Dataset Open Access

Enumeration of complex Golay pairs

Curtis Bright; Ilias Kotsireas; Albert Heinle; Vijay Ganesh

These files contain an enumeration of complex Golay pairs of lengths up to 28.  The method of generation is described in the paper "Enumeration of Complex Golay Pairs via Programmatic SAT" by Bright, Kotsireas, Heinle, and Ganesh, presented at ISSAC 2018, the International Symposium on Symbolic and Algebraic Computation.

The .all files contain every complex Golay pair in the given length, the .seqs files contain all individual sequences which occur in those pairs, and the .inequiv files contain only the complex Golay pairs up to an equivalence which is given in the above paper.  Every line in each file contains exactly one complex Golay pair or sequence, with spaces separating the members of the pairs. The sequence entries are encoded using the characters + for 1, - for −1, i for i, and j for −i.

A table with the sequence counts in each file is also available.

Files (58.8 MB)
Name Size
01.all
md5:83ea24a5572fc61566e30efa45289380
64 Bytes Download
01.inequiv
md5:8ef32056e74261fa8e5ee3b8670f81de
4 Bytes Download
01.seqs
md5:2190ad23adcdf3d4525c34ca2700276e
8 Bytes Download
02.all
md5:42d336dddfb4bd73a79bf27b14e4095d
384 Bytes Download
02.inequiv
md5:313a5eb57a34b4418eced6f4999c0750
6 Bytes Download
02.seqs
md5:330542362ca5abe8ddad0ab277be64f3
48 Bytes Download
03.all
md5:7f67a4ec37eda98d58b86562f82914f8
1.0 kB Download
03.inequiv
md5:83515f437c217c48b6d21b4fb6538329
8 Bytes Download
03.seqs
md5:849781ff69569c3f5ce5bedd19bc8c93
64 Bytes Download
04.all
md5:3342797298fb6857c59ed3f4a0be19f7
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04.inequiv
md5:ee3afe766ec9e9a03a390766c40d0f09
20 Bytes Download
04.seqs
md5:7a9c3d5bb4ca5107fdeeb829847aab10
320 Bytes Download
05.all
md5:ce1c9c0c14e140256341f96ada78e990
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05.inequiv
md5:05b0df322d106750102619815a1595f0
12 Bytes Download
05.seqs
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384 Bytes Download
06.all
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06.inequiv
md5:ddc59ec2f73f5fbdb3fa7f25aef16331
42 Bytes Download
06.seqs
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08.all
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08.inequiv
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306 Bytes Download
08.seqs
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10.all
md5:cf02086bbee1037cd8d1fb023b3bf049
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10.inequiv
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440 Bytes Download
10.seqs
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11.all
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11.inequiv
md5:d6dc2a7f66380c879d863315d8f9c3a2
24 Bytes Download
11.seqs
md5:d59b450d36b984c57cf48850e7390905
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12.all
md5:e884b1b05219fbe19aa21a58b6b9e671
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12.inequiv
md5:127ba8e8882cd8fc42922d07e8203553
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12.seqs
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13.all
md5:7555a79422f34c92183592134e0033c3
14.3 kB Download
13.inequiv
md5:eb68aabb3f7d109709bcf1f70739baef
28 Bytes Download
13.seqs
md5:15744e2bec608e6c1786e4df68ec3603
896 Bytes Download
16.all
md5:85af162b7d2ee723a9ce80f8c2385425
3.6 MB Download
16.inequiv
md5:5e2a97001b281cbea7321ed3fe3ab9e5
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16.seqs
md5:dd19ef0de00a7fb81d74bae25f0be5ef
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18.all
md5:e5831964a6f3429c2245e0d92d9448d6
933.9 kB Download
18.inequiv
md5:fc24234c2adf46ece1065a654067a3e8
912 Bytes Download
18.seqs
md5:8885b2589f6306865ff0a4fe0690db6f
58.4 kB Download
20.all
md5:ea80bb5fa97b73f35c9b864d4dedee43
9.0 MB Download
20.inequiv
md5:3b577ec353ecabb8c6537635a40ffc36
14.3 kB Download
20.seqs
md5:3c27491a5743245b62285c98075111bf
564.5 kB Download
22.all
md5:37ae5b13ee0441fa0c9be8da949f0616
376.8 kB Download
22.inequiv
md5:863425a63579b523e0a491703a706bf7
552 Bytes Download
22.seqs
md5:a2e273250f1bf7ca38bcc88fd4afe3a1
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24.all
md5:5ec4757519a5e4ac386f49a8af6e293e
39.3 MB Download
24.inequiv
md5:051ae2131ed980720df7cbdc008d3e9b
52.8 kB Download
24.seqs
md5:29d3d36cf0fc7722afd68aff8fb73c5d
2.5 MB Download
26.all
md5:d928d259062698902538ba4b0d496598
553.0 kB Download
26.inequiv
md5:6af861b72874e9def8786e7e9f9ff575
864 Bytes Download
26.seqs
md5:a3eec2cae963a55438429ce94bccd5c6
34.6 kB Download
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