g s a 1 download
12 2 11 i c g s a 1 download
12 2 12 i c g s a 1 download
12 3 5 a 3 download
12 3 6 a 13 download
12 3 7 a 16 download
12 3 8 a 14 download
12 3 9 a 8 download
12 3 10 a 5 download
12 3 11 a 2 download
12 3 12 a 1 download
12 4 4 a 11 download
v b k content type # designs
12 4 5 a 174 download
12 4 6 a 498 download
12 4 7 a 482 download
12 4 8 a 225 download
12 4 9 a 70 download
12 4 10 a 18 download
12 4 11 a 4 download
12 4 12 a 1 download
13 2 7 a 1 download
13 2 8 a 1 download
13 2 9 a 1 download
13 2 10 a 1 download
13 2 11 a 1 download
v b k content type # designs
13 2 12 a 1 download
13 2 13 a 1 download
13 3 5 a 2 download
13 3 6 a 8 download
13 3 7 a 19 download
13 3 8 a 18 download
13 3 9 a 14 download
13 3 10 a 8 download
13 3 11 a 5 download
13 3 12 a 2 download
13 3 13 a 1 download
14 2 8 a 1 download
14 2 9 a 1 download
v b k content type # designs
14 2 10 a 1 download
14 2 11 a 1 download
14 2 12 a 1 download
14 2 13 a 1 download
14 2 14 a 1 download


Last updated: 2005-04-22 10:14:15.362717