Table for CAN(5,k,5) for k up to 10000

Last Updated Fri Sep 15 07:41:46 MST 2017

Locate the k in the first column that is at least as large as the number of factors in which you are interested. Then let N be the number of rows (tests) given in the second column. A CA(N;5,k,5) exists according to a construction in the reference (cryptically) given in the third column. The accompanying graph plots N vertically against log k (base 10).

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kNSource
63125orthogonal array
74375Ji-Li-Yin
85000Xu-Ji-Dong
105625Quad-Restricted SCPHF RE (C)
116125Tri-Restricted SCPHF RE (C)
126225Path-Restricted SCPHF RE (C)
158745Quad-Restricted SCPHF RE (C)
169245Tri-Restricted SCPHF RE (C)
179365SCPHF Random Extension (CLS)
1911245Quad-Restricted SCPHF RE (C)
2111865Quad-Restricted SCPHF RE (C)
2212365Tri-Restricted SCPHF RE (C)
2412485SCPHF Random Extension (CLS)
2614365Quad-Restricted SCPHF RE (C)
2914985Quad-Restricted SCPHF RE (C)
3015585Path-Restricted SCPHF RE (C)
3115605SCPHF Random Extension (CLS)
3416865Quad-Restricted SCPHF RE (C)
3717485Quad-Restricted SCPHF RE (C)
3918105Quad-Restricted SCPHF RE (C)
4218605Tri-Restricted SCPHF RE (C)
4318705Path-Restricted SCPHF RE (C)
4419985Quad-Restricted SCPHF RE (C)
5020605Quad-Restricted SCPHF RE (C)
5221225Quad-Restricted SCPHF RE (C)
5721725Tri-Restricted SCPHF RE (C)
5821825Path-Restricted SCPHF RE (C)
6123105Quad-Restricted SCPHF RE (C)
6423725Quad-Restricted SCPHF RE (C)
7024345Quad-Restricted SCPHF RE (C)
7724965SCPHF Random Extension (CLS)
7924993CPHF Random Extension (CLS)
8326225Quad-Restricted SCPHF RE (C)
8626845Quad-Restricted SCPHF RE (C)
9427465Quad-Restricted SCPHF RE (C)
9928085SCPHF Random Extension (CLS)
10128117CPHF Random Extension (CLS)
10729345Quad-Restricted SCPHF RE (C)
11629965Quad-Restricted SCPHF RE (C)
13030585Quad-Restricted SCPHF RE (C)
13531205SCPHF Random Extension (CLS)
13631241CPHF Random Extension (CLS)
14532465Quad-Restricted SCPHF RE (C)
15733085Quad-Restricted SCPHF RE (C)
17233705Quad-Restricted SCPHF RE (C)
18834325SCPHF Random Extension (CLS)
19034365CPHF Random Extension (CLS)
19535585Quad-Restricted SCPHF RE (C)
21436205Quad-Restricted SCPHF RE (C)
23436825Quad-Restricted SCPHF RE (C)
25137445SCPHF Random Extension (CLS)
25637489CPHF Random Extension (CLS)
34640565SCPHF Random Extension (CLS)
45843685SCPHF Random Extension (CLS)
60546805SCPHF Random Extension (CLS)
60662905Add 1 factors
60770905Add 2 factors
60873405Add 3 factors
61075905Add 5 factors
61192005Add 5 factors
61895170Martirosyan-Colbourn
69295650Martirosyan-Colbourn
70098770Martirosyan-Colbourn
77699250Martirosyan-Colbourn
87899730Martirosyan-Colbourn
91699874Martirosyan-Colbourn
930102994Martirosyan-Colbourn
952103890Martirosyan-Colbourn
984104370Martirosyan-Colbourn
1092104850Martirosyan-Colbourn
1202105330Martirosyan-Colbourn
1210105354Martirosyan-Colbourn
1212121454Martirosyan-Colbourn
1214129454Martirosyan-Colbourn
1216131954Martirosyan-Colbourn
1220134454Martirosyan-Colbourn
1222150554Martirosyan-Colbourn
1236153719Martirosyan-Colbourn
1278154199Martirosyan-Colbourn
1302154359Martirosyan-Colbourn
1384162445Martirosyan-Colbourn
1400165565Martirosyan-Colbourn
1443165816Power N-CT41^2T4T2
1447165936Power N-CT41^2Trin2,2,2
1517166316Power N-CT41^2T4
1521166436Power N-CT41^2T2T2
1599166936Power N-CT41^2T2
1682167436Power N-CT41^2+1
1683167936Power N-CT43^2Arc(4)
1723168036Power N-CT43^2Arc(3)
1764168136Power N-CT43^2T1T1
1806168236Power N-CT43^2T1
1849168336Power N-CT43^2
1850179856Power N-CT43^2+1
1892182916Power N-CT47^2T4T3
1974183436Power N-CT47^2T5
2021183536Power N-CT47^2T4
2068184816Power N-CT47^2T3
2212185436Power N-CT47^2+3
2236189896Power N-CT53^2Arc(9)T3
2278190396Power N-CT53^2Arc(8)T3
2280190516Power N-CT53^2Arc(9)T2
2321190896Power N-CT53^2Arc(7)T3
2368191016Power N-CT53^2Arc(9)
2413191516Power N-CT53^2Arc(8)
2459192016Power N-CT53^2Arc(7)
2506192516Power N-CT53^2Arc(6)
2554193016Power N-CT53^2Arc(5)
2603193516Power N-CT53^2Arc(4)
2653194016Power N-CT53^2Arc(3)
2704194516Power N-CT53^2T1T1
2756195016Power N-CT53^2T1
2886195036Power N-CT59^2Arc(9)T2
2935196316Power N-CT59^2Arc(8)T2
2986196416Power N-CT59^2Arc(9)
3037197696Power N-CT59^2Arc(8)
3089198976Power N-CT59^2Arc(7)
3142200256Power N-CT59^2Arc(6)
3196201536Power N-CT59^2Arc(5)
3251202816Power N-CT59^2Arc(4)
3307204096Power N-CT59^2Arc(3)
3364205376Power N-CT59^2T1T1
3477206556Power N-CT61^2T4
3538206656Power N-CT61^2T3
3721207936Power N-CT61^2
3724213516Power N-CT61^2+3
3819216476Power N-CT67^2T10
3886216576Power N-CT67^2T9
3913217236Power N-CT67^2Trin3,3,3
4096217856Power N-CT67^2T3T3
4314218476Power N-CT71^2Arc(9)T2
4492219096Power N-CT67^2+3
4501219716Power N-CT71^2Arc(8)
4565220336Power N-CT71^2Arc(7)
4630220956Power N-CT71^2Arc(6)
4696221576Power N-CT71^2Arc(5)
4763222196Power N-CT71^2Arc(4)
4831222816Power N-CT71^2Arc(3)
4900223436Power N-CT71^2T1T1
4928223632Power N-CT79^2T15T2
5056223660Power N-CT79^2T15
5110224056Power N-CT73^2T3
5254224224Power N-CT79^2Trin2,2,9
5390224252Power N-CT79^2T9T2
5530224280Power N-CT79^2T9
5779224844Power N-CT79^2Trin2,2,2
5929224872Power N-CT79^2T2T2
6083224900Power N-CT79^2T2
6241224928Power N-CT79^2
6391234756Power N-CT83^2T6
6557234784Power N-CT83^2T4
6889236016Power N-CT83^2
6892241596Power N-CT83^2+3
6898244696Power N-CT89^2Trin3,3,6
7031244704Power N-CT89^2T10
7147245316Power N-CT89^2Trin3,3,3
7396245936Power N-CT89^2T3T3
7654246556Power N-CT89^2T3
7926247176perfect hash family9,7926,94
7935248906Power CZ3-23.20-15.1
8096248942Power CZ3-23.19-16.1-22.1
8280249000Power CZ3-23.19-18.1-20.1
8303249107Power CZ3-23.19-19.1-19.1
8464249386Power CZ3-23.20-16.1
8740249453Power CZ3-23.19-19.1-20.1
9200249799Power CZ3-23.19-20.1-20.1
9660250281Power CZ3-23.19-20.1-21.1
10000250722Power CZ3-23.19-20.1-22.1
 Graph: