v-b-k-E

This page gives all the binary connected E=E1-optimal block designs (up to isomorphism and up to the accuracy of our numerical calculation of optimality criteria) 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. E-optimal means having the least maximum canonical-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 design in each file has <indicators>, <combinatorial_properties>, <automorphism_group> and <statistical_properties> subtrees. In addition, 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 E content type # designs
2 2 2 1 i c g s a 1 download
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v b k E content type # designs
3 2 2 1 i c g s a 1 download
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v b k E content type # designs
3 8 3 1 i c g s a 1 download
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3 10 2 1 i c g s a 1 download
3 10 3 1 i c g s a 1 download
3 11 2 1 i c g s a 1 download
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3 12 2 1 i c g s a 1 download
3 12 3 1 i c g s a 1 download
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v b k E content type # designs
4 3 2 1 i c g s a 1 download
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4 4 2 1 i c g s a 1 download
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4 5 2 1 i c g s a 2 download
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4 6 3 1 i c g s a 2 download
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v b k E content type # designs
4 7 3 1 i c g s a 1 download
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4 8 2 1 i c g s a 4 download
4 8 3 1 i c g s a 1 download
4 8 4 1 i c g s a 1 download
4 9 2 1 i c g s a 1 download
4 9 3 1 i c g s a 1 download
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4 10 2 1 i c g s a 1 download
4 10 3 1 i c g s a 2 download
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v b k E content type # designs
4 11 4 1 i c g s a 1 download
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5 2 3 1 i c g s a 1 download
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5 3 3 1 i c g s a 2 download
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5 4 2 1 i c g s a 1 download
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v b k E content type # designs
5 4 5 1 i c g s a 1 download
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5 6 2 1 i c g s a 1 download
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5 7 2 1 i c g s a 3 download
5 7 3 1 i c g s a 1 download
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v b k E content type # designs
5 8 2 1 i c g s a 1 download
5 8 3 1 i c g s a 4 download
5 8 4 1 i c g s a 2 download
5 8 5 1 i c g s a 1 download
5 9 2 1 i c g s a 4 download
5 9 3 1 i c g s a 1 download
5 9 4 1 i c g s a 1 download
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5 10 2 1 i c g s a 1 download
5 10 3 1 i c g s a 1 download
5 10 4 1 i c g s a 1 download
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5 11 2 1 i c g s a 1 download
v b k E content type # designs
5 11 3 1 i c g s a 1 download
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6 2 4 1 i c g s a 1 download
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6 2 6 1 i c g s a 1 download
6 3 3 1 i c g s a 1 download
6 3 4 1 i c g s a 1 download
6 3 5 1 i c g s a 1 download
6 3 6 1 i c g s a 1 download
6 4 3 1 i c g s a 1 download
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v b k E content type # designs
6 4 6 1 i c g s a 1 download
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6 5 3 1 i c g s a 3 download
6 5 4 1 i c g s a 1 download
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6 6 2 1 i c g s a 3 download
6 6 3 1 i c g s a 1 download
6 6 4 1 i c g s a 1 download
6 6 5 1 i c g s a 1 download
6 6 6 1 i c g s a 1 download
6 7 2 1 i c g s a 1 download
6 7 3 1 i c g s a 2 download
v b k E content type # designs
6 7 4 1 i c g s a 2 download
6 7 5 1 i c g s a 1 download
6 7 6 1 i c g s a 1 download
6 8 2 1 i c g s a 1 download
6 8 3 1 i c g s a 6 download
6 8 4 1 i c g s a 1 download
6 8 5 1 i c g s a 3 download
6 8 6 1 i c g s a 1 download
6 9 2 1 i c g s a 1 download
6 9 3 1 i c g s a 1 download
6 9 4 1 i c g s a 1 download
6 9 5 1 i c g s a 2 download
6 9 6 1 i c g s a 1 download
v b k E content type # designs
6 10 2 1 i c g s a 2 download
6 10 3 1 i c g s a 1 download
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6 10 5 1 i c g s a 2 download
6 10 6 1 i c g s a 1 download
7 2 4 1 i c g s a 1 download
7 2 5 1 i c g s a 1 download
7 2 6 1 i c g s a 1 download
7 2 7 1 i c g s a 1 download
7 3 3 1 i c g s a 1 download
7 3 4 1 i c g s a 1 download
7 3 5 1 i c g s a 1 download
7 3 6 1 i c g s a 1 download
v b k E content type # designs
7 3 7 1 i c g s a 1 download
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7 4 5 1 i c g s a 2 download
7 4 6 1 i c g s a 1 download
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7 5 3 1 i c g s a 1 download
7 5 4 1 i c g s a 4 download
7 5 5 1 i c g s a 1 download
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v b k E content type # designs
7 6 4 1 i c g s a 1 download
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7 7 2 1 i c g s a 2 download
7 7 3 1 i c g s a 1 download
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7 8 2 1 i c g s a 8 download
7 8 3 1 i c g s a 2 download
7 8 4 1 i c g s a 4 download
v b k E content type # designs
7 8 5 1 i c g s a 3 download
7 8 6 1 i c g s a 1 download
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7 9 2 1 i c g s a 1 download
7 9 3 1 i c g s a 34 download
7 9 4 1 i c g s a 1 download
7 9 5 1 i c g s a 1 download
7 9 6 1 i c g s a 3 download
7 9 7 1 i c g s a 1 download
8 2 5 1 i c g s a 1 download
8 2 6 1 i c g s a 1 download
8 2 7 1 i c g s a 1 download
8 2 8 1 i c g s a 1 download
v b k E content type # designs
8 3 4 1 i c g s a 1 download
8 3 5 1 i c g s a 1 download
8 3 6 1 i c g s a 1 download
8 3 7 1 i c g s a 1 download
8 3 8 1 i c g s a 1 download
8 4 3 1 i c g s a 1 download
8 4 4 1 i c g s a 2 download
8 4 5 1 i c g s a 2 download
8 4 6 1 i c g s a 1 download
8 4 7 1 i c g s a 1 download
8 4 8 1 i c g s a 1 download
8 5 3 1 i c g s a 1 download
8 5 4 1 i c g s a 2 download
v b k E content type # designs
8 5 5 1 i c g s a 1 download
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8 5 7 1 i c g s a 1 download
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8 6 3 1 i c g s a 2 download
8 6 4 1 i c g s a 6 download
8 6 5 1 i c g s a 2 download
8 6 6 1 i c g s a 1 download
8 6 7 1 i c g s a 1 download
8 6 8 1 i c g s a 1 download
8 7 2 1 i c g s a 1 download
8 7 3 1 i c g s a 1 download
8 7 4 1 i c g s a 1 download
v b k E content type # designs
8 7 5 1 i c g s a 1 download
8 7 6 1 i c g s a 1 download
8 7 7 1 i c g s a 1 download
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8 8 2 1 i c g s a 2 download
8 8 3 1 i c g s a 1 download
8 8 4 1 i c g s a 11 download
8 8 5 1 i c g s a 1 download
8 8 6 1 i c g s a 1 download
8 8 7 1 i c g s a 1 download
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9 2 5 1 i c g s a 1 download
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v b k E content type # designs
9 2 7 1 i c g s a 1 download
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9 3 4 1 i c g s a 1 download
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9 3 8 1 i c g s a 1 download
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9 4 3 1 i c g s a 1 download
9 4 4 1 i c g s a 1 download
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v b k E content type # designs
9 4 7 1 i c g s a 1 download
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9 5 3 1 i c g s a 2 download
9 5 4 1 i c g s a 2 download
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9 5 6 1 i c g s a 1 download
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9 5 8 1 i c g s a 1 download
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9 6 3 1 i c g s a 1 download
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v b k E content type # designs
9 6 6 1 i c g s a 1 download
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9 6 8 1 i c g s a 1 download
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9 7 3 1 i c g s a 5 download
9 7 4 1 i c g s a 5 download
9 7 5 1 i c g s a 4 download
9 7 6 1 i c g s a 1 download
9 7 7 1 i c g s a 1 download
9 7 8 1 i c g s a 1 download
9 7 9 1 i c g s a 1 download
10 2 6 1 i c g s a 1 download
10 2 7 1 i c g s a 1 download
v b k E content type # designs
10 2 8 1 i c g s a 1 download
10 2 9 1 i c g s a 1 download
10 2 10 1 i c g s a 1 download
10 3 4 1 i c g s a 1 download
10 3 5 1 i c g s a 1 download
10 3 6 1 i c g s a 1 download
10 3 7 1 i c g s a 1 download
10 3 8 1 i c g s a 1 download
10 3 9 1 i c g s a 1 download
10 3 10 1 i c g s a 1 download
10 4 4 1 i c g s a 1 download
10 4 5 1 i c g s a 1 download
10 4 6 1 i c g s a 1 download
v b k E content type # designs
10 4 7 1 i c g s a 1 download
10 4 8 1 i c g s a 1 download
10 4 9 1 i c g s a 1 download
10 4 10 1 i c g s a 1 download
10 5 3 1 i c g s a 1 download
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10 5 5 1 i c g s a 3 download
10 5 6 1 i c g s a 1 download
10 5 7 1 i c g s a 1 download
10 5 8 1 i c g s a 1 download
10 5 9 1 i c g s a 1 download
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v b k E content type # designs
10 6 4 1 i c g s a 1 download
10 6 5 1 i c g s a 1 download
10 6 6 1 i c g s a 1 download
10 6 7 1 i c g s a 1 download
10 6 8 1 i c g s a 1 download
10 6 9 1 i c g s a 1 download
10 6 10 1 i c g s a 1 download
11 2 6 1 i c g s a 1 download
11 2 7 1 i c g s a 1 download
11 2 8 1 i c g s a 1 download
11 2 9 1 i c g s a 1 download
11 2 10 1 i c g s a 1 download
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v b k E content type # designs
11 3 5 1 i c g s a 1 download
11 3 6 1 i c g s a 1 download
11 3 7 1 i c g s a 1 download
11 3 8 1 i c g s a 1 download
11 3 9 1 i c g s a 1 download
11 3 10 1 i c g s a 1 download
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11 4 4 1 i c g s a 1 download
11 4 5 1 i c g s a 1 download
11 4 6 1 i c g s a 1 download
11 4 7 1 i c g s a 1 download
11 4 8 1 i c g s a 1 download
11 4 9 1 i c g s a 1 download
v b k E content type # designs
11 4 10 1 i c g s a 1 download
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11 5 3 1 i c g s a 1 download
11 5 4 1 i c g s a 1 download
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11 5 9 1 i c g s a 1 download
11 5 10 1 i c g s a 1 download
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12 2 7 1 i c g s a 1 download
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v b k E content type # designs
12 2 9 1 i c g s a 1 download
12 2 10 1 i c g s a 1 download
12 2 11 1 i c g s a 1 download
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12 3 5 1 i c g s a 1 download
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12 3 8 1 i c g s a 1 download
12 3 9 1 i c g s a 1 download
12 3 10 1 i c g s a 1 download
12 3 11 1 i c g s a 1 download
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12 4 4 1 i c g s a 1 download
v b k E content type # designs
12 4 5 1 i c g s a 1 download
12 4 6 1 i c g s a 1 download
12 4 7 1 i c g s a 1 download
12 4 8 1 i c g s a 1 download
12 4 9 1 i c g s a 1 download
12 4 10 1 i c g s a 1 download
12 4 11 1 i c g s a 1 download
12 4 12 1 i c g s a 1 download
13 2 7 1 i c g s a 1 download
13 2 8 1 i c g s a 1 download
13 2 9 1 i c g s a 1 download
13 2 10 1 i c g s a 1 download
13 2 11 1 i c g s a 1 download
v b k E content type # designs
13 2 12 1 i c g s a 1 download
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13 3 5 1 i c g s a 1 download
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13 3 8 1 i c g s a 1 download
13 3 9 1 i c g s a 1 download
13 3 10 1 i c g s a 1 download
13 3 11 1 i c g s a 1 download
13 3 12 1 i c g s a 1 download
13 3 13 1 i c g s a 1 download
14 2 8 1 i c g s a 1 download
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v b k E content type # designs
14 2 10 1 i c g s a 1 download
14 2 11 1 i c g s a 1 download
14 2 12 1 i c g s a 1 download
14 2 13 1 i c g s a 1 download
14 2 14 1 i c g s a 1 download


Last updated: 2019-12-19