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 |
| 2 | 3 | 2 | 1 | i c g s a | 1 | download |
| 2 | 4 | 2 | 1 | i c g s a | 1 | download |
| 2 | 5 | 2 | 1 | i c g s a | 1 | download |
| 2 | 6 | 2 | 1 | i c g s a | 1 | download |
| 2 | 7 | 2 | 1 | i c g s a | 1 | download |
| 2 | 8 | 2 | 1 | i c g s a | 1 | download |
| 2 | 9 | 2 | 1 | i c g s a | 1 | download |
| 2 | 10 | 2 | 1 | i c g s a | 1 | download |
| 2 | 11 | 2 | 1 | i c g s a | 1 | download |
| 2 | 12 | 2 | 1 | i c g s a | 1 | download |
| 2 | 13 | 2 | 1 | i c g s a | 1 | download |
| 2 | 14 | 2 | 1 | i c g s a | 1 | download |
| v | b | k | E | content type | # designs | |
| 3 | 2 | 2 | 1 | i c g s a | 1 | download |
| 3 | 2 | 3 | 1 | i c g s a | 1 | download |
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| 3 | 3 | 3 | 1 | i c g s a | 1 | download |
| 3 | 4 | 2 | 1 | i c g s a | 1 | download |
| 3 | 4 | 3 | 1 | i c g s a | 1 | download |
| 3 | 5 | 2 | 1 | i c g s a | 1 | download |
| 3 | 5 | 3 | 1 | i c g s a | 1 | download |
| 3 | 6 | 2 | 1 | i c g s a | 1 | download |
| 3 | 6 | 3 | 1 | i c g s a | 1 | download |
| 3 | 7 | 2 | 1 | i c g s a | 1 | download |
| 3 | 7 | 3 | 1 | i c g s a | 1 | download |
| 3 | 8 | 2 | 1 | i c g s a | 1 | download |
| v | b | k | E | content type | # designs | |
| 3 | 8 | 3 | 1 | i c g s a | 1 | download |
| 3 | 9 | 2 | 1 | i c g s a | 1 | download |
| 3 | 9 | 3 | 1 | i c g s a | 1 | download |
| 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 |
| 3 | 11 | 3 | 1 | i c g s a | 1 | download |
| 3 | 12 | 2 | 1 | i c g s a | 1 | download |
| 3 | 12 | 3 | 1 | i c g s a | 1 | download |
| 3 | 13 | 2 | 1 | i c g s a | 1 | download |
| 3 | 13 | 3 | 1 | i c g s a | 1 | download |
| 4 | 2 | 3 | 1 | i c g s a | 1 | download |
| 4 | 2 | 4 | 1 | i c g s a | 1 | download |
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| 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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| 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 |
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| 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 |
| 4 | 10 | 4 | 1 | i c g s a | 1 | download |
| 4 | 11 | 2 | 1 | i c g s a | 2 | download |
| 4 | 11 | 3 | 1 | i c g s a | 1 | download |
| v | b | k | E | content type | # designs | |
| 4 | 11 | 4 | 1 | i c g s a | 1 | download |
| 4 | 12 | 2 | 1 | i c g s a | 1 | download |
| 4 | 12 | 3 | 1 | i c g s a | 1 | download |
| 4 | 12 | 4 | 1 | i c g s a | 1 | download |
| 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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| 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 |
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| 5 | 9 | 2 | 1 | i c g s a | 4 | download |
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| 5 | 11 | 2 | 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 | 3 | 3 | 1 | i c g s a | 1 | download |
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| 6 | 4 | 3 | 1 | i c g s a | 1 | download |
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| 6 | 4 | 6 | 1 | i c g s a | 1 | download |
| 6 | 5 | 2 | 1 | i c g s a | 1 | download |
| 6 | 5 | 3 | 1 | i c g s a | 3 | download |
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| 6 | 6 | 2 | 1 | i c g s a | 3 | download |
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| 6 | 7 | 4 | 1 | i c g s a | 2 | download |
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| 6 | 8 | 2 | 1 | i c g s a | 1 | download |
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| 6 | 8 | 5 | 1 | i c g s a | 3 | download |
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| 6 | 9 | 2 | 1 | i c g s a | 1 | download |
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| v | b | k | E | content type | # designs | |
| 6 | 10 | 2 | 1 | i c g s a | 2 | download |
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| 7 | 3 | 7 | 1 | i c g s a | 1 | download |
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| 7 | 6 | 4 | 1 | i c g s a | 1 | download |
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| 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 |
| 7 | 8 | 7 | 1 | i c g s a | 1 | download |
| 7 | 9 | 2 | 1 | i c g s a | 1 | download |
| 7 | 9 | 3 | 1 | i c g s a | 34 | download |
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| 8 | 3 | 4 | 1 | i c g s a | 1 | download |
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| v | b | k | E | content type | # designs | |
| 8 | 7 | 5 | 1 | i c g s a | 1 | download |
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| 8 | 8 | 4 | 1 | i c g s a | 11 | download |
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| 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 |
| 13 | 2 | 13 | 1 | i c g s a | 1 | download |
| 13 | 3 | 5 | 1 | i c g s a | 1 | download |
| 13 | 3 | 6 | 1 | i c g s a | 1 | download |
| 13 | 3 | 7 | 1 | i c g s a | 1 | download |
| 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 |
| 14 | 2 | 9 | 1 | i c g s a | 1 | download |
| 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