Published September 18, 2025
| Version v1
Dataset
Open
Small Steiner 3-designs
Authors/Creators
-
1.
University of Bayreuth
-
2.
University of Zagreb
Description
This dataset contains the known Steiner 3-(v,k,1) designs with v<=50 and their extensions to Steiner 5-designs. Rotational Steiner quadruple systems of orders v=46 and v=92 are also included, as well as Steiner 2-designs with parameters 2-(40,4,1), 2-(41,5,1), 2-(45,5,1), and 2-(49,4,1). The designs were compiled in the study
- M. Kiermaier, V. Krčadinac, A. Wassermann, "Steiner 3-designs as extensions", preprint, 2025, https://arxiv.org/abs/2509.23483.
The files are gnu-zipped text files containig designs in a format compatible with the computer algebra system GAP and the DESIGN package. Each file named t-v-k-lambda.des.gz contains a list of t-(v,k,lambda) designs. An on-line table of the designs in this dataset is also available here.
Files
Files
(915.4 MB)
| Name | Size | |
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md5:fd1f5cd242fedfc7fe9aac6643542ce6
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1.4 MB | Download |
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md5:3e30df9a4e6a210ceaba7d8a1823c099
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7.2 kB | Download |
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md5:f03d46d8aeed8dced03cf7c485a2a367
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172.7 kB | Download |
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md5:d43d1346b595d69a4314fb3a8e9d3664
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7.6 MB | Download |
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md5:fd9aa29f3ad5fb9abafe42cbe55f0f39
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333 Bytes | Download |
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md5:9533b189aaee9356043142cf2e20f1fa
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1.4 kB | Download |
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md5:b70cb5ce13cdc6dd80f98c5fbd4ee7a9
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80.5 MB | Download |
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md5:985f4d2e9a5340f4a2d4460afb1bf449
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571 Bytes | Download |
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md5:a64fe86c33be30426278f196cf08053e
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22.6 MB | Download |
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md5:2ed31483c5fd018fa3d628d1d7a3f565
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34.6 MB | Download |
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md5:e79ce4a4d19c025e54d25ba0f05ca24c
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763 Bytes | Download |
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md5:aff04b9079fb41deed17ec80ac945265
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86.0 MB | Download |
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md5:0750aa9cbe8df4bcaa204cc962fe3444
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1.7 kB | Download |
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md5:37c758c30970939fd6779cdd31c79824
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1.2 kB | Download |
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md5:229b2ebdc441a86f12487832e4b9282d
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20.3 MB | Download |
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md5:003902067c69d40ac86822ffe73137ea
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3.2 MB | Download |
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md5:a8d32995cd7d6f7192e3eaf9b811a1bb
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4.4 MB | Download |
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md5:a7a6c1e855eb2f5e896504a0a8b160da
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13.0 MB | Download |
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md5:27ef49fde83932d3af1994980313d8dc
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15.4 MB | Download |
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md5:904dcdfb423e18df5898d847ff305db2
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4.1 kB | Download |
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md5:dc1642b09c90480f7f6b20d80866cfcd
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19.8 MB | Download |
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md5:ce1163cdfb8730438755959c6d255eb2
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23.7 MB | Download |
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md5:1eaa52662152fe34258412c6d7c27269
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30.2 MB | Download |
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md5:72a2aae07533d2da78f021d8aa07a287
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3.6 kB | Download |
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md5:960d59b8be0c64b4dc143138f0b93903
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252 Bytes | Download |
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md5:c153cd984233d544d7bcc71181c02d27
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741 Bytes | Download |
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md5:5f04af405b0e0e00e87cbae30825c82a
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83.6 kB | Download |
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md5:9223dbda6221aaec5cea154aa9b7a642
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4.8 kB | Download |
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md5:13201090226982d29a13bc32a44ba4ce
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23.2 kB | Download |
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md5:fde168709fd9d553c865a1cdc387599a
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249.2 kB | Download |
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md5:82852bfed2293aeafcdee4b912629105
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551.5 MB | Download |
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md5:74fc8fce12007d146a9d56acf5efaa83
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150.4 kB | Download |
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md5:291e37e6741cd6deba02fc5b8d3f23d9
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514.1 kB | Download |
Additional details
Related works
- Is supplement to
- Preprint: 10.48550/arXiv.2509.23483 (DOI)