This page gives all the binary connected block designs (up to isomorphism) with v points, b blocks, constant replication number r and constant block size k, such that v,b,r,k>=2 and v+b<=18. The lists of designs for given (v,b,r,k) are in DTRS external representation protocol version 2.0 format, compressed by bzip2. Each file has content types i, c, g and s, which mean that each design in these files has, respectively, <indicators>, <combinatorial_properties>, <automorphism_group> and <statistical_properties> subtrees. Moreover, each file has content type a, which means that all binary connected block designs (up to isomorphism) with the given (v,b,r,k) are in that file. In addition, all equivalence classes of resolutions of these designs (when they are resolvable) are given.
Number of files = 194
| v | b | r | k | content type | # designs | |
|---|---|---|---|---|---|---|
| 2 | 2 | 2 | 2 | i c g s a | 1 | download |
| 2 | 3 | 3 | 2 | i c g s a | 1 | download |
| 2 | 4 | 4 | 2 | i c g s a | 1 | download |
| 2 | 5 | 5 | 2 | i c g s a | 1 | download |
| 2 | 6 | 6 | 2 | i c g s a | 1 | download |
| 2 | 7 | 7 | 2 | i c g s a | 1 | download |
| 2 | 8 | 8 | 2 | i c g s a | 1 | download |
| 2 | 9 | 9 | 2 | i c g s a | 1 | download |
| 2 | 10 | 10 | 2 | i c g s a | 1 | download |
| 2 | 11 | 11 | 2 | i c g s a | 1 | download |
| 2 | 12 | 12 | 2 | i c g s a | 1 | download |
| 2 | 13 | 13 | 2 | i c g s a | 1 | download |
| 2 | 14 | 14 | 2 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 2 | 15 | 15 | 2 | i c g s a | 1 | download |
| 2 | 16 | 16 | 2 | i c g s a | 1 | download |
| 3 | 2 | 2 | 3 | i c g s a | 1 | download |
| 3 | 3 | 2 | 2 | i c g s a | 1 | download |
| 3 | 3 | 3 | 3 | i c g s a | 1 | download |
| 3 | 4 | 4 | 3 | i c g s a | 1 | download |
| 3 | 5 | 5 | 3 | i c g s a | 1 | download |
| 3 | 6 | 4 | 2 | i c g s a | 1 | download |
| 3 | 6 | 6 | 3 | i c g s a | 1 | download |
| 3 | 7 | 7 | 3 | i c g s a | 1 | download |
| 3 | 8 | 8 | 3 | i c g s a | 1 | download |
| 3 | 9 | 6 | 2 | i c g s a | 1 | download |
| 3 | 9 | 9 | 3 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 3 | 10 | 10 | 3 | i c g s a | 1 | download |
| 3 | 11 | 11 | 3 | i c g s a | 1 | download |
| 3 | 12 | 8 | 2 | i c g s a | 1 | download |
| 3 | 12 | 12 | 3 | i c g s a | 1 | download |
| 3 | 13 | 13 | 3 | i c g s a | 1 | download |
| 3 | 14 | 14 | 3 | i c g s a | 1 | download |
| 3 | 15 | 10 | 2 | i c g s a | 1 | download |
| 3 | 15 | 15 | 3 | i c g s a | 1 | download |
| 4 | 2 | 2 | 4 | i c g s a | 1 | download |
| 4 | 3 | 3 | 4 | i c g s a | 1 | download |
| 4 | 4 | 2 | 2 | i c g s a | 1 | download |
| 4 | 4 | 3 | 3 | i c g s a | 1 | download |
| 4 | 4 | 4 | 4 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 4 | 5 | 5 | 4 | i c g s a | 1 | download |
| 4 | 6 | 3 | 2 | i c g s a | 2 | download |
| 4 | 6 | 6 | 4 | i c g s a | 1 | download |
| 4 | 7 | 7 | 4 | i c g s a | 1 | download |
| 4 | 8 | 4 | 2 | i c g s a | 3 | download |
| 4 | 8 | 6 | 3 | i c g s a | 1 | download |
| 4 | 8 | 8 | 4 | i c g s a | 1 | download |
| 4 | 9 | 9 | 4 | i c g s a | 1 | download |
| 4 | 10 | 5 | 2 | i c g s a | 4 | download |
| 4 | 10 | 10 | 4 | i c g s a | 1 | download |
| 4 | 11 | 11 | 4 | i c g s a | 1 | download |
| 4 | 12 | 6 | 2 | i c g s a | 6 | download |
| 4 | 12 | 9 | 3 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 4 | 12 | 12 | 4 | i c g s a | 1 | download |
| 4 | 13 | 13 | 4 | i c g s a | 1 | download |
| 4 | 14 | 7 | 2 | i c g s a | 7 | download |
| 4 | 14 | 14 | 4 | i c g s a | 1 | download |
| 5 | 2 | 2 | 5 | i c g s a | 1 | download |
| 5 | 3 | 3 | 5 | i c g s a | 1 | download |
| 5 | 4 | 4 | 5 | i c g s a | 1 | download |
| 5 | 5 | 2 | 2 | i c g s a | 1 | download |
| 5 | 5 | 3 | 3 | i c g s a | 2 | download |
| 5 | 5 | 4 | 4 | i c g s a | 1 | download |
| 5 | 5 | 5 | 5 | i c g s a | 1 | download |
| 5 | 6 | 6 | 5 | i c g s a | 1 | download |
| 5 | 7 | 7 | 5 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 5 | 8 | 8 | 5 | i c g s a | 1 | download |
| 5 | 9 | 9 | 5 | i c g s a | 1 | download |
| 5 | 10 | 4 | 2 | i c g s a | 6 | download |
| 5 | 10 | 6 | 3 | i c g s a | 7 | download |
| 5 | 10 | 8 | 4 | i c g s a | 1 | download |
| 5 | 10 | 10 | 5 | i c g s a | 1 | download |
| 5 | 11 | 11 | 5 | i c g s a | 1 | download |
| 5 | 12 | 12 | 5 | i c g s a | 1 | download |
| 5 | 13 | 13 | 5 | i c g s a | 1 | download |
| 6 | 2 | 2 | 6 | i c g s a | 1 | download |
| 6 | 3 | 2 | 4 | i c g s a | 1 | download |
| 6 | 3 | 3 | 6 | i c g s a | 1 | download |
| 6 | 4 | 2 | 3 | i c g s a | 2 | download |
| v | b | r | k | content type | # designs | |
| 6 | 4 | 4 | 6 | i c g s a | 1 | download |
| 6 | 5 | 5 | 6 | i c g s a | 1 | download |
| 6 | 6 | 2 | 2 | i c g s a | 1 | download |
| 6 | 6 | 3 | 3 | i c g s a | 6 | download |
| 6 | 6 | 4 | 4 | i c g s a | 4 | download |
| 6 | 6 | 5 | 5 | i c g s a | 1 | download |
| 6 | 6 | 6 | 6 | i c g s a | 1 | download |
| 6 | 7 | 7 | 6 | i c g s a | 1 | download |
| 6 | 8 | 4 | 3 | i c g s a | 18 | download |
| 6 | 8 | 8 | 6 | i c g s a | 1 | download |
| 6 | 9 | 3 | 2 | i c g s a | 6 | download |
| 6 | 9 | 6 | 4 | i c g s a | 9 | download |
| 6 | 9 | 9 | 6 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 6 | 10 | 5 | 3 | i c g s a | 45 | download |
| 6 | 10 | 10 | 6 | i c g s a | 1 | download |
| 6 | 11 | 11 | 6 | i c g s a | 1 | download |
| 6 | 12 | 4 | 2 | i c g s a | 19 | download |
| 6 | 12 | 6 | 3 | i c g s a | 131 | download |
| 6 | 12 | 8 | 4 | i c g s a | 24 | download |
| 6 | 12 | 10 | 5 | i c g s a | 1 | download |
| 6 | 12 | 12 | 6 | i c g s a | 1 | download |
| 7 | 2 | 2 | 7 | i c g s a | 1 | download |
| 7 | 3 | 3 | 7 | i c g s a | 1 | download |
| 7 | 4 | 4 | 7 | i c g s a | 1 | download |
| 7 | 5 | 5 | 7 | i c g s a | 1 | download |
| 7 | 6 | 6 | 7 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 7 | 7 | 2 | 2 | i c g s a | 1 | download |
| 7 | 7 | 3 | 3 | i c g s a | 15 | download |
| 7 | 7 | 4 | 4 | i c g s a | 16 | download |
| 7 | 7 | 5 | 5 | i c g s a | 4 | download |
| 7 | 7 | 6 | 6 | i c g s a | 1 | download |
| 7 | 7 | 7 | 7 | i c g s a | 1 | download |
| 7 | 8 | 8 | 7 | i c g s a | 1 | download |
| 7 | 9 | 9 | 7 | i c g s a | 1 | download |
| 7 | 10 | 10 | 7 | i c g s a | 1 | download |
| 7 | 11 | 11 | 7 | i c g s a | 1 | download |
| 8 | 2 | 2 | 8 | i c g s a | 1 | download |
| 8 | 3 | 3 | 8 | i c g s a | 1 | download |
| 8 | 4 | 2 | 4 | i c g s a | 3 | download |
| v | b | r | k | content type | # designs | |
| 8 | 4 | 3 | 6 | i c g s a | 1 | download |
| 8 | 4 | 4 | 8 | i c g s a | 1 | download |
| 8 | 5 | 5 | 8 | i c g s a | 1 | download |
| 8 | 6 | 3 | 4 | i c g s a | 18 | download |
| 8 | 6 | 6 | 8 | i c g s a | 1 | download |
| 8 | 7 | 7 | 8 | i c g s a | 1 | download |
| 8 | 8 | 2 | 2 | i c g s a | 1 | download |
| 8 | 8 | 3 | 3 | i c g s a | 48 | download |
| 8 | 8 | 4 | 4 | i c g s a | 193 | download |
| 8 | 8 | 5 | 5 | i c g s a | 51 | download |
| 8 | 8 | 6 | 6 | i c g s a | 7 | download |
| 8 | 8 | 7 | 7 | i c g s a | 1 | download |
| 8 | 8 | 8 | 8 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 8 | 9 | 9 | 8 | i c g s a | 1 | download |
| 8 | 10 | 5 | 4 | i c g s a | 3143 | download |
| 8 | 10 | 10 | 8 | i c g s a | 1 | download |
| 9 | 2 | 2 | 9 | i c g s a | 1 | download |
| 9 | 3 | 2 | 6 | i c g s a | 1 | download |
| 9 | 3 | 3 | 9 | i c g s a | 1 | download |
| 9 | 4 | 4 | 9 | i c g s a | 1 | download |
| 9 | 5 | 5 | 9 | i c g s a | 1 | download |
| 9 | 6 | 2 | 3 | i c g s a | 6 | download |
| 9 | 6 | 4 | 6 | i c g s a | 9 | download |
| 9 | 6 | 6 | 9 | i c g s a | 1 | download |
| 9 | 7 | 7 | 9 | i c g s a | 1 | download |
| 9 | 8 | 8 | 9 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 9 | 9 | 2 | 2 | i c g s a | 1 | download |
| 9 | 9 | 3 | 3 | i c g s a | 215 | download |
| 9 | 9 | 4 | 4 | i c g s a | 3528 | download |
| 9 | 9 | 5 | 5 | i c g s a | 3529 | download |
| 9 | 9 | 6 | 6 | i c g s a | 224 | download |
| 9 | 9 | 7 | 7 | i c g s a | 8 | download |
| 9 | 9 | 8 | 8 | i c g s a | 1 | download |
| 9 | 9 | 9 | 9 | i c g s a | 1 | download |
| 10 | 2 | 2 | 10 | i c g s a | 1 | download |
| 10 | 3 | 3 | 10 | i c g s a | 1 | download |
| 10 | 4 | 2 | 5 | i c g s a | 4 | download |
| 10 | 4 | 4 | 10 | i c g s a | 1 | download |
| 10 | 5 | 2 | 4 | i c g s a | 6 | download |
| v | b | r | k | content type | # designs | |
| 10 | 5 | 3 | 6 | i c g s a | 7 | download |
| 10 | 5 | 4 | 8 | i c g s a | 1 | download |
| 10 | 5 | 5 | 10 | i c g s a | 1 | download |
| 10 | 6 | 3 | 5 | i c g s a | 45 | download |
| 10 | 6 | 6 | 10 | i c g s a | 1 | download |
| 10 | 7 | 7 | 10 | i c g s a | 1 | download |
| 10 | 8 | 4 | 5 | i c g s a | 3143 | download |
| 10 | 8 | 8 | 10 | i c g s a | 1 | download |
| 11 | 2 | 2 | 11 | i c g s a | 1 | download |
| 11 | 3 | 3 | 11 | i c g s a | 1 | download |
| 11 | 4 | 4 | 11 | i c g s a | 1 | download |
| 11 | 5 | 5 | 11 | i c g s a | 1 | download |
| 11 | 6 | 6 | 11 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 11 | 7 | 7 | 11 | i c g s a | 1 | download |
| 12 | 2 | 2 | 12 | i c g s a | 1 | download |
| 12 | 3 | 2 | 8 | i c g s a | 1 | download |
| 12 | 3 | 3 | 12 | i c g s a | 1 | download |
| 12 | 4 | 2 | 6 | i c g s a | 6 | download |
| 12 | 4 | 3 | 9 | i c g s a | 1 | download |
| 12 | 4 | 4 | 12 | i c g s a | 1 | download |
| 12 | 5 | 5 | 12 | i c g s a | 1 | download |
| 12 | 6 | 2 | 4 | i c g s a | 19 | download |
| 12 | 6 | 3 | 6 | i c g s a | 131 | download |
| 12 | 6 | 4 | 8 | i c g s a | 24 | download |
| 12 | 6 | 5 | 10 | i c g s a | 1 | download |
| 12 | 6 | 6 | 12 | i c g s a | 1 | download |
| v | b | r | k | content type | # designs | |
| 13 | 2 | 2 | 13 | i c g s a | 1 | download |
| 13 | 3 | 3 | 13 | i c g s a | 1 | download |
| 13 | 4 | 4 | 13 | i c g s a | 1 | download |
| 13 | 5 | 5 | 13 | i c g s a | 1 | download |
| 14 | 2 | 2 | 14 | i c g s a | 1 | download |
| 14 | 3 | 3 | 14 | i c g s a | 1 | download |
| 14 | 4 | 2 | 7 | i c g s a | 7 | download |
| 14 | 4 | 4 | 14 | i c g s a | 1 | download |
| 15 | 2 | 2 | 15 | i c g s a | 1 | download |
| 15 | 3 | 2 | 10 | i c g s a | 1 | download |
| 15 | 3 | 3 | 15 | i c g s a | 1 | download |
| 16 | 2 | 2 | 16 | i c g s a | 1 | download |
Last updated: 2005-04-22 10:17:02.088862