v-b-r-k-PLS

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