This page gives all the binary connected
**MV-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. 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 **all**
MV-optimal binary connected block designs (up to isomorphism)
with the given (v,b,k) are in that file, where MV-optimal
means having the least maximum pairwise-variance 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 = 382**

v | b | k | MV | 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 | * |
i c g s a | 1 | download |

2 | 14 | 2 | * |
i c g s a | 1 | download |

v | b | k | MV | 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 | 1 | download |

3 | 3 | 3 | * |
i c g s a | 1 | download |

3 | 4 | 2 | * |
i c g s a | 1 | download |

3 | 4 | 3 | * |
i c g s a | 1 | download |

3 | 5 | 2 | * |
i c g s a | 1 | download |

3 | 5 | 3 | * |
i c g s a | 1 | download |

3 | 6 | 2 | * |
i c g s a | 1 | download |

3 | 6 | 3 | * |
i c g s a | 1 | download |

3 | 7 | 2 | * |
i c g s a | 1 | download |

3 | 7 | 3 | * |
i c g s a | 1 | download |

3 | 8 | 2 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

3 | 8 | 3 | * |
i c g s a | 1 | download |

3 | 9 | 2 | * |
i c g s a | 1 | download |

3 | 9 | 3 | * |
i c g s a | 1 | download |

3 | 10 | 2 | * |
i c g s a | 1 | download |

3 | 10 | 3 | * |
i c g s a | 1 | download |

3 | 11 | 2 | * |
i c g s a | 1 | download |

3 | 11 | 3 | * |
i c g s a | 1 | download |

3 | 12 | 2 | * |
i c g s a | 1 | download |

3 | 12 | 3 | * |
i c g s a | 1 | download |

3 | 13 | 2 | * |
i c g s a | 1 | download |

3 | 13 | 3 | * |
i c g s 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 | MV | content type | # designs | |

4 | 3 | 2 | * |
i c g s a | 1 | download |

4 | 3 | 3 | * |
i c g s a | 1 | download |

4 | 3 | 4 | * |
i c g s a | 1 | download |

4 | 4 | 2 | * |
i c g s a | 1 | download |

4 | 4 | 3 | * |
i c g s a | 1 | download |

4 | 4 | 4 | * |
i c g s a | 1 | download |

4 | 5 | 2 | * |
i c g s a | 1 | download |

4 | 5 | 3 | * |
i c g s a | 1 | download |

4 | 5 | 4 | * |
i c g s a | 1 | download |

4 | 6 | 2 | * |
i c g s a | 1 | download |

4 | 6 | 3 | * |
i c g s a | 2 | download |

4 | 6 | 4 | * |
i c g s a | 1 | download |

4 | 7 | 2 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

4 | 7 | 3 | * |
i c g s a | 1 | download |

4 | 7 | 4 | * |
i c g s a | 1 | download |

4 | 8 | 2 | * |
i c g s a | 1 | download |

4 | 8 | 3 | * |
i c g s a | 1 | download |

4 | 8 | 4 | * |
i c g s a | 1 | download |

4 | 9 | 2 | * |
i c g s a | 1 | download |

4 | 9 | 3 | * |
i c g s a | 1 | download |

4 | 9 | 4 | * |
i c g s a | 1 | download |

4 | 10 | 2 | * |
i c g s a | 1 | download |

4 | 10 | 3 | * |
i c g s a | 2 | download |

4 | 10 | 4 | * |
i c g s a | 1 | download |

4 | 11 | 2 | * |
i c g s a | 1 | download |

4 | 11 | 3 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

4 | 11 | 4 | * |
i c g s a | 1 | download |

4 | 12 | 2 | * |
i c g s a | 1 | download |

4 | 12 | 3 | * |
i c g s a | 1 | download |

4 | 12 | 4 | * |
i c g s 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 | 1 | download |

5 | 3 | 4 | * |
i c g s a | 1 | download |

5 | 3 | 5 | * |
i c g s a | 1 | download |

5 | 4 | 2 | * |
i c g s a | 1 | download |

5 | 4 | 3 | * |
i c g s a | 1 | download |

5 | 4 | 4 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

5 | 4 | 5 | * |
i c g s a | 1 | download |

5 | 5 | 2 | * |
i c g s a | 1 | download |

5 | 5 | 3 | * |
i c g s a | 1 | download |

5 | 5 | 4 | * |
i c g s a | 1 | download |

5 | 5 | 5 | * |
i c g s a | 1 | download |

5 | 6 | 2 | * |
i c g s a | 1 | download |

5 | 6 | 3 | * |
i c g s a | 1 | download |

5 | 6 | 4 | * |
i c g s a | 1 | download |

5 | 6 | 5 | * |
i c g s a | 1 | download |

5 | 7 | 2 | * |
i c g s a | 1 | download |

5 | 7 | 3 | * |
i c g s a | 1 | download |

5 | 7 | 4 | * |
i c g s a | 2 | download |

5 | 7 | 5 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

5 | 8 | 2 | * |
i c g s a | 1 | download |

5 | 8 | 3 | * |
i c g s a | 1 | download |

5 | 8 | 4 | * |
i c g s a | 2 | download |

5 | 8 | 5 | * |
i c g s a | 1 | download |

5 | 9 | 2 | * |
i c g s a | 1 | download |

5 | 9 | 3 | * |
i c g s a | 1 | download |

5 | 9 | 4 | * |
i c g s a | 1 | download |

5 | 9 | 5 | * |
i c g s a | 1 | download |

5 | 10 | 2 | * |
i c g s a | 1 | download |

5 | 10 | 3 | * |
i c g s a | 1 | download |

5 | 10 | 4 | * |
i c g s a | 1 | download |

5 | 10 | 5 | * |
i c g s a | 1 | download |

5 | 11 | 2 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

5 | 11 | 3 | * |
i c g s a | 1 | download |

5 | 11 | 4 | * |
i c g s a | 1 | download |

5 | 11 | 5 | * |
i c g s 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 | 1 | download |

6 | 3 | 4 | * |
i c g s a | 1 | download |

6 | 3 | 5 | * |
i c g s a | 1 | download |

6 | 3 | 6 | * |
i c g s a | 1 | download |

6 | 4 | 3 | * |
i c g s a | 1 | download |

6 | 4 | 4 | * |
i c g s a | 1 | download |

6 | 4 | 5 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

6 | 4 | 6 | * |
i c g s a | 1 | download |

6 | 5 | 2 | * |
i c g s a | 1 | download |

6 | 5 | 3 | * |
i c g s a | 2 | download |

6 | 5 | 4 | * |
i c g s a | 1 | download |

6 | 5 | 5 | * |
i c g s a | 1 | download |

6 | 5 | 6 | * |
i c g s a | 1 | download |

6 | 6 | 2 | * |
i c g s a | 1 | download |

6 | 6 | 3 | * |
i c g s a | 1 | download |

6 | 6 | 4 | * |
i c g s a | 1 | download |

6 | 6 | 5 | * |
i c g s a | 1 | download |

6 | 6 | 6 | * |
i c g s a | 1 | download |

6 | 7 | 2 | * |
i c g s a | 1 | download |

6 | 7 | 3 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

6 | 7 | 4 | * |
i c g s a | 1 | download |

6 | 7 | 5 | * |
i c g s a | 1 | download |

6 | 7 | 6 | * |
i c g s a | 1 | download |

6 | 8 | 2 | * |
i c g s a | 1 | download |

6 | 8 | 3 | * |
i c g s a | 2 | download |

6 | 8 | 4 | * |
i c g s a | 1 | download |

6 | 8 | 5 | * |
i c g s a | 3 | download |

6 | 8 | 6 | * |
i c g s a | 1 | download |

6 | 9 | 2 | * |
i c g s a | 1 | download |

6 | 9 | 3 | * |
i c g s a | 3 | download |

6 | 9 | 4 | * |
i c g s a | 1 | download |

6 | 9 | 5 | * |
i c g s a | 2 | download |

6 | 9 | 6 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

6 | 10 | 2 | * |
i c g s a | 2 | download |

6 | 10 | 3 | * |
i c g s a | 1 | download |

6 | 10 | 4 | * |
i c g s a | 1 | download |

6 | 10 | 5 | * |
i c g s a | 2 | download |

6 | 10 | 6 | * |
i c g s 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 | 1 | download |

7 | 3 | 4 | * |
i c g s a | 1 | download |

7 | 3 | 5 | * |
i c g s a | 1 | download |

7 | 3 | 6 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

7 | 3 | 7 | * |
i c g s a | 1 | download |

7 | 4 | 3 | * |
i c g s a | 1 | download |

7 | 4 | 4 | * |
i c g s a | 1 | download |

7 | 4 | 5 | * |
i c g s a | 1 | download |

7 | 4 | 6 | * |
i c g s a | 1 | download |

7 | 4 | 7 | * |
i c g s a | 1 | download |

7 | 5 | 3 | * |
i c g s a | 1 | download |

7 | 5 | 4 | * |
i c g s a | 1 | download |

7 | 5 | 5 | * |
i c g s a | 1 | download |

7 | 5 | 6 | * |
i c g s a | 1 | download |

7 | 5 | 7 | * |
i c g s a | 1 | download |

7 | 6 | 2 | * |
i c g s a | 1 | download |

7 | 6 | 3 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

7 | 6 | 4 | * |
i c g s a | 1 | download |

7 | 6 | 5 | * |
i c g s a | 1 | download |

7 | 6 | 6 | * |
i c g s a | 1 | download |

7 | 6 | 7 | * |
i c g s a | 1 | download |

7 | 7 | 2 | * |
i c g s a | 1 | download |

7 | 7 | 3 | * |
i c g s a | 1 | download |

7 | 7 | 4 | * |
i c g s a | 1 | download |

7 | 7 | 5 | * |
i c g s a | 1 | download |

7 | 7 | 6 | * |
i c g s a | 1 | download |

7 | 7 | 7 | * |
i c g s a | 1 | download |

7 | 8 | 2 | * |
i c g s a | 1 | download |

7 | 8 | 3 | * |
i c g s a | 2 | download |

7 | 8 | 4 | * |
i c g s a | 4 | download |

v | b | k | MV | content type | # designs | |

7 | 8 | 5 | * |
i c g s a | 1 | download |

7 | 8 | 6 | * |
i c g s a | 1 | download |

7 | 8 | 7 | * |
i c g s a | 1 | download |

7 | 9 | 2 | * |
i c g s a | 1 | download |

7 | 9 | 3 | * |
i c g s a | 3 | download |

7 | 9 | 4 | * |
i c g s a | 2 | download |

7 | 9 | 5 | * |
i c g s a | 1 | download |

7 | 9 | 6 | * |
i c g s a | 3 | download |

7 | 9 | 7 | * |
i c g s 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 | MV | content type | # designs | |

8 | 3 | 4 | * |
i c g s a | 1 | download |

8 | 3 | 5 | * |
i c g s a | 1 | download |

8 | 3 | 6 | * |
i c g s a | 1 | download |

8 | 3 | 7 | * |
i c g s a | 1 | download |

8 | 3 | 8 | * |
i c g s a | 1 | download |

8 | 4 | 3 | * |
i c g s a | 2 | download |

8 | 4 | 4 | * |
i c g s a | 2 | download |

8 | 4 | 5 | * |
i c g s a | 1 | download |

8 | 4 | 6 | * |
i c g s a | 1 | download |

8 | 4 | 7 | * |
i c g s a | 1 | download |

8 | 4 | 8 | * |
i c g s a | 1 | download |

8 | 5 | 3 | * |
i c g s a | 2 | download |

8 | 5 | 4 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

8 | 5 | 5 | * |
i c g s a | 1 | download |

8 | 5 | 6 | * |
i c g s a | 1 | download |

8 | 5 | 7 | * |
i c g s a | 1 | download |

8 | 5 | 8 | * |
i c g s a | 1 | download |

8 | 6 | 3 | * |
i c g s a | 1 | download |

8 | 6 | 4 | * |
i c g s a | 1 | download |

8 | 6 | 5 | * |
i c g s a | 1 | download |

8 | 6 | 6 | * |
i c g s a | 1 | download |

8 | 6 | 7 | * |
i c g s a | 1 | download |

8 | 6 | 8 | * |
i c g s a | 1 | download |

8 | 7 | 2 | * |
i c g s a | 1 | download |

8 | 7 | 3 | * |
i c g s a | 1 | download |

8 | 7 | 4 | * |
i c g s a | 2 | download |

v | b | k | MV | content type | # designs | |

8 | 7 | 5 | * |
i c g s a | 1 | download |

8 | 7 | 6 | * |
i c g s a | 1 | download |

8 | 7 | 7 | * |
i c g s a | 1 | download |

8 | 7 | 8 | * |
i c g s a | 1 | download |

8 | 8 | 2 | * |
i c g s a | 4 | download |

8 | 8 | 3 | * |
i c g s a | 1 | download |

8 | 8 | 4 | * |
i c g s a | 1 | download |

8 | 8 | 5 | * |
i c g s a | 1 | download |

8 | 8 | 6 | * |
i c g s a | 1 | download |

8 | 8 | 7 | * |
i c g s a | 1 | download |

8 | 8 | 8 | * |
i c g s 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 | MV | 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 | 1 | download |

9 | 3 | 5 | * |
i c g s a | 1 | download |

9 | 3 | 6 | * |
i c g s a | 1 | download |

9 | 3 | 7 | * |
i c g s a | 1 | download |

9 | 3 | 8 | * |
i c g s a | 1 | download |

9 | 3 | 9 | * |
i c g s a | 1 | download |

9 | 4 | 3 | * |
i c g s a | 1 | download |

9 | 4 | 4 | * |
i c g s a | 1 | download |

9 | 4 | 5 | * |
i c g s a | 1 | download |

9 | 4 | 6 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

9 | 4 | 7 | * |
i c g s a | 1 | download |

9 | 4 | 8 | * |
i c g s a | 1 | download |

9 | 4 | 9 | * |
i c g s a | 1 | download |

9 | 5 | 3 | * |
i c g s a | 2 | download |

9 | 5 | 4 | * |
i c g s a | 1 | download |

9 | 5 | 5 | * |
i c g s a | 2 | download |

9 | 5 | 6 | * |
i c g s a | 1 | download |

9 | 5 | 7 | * |
i c g s a | 1 | download |

9 | 5 | 8 | * |
i c g s a | 1 | download |

9 | 5 | 9 | * |
i c g s a | 1 | download |

9 | 6 | 3 | * |
i c g s a | 1 | download |

9 | 6 | 4 | * |
i c g s a | 1 | download |

9 | 6 | 5 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

9 | 6 | 6 | * |
i c g s a | 1 | download |

9 | 6 | 7 | * |
i c g s a | 1 | download |

9 | 6 | 8 | * |
i c g s a | 1 | download |

9 | 6 | 9 | * |
i c g s a | 1 | download |

9 | 7 | 3 | * |
i c g s a | 1 | download |

9 | 7 | 4 | * |
i c g s a | 1 | download |

9 | 7 | 5 | * |
i c g s a | 1 | download |

9 | 7 | 6 | * |
i c g s a | 1 | download |

9 | 7 | 7 | * |
i c g s a | 1 | download |

9 | 7 | 8 | * |
i c g s a | 1 | download |

9 | 7 | 9 | * |
i c g s 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 | MV | 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 | 1 | download |

10 | 3 | 5 | * |
i c g s a | 1 | download |

10 | 3 | 6 | * |
i c g s a | 1 | download |

10 | 3 | 7 | * |
i c g s a | 1 | download |

10 | 3 | 8 | * |
i c g s a | 1 | download |

10 | 3 | 9 | * |
i c g s a | 1 | download |

10 | 3 | 10 | * |
i c g s a | 1 | download |

10 | 4 | 4 | * |
i c g s a | 2 | download |

10 | 4 | 5 | * |
i c g s a | 1 | download |

10 | 4 | 6 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

10 | 4 | 7 | * |
i c g s a | 2 | download |

10 | 4 | 8 | * |
i c g s a | 1 | download |

10 | 4 | 9 | * |
i c g s a | 1 | download |

10 | 4 | 10 | * |
i c g s a | 1 | download |

10 | 5 | 3 | * |
i c g s a | 1 | download |

10 | 5 | 4 | * |
i c g s a | 1 | download |

10 | 5 | 5 | * |
i c g s a | 1 | download |

10 | 5 | 6 | * |
i c g s a | 1 | download |

10 | 5 | 7 | * |
i c g s a | 1 | download |

10 | 5 | 8 | * |
i c g s a | 1 | download |

10 | 5 | 9 | * |
i c g s a | 1 | download |

10 | 5 | 10 | * |
i c g s a | 1 | download |

10 | 6 | 3 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

10 | 6 | 4 | * |
i c g s a | 1 | download |

10 | 6 | 5 | * |
i c g s a | 1 | download |

10 | 6 | 6 | * |
i c g s a | 1 | download |

10 | 6 | 7 | * |
i c g s a | 1 | download |

10 | 6 | 8 | * |
i c g s a | 1 | download |

10 | 6 | 9 | * |
i c g s a | 1 | download |

10 | 6 | 10 | * |
i c g s 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 | MV | content type | # designs | |

11 | 3 | 5 | * |
i c g s a | 1 | download |

11 | 3 | 6 | * |
i c g s a | 1 | download |

11 | 3 | 7 | * |
i c g s a | 1 | download |

11 | 3 | 8 | * |
i c g s a | 1 | download |

11 | 3 | 9 | * |
i c g s a | 1 | download |

11 | 3 | 10 | * |
i c g s a | 1 | download |

11 | 3 | 11 | * |
i c g s a | 1 | download |

11 | 4 | 4 | * |
i c g s a | 1 | download |

11 | 4 | 5 | * |
i c g s a | 1 | download |

11 | 4 | 6 | * |
i c g s a | 1 | download |

11 | 4 | 7 | * |
i c g s a | 1 | download |

11 | 4 | 8 | * |
i c g s a | 1 | download |

11 | 4 | 9 | * |
i c g s a | 1 | download |

v | b | k | MV | content type | # designs | |

11 | 4 | 10 | * |
i c g s a | 1 | download |

11 | 4 | 11 | * |
i c g s a | 1 | download |

11 | 5 | 3 | * |
i c g s a | 1 | download |

11 | 5 | 4 | * |
i c g s a | 1 | download |

11 | 5 | 5 | * |
i c g s a | 1 | download |

11 | 5 | 6 | * |
i c g s a | 2 | download |

11 | 5 | 7 | * |
i c g s a | 1 | download |

11 | 5 | 8 | * |
i c g s a | 1 | download |

11 | 5 | 9 | * |
i c g s a | 1 | download |

11 | 5 | 10 | * |
i c g s a | 1 | download |

11 | 5 | 11 | * |
i c g s a | 1 | download |

12 | 2 | 7 | * |
i c g s a | 1 | download |

12 | 2 | 8 | * |
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Last updated: 2005-04-22 10:25:52.784549