A *partial linear space* is a binary block design with the property
that each pair of distinct points is contained in at most one block.
This page gives all the connected partial linear spaces (up to
isomorphism) with v>=2 points, b blocks,
constant replication number r>=1 and
constant block size k>=2, such that v<=14 if k>=3,
and v<=12 if k=2 (k=2 is the case of simple connected regular graphs).
The lists
of partial linear spaces 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** connected partial
linear spaces (up to isomorphism) with the given (v,b,r,k) are in that file.
All the designs on this page have been checked for resolvability, and for
each resolvable design at least one resolution is given (a resolution is
the same as a 1-factorization when k=2). Moreover, if k>2 or v<12
then equivalence class representatives of **all** the resolutions of
the designs are given.

**Number of files = 80**

v | b | r | k | PLS | content type | # designs | |
---|---|---|---|---|---|---|---|

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

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

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

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

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

4 | 6 | 3 | 2 | * |
i c g s a | 1 | download |

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

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

5 | 10 | 4 | 2 | * |
i c g s a | 1 | download |

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

6 | 4 | 2 | 3 | * |
i c g s a | 1 | download |

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

6 | 9 | 3 | 2 | * |
i c g s a | 2 | download |

v | b | r | k | PLS | content type | # designs | |

6 | 12 | 4 | 2 | * |
i c g s a | 1 | download |

6 | 15 | 5 | 2 | * |
i c g s a | 1 | download |

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

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

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

7 | 14 | 4 | 2 | * |
i c g s a | 2 | download |

7 | 21 | 6 | 2 | * |
i c g s a | 1 | download |

8 | 1 | 1 | 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 | 1 | download |

8 | 12 | 3 | 2 | * |
i c g s a | 5 | download |

8 | 16 | 4 | 2 | * |
i c g s a | 6 | download |

8 | 20 | 5 | 2 | * |
i c g s a | 3 | download |

v | b | r | k | PLS | content type | # designs | |

8 | 24 | 6 | 2 | * |
i c g s a | 1 | download |

8 | 28 | 7 | 2 | * |
i c g s a | 1 | download |

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

9 | 6 | 2 | 3 | * |
i c g s a | 2 | download |

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

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

9 | 12 | 4 | 3 | * |
i c g s a | 1 | download |

9 | 18 | 4 | 2 | * |
i c g s a | 16 | download |

9 | 27 | 6 | 2 | * |
i c g s a | 4 | download |

9 | 36 | 8 | 2 | * |
i c g s a | 1 | download |

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

10 | 5 | 2 | 4 | * |
i c g s a | 1 | download |

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

v | b | r | k | PLS | content type | # designs | |

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

10 | 15 | 3 | 2 | * |
i c g s a | 19 | download |

10 | 20 | 4 | 2 | * |
i c g s a | 59 | download |

10 | 25 | 5 | 2 | * |
i c g s a | 60 | download |

10 | 30 | 6 | 2 | * |
i c g s a | 21 | download |

10 | 35 | 7 | 2 | * |
i c g s a | 5 | download |

10 | 40 | 8 | 2 | * |
i c g s a | 1 | download |

10 | 45 | 9 | 2 | * |
i c g s a | 1 | download |

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

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

11 | 11 | 3 | 3 | * |
i c g s a | 31 | download |

11 | 22 | 4 | 2 | * |
i c g s a | 265 | download |

11 | 33 | 6 | 2 | * |
i c g s a | 266 | download |

v | b | r | k | PLS | content type | # designs | |

11 | 44 | 8 | 2 | * |
i c g s a | 6 | download |

11 | 55 | 10 | 2 | * |
i c g s a | 1 | download |

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

12 | 6 | 2 | 4 | * |
i c g s a | 1 | download |

12 | 8 | 2 | 3 | * |
i c g s a | 5 | download |

12 | 9 | 3 | 4 | * |
i c g s a | 1 | download |

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

12 | 12 | 3 | 3 | * |
i c g s a | 229 | download |

12 | 16 | 4 | 3 | * |
i c g s a | 574 | download |

12 | 18 | 3 | 2 | * |
i c g s a | 85 | download |

12 | 20 | 5 | 3 | * |
i c g s a | 5 | download |

12 | 24 | 4 | 2 | * |
i c g s a | 1544 | download |

12 | 30 | 5 | 2 | * |
i c g s a | 7848 | download |

v | b | r | k | PLS | content type | # designs | |

12 | 36 | 6 | 2 | * |
i c g s a | 7849 | download |

12 | 42 | 7 | 2 | * |
i c g s a | 1547 | download |

12 | 48 | 8 | 2 | * |
i c g s a | 94 | download |

12 | 54 | 9 | 2 | * |
i c g s a | 9 | download |

12 | 60 | 10 | 2 | * |
i c g s a | 1 | download |

12 | 66 | 11 | 2 | * |
i c g s a | 1 | download |

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

13 | 13 | 3 | 3 | * |
i c g s a | 2036 | download |

13 | 13 | 4 | 4 | * |
i c g s a | 1 | download |

13 | 26 | 6 | 3 | * |
i c g s a | 2 | download |

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

14 | 7 | 2 | 4 | * |
i c g s a | 2 | download |

14 | 14 | 3 | 3 | * |
i c g s a | 21398 | download |

v | b | r | k | PLS | content type | # designs | |

14 | 14 | 4 | 4 | * |
i c g s a | 1 | download |

14 | 28 | 6 | 3 | * |
i c g s a | 787 | download |

Last updated: 2005-04-22 10:19:25.758890