Table for CAN(5,k,9) for k up to 10000

Last Updated Sat Jul 28 12:53:06 MST 2018

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,9) 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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1059049orthogonal array
11110808extended OA (Colbourn)
141115374-Restricted SCPHF RE (CL)
151173693-Restricted SCPHF RE (CL)
16118089SCPHF Random Extension (CLS)
221705774-Restricted SCPHF RE (CL)
241764093-Restricted SCPHF RE (CL)
25177129SCPHF Random Extension (CLS)
332230654,4-Restricted SCPHF RE (CL)
362288974,3-restricted SCPHF RE (CL)
382347293,3-Restricted SCPHF RE (CL)
392353773,2-restricted SCPHF RE (CL)
512821054,4-Restricted SCPHF RE (CL)
552886574-Restricted SCPHF RE (CL)
602944893-Restricted SCPHF RE (CL)
612951372-Restricted SCPHF RE (CL)
62295209SCPHF Random Extension (CLS)
733345934,4,4-Restricted SCPHF RE (CL)
773411454,4-Restricted SCPHF RE (CL)
883476974-Restricted SCPHF RE (CL)
913535293-Restricted SCPHF RE (CL)
923541772-Restricted SCPHF RE (CL)
95354249SCPHF Random Extension (CLS)
1103936334,4,4-Restricted SCPHF RE (CL)
1184001854,4-Restricted SCPHF RE (CL)
1334067374-Restricted SCPHF RE (CL)
1474125693-Restricted SCPHF RE (CL)
1494132172-Restricted SCPHF RE (CL)
151413337CPHF Random Extension (CLS)
1674526734,4,4-Restricted SCPHF RE (CL)
1844592254,4-Restricted SCPHF RE (CL)
2144657774-Restricted SCPHF RE (CL)
2244716093-Restricted SCPHF RE (CL)
2294722572-Restricted SCPHF RE (CL)
231472385CPHF Random Extension (CLS)
2545117134,4,4-Restricted SCPHF RE (CL)
2835182654,4-Restricted SCPHF RE (CL)
3245248174-Restricted SCPHF RE (CL)
3535306493-Restricted SCPHF RE (CL)
3555312972-Restricted SCPHF RE (CL)
374531369SCPHF Random Extension (CLS)
4055707534,4,4-Restricted SCPHF RE (CL)
4455773054,4-Restricted SCPHF RE (CL)
4835838574-Restricted SCPHF RE (CL)
5425896893-Restricted SCPHF RE (CL)
5465903372-Restricted SCPHF RE (CL)
568590409SCPHF Random Extension (CLS)
6296297934,4,4-Restricted SCPHF RE (CL)
6906363454,4-Restricted SCPHF RE (CL)
7556428974-Restricted SCPHF RE (CL)
8186487293-Restricted SCPHF RE (CL)
819888417Add 1 factors
8201034217Add 2 factors
8211086705Add 3 factors
8271139193Add 9 factors
8281378881Add 9 factors
8291524681Add 9 factors
8301577673Add 9 factors
8361649817Add 9 factors
8501771224perfect hash family3,850,568
8551849272perfect hash family3,942,629T87
8591849920perfect hash family3,942,629T83
8811849992perfect hash family3,942,629T61
8851862376perfect hash family3,1032,689T147
8891863024perfect hash family3,1032,689T143
9111863096perfect hash family3,1032,689T121
9181875480perfect hash family3,1131,755T213
9221876128perfect hash family3,1131,755T209
9441876200perfect hash family3,1131,755T187
9491887144perfect hash family3,1224,817T275
9531887792perfect hash family3,1224,817T271
9751887864perfect hash family3,1224,817T249
10331909032perfect hash family3,1033,690
10661922136perfect hash family3,1131,755T65
11311928688perfect hash family3,1131,755
11621940352perfect hash family3,1224,817T62
12251946184perfect hash family3,1225,818
17652420024perfect hash family4,3125,625T272
17752420672perfect hash family4,3125,625T270
18702420744perfect hash family4,3125,625T251
20252460128perfect hash family4,3125,625T220
22252466680perfect hash family4,3125,625T180
24152473232perfect hash family4,3125,625T142
27102479064perfect hash family4,3125,625T83
27302479712perfect hash family4,3125,625T79
28402479784perfect hash family4,3125,625T57
31252519168perfect hash family4,3125,625
32452644560Power N-CT59^2T4
32462648448Power N-CT61^2Arc(2)T6
33002649096Power N-CT61^2T6T1
33552649744Power N-CT61^2T6
34822650392Power N-CT59^2+1
34832653632Power N-CT61^2Arc(4)
35412654280Power N-CT61^2Arc(3)
36002654928Power N-CT61^2T1T1
36602655576Power N-CT61^2T1
37212656224Power N-CT61^2
37222656872Power N-CT61^2+1
37822932488Power N-CT67^2T6T5
38442932560Power N-CT67^2T5T5
40152965392Power N-CT73^2T18
43802971224Power N-CT73^2T13
44532971872Power N-CT73^2T12
45262971944Power N-CT73^2T11
53293011328Power N-CT73^2
53333070296perfect hash family9,5333,77
54793103056Power N-CT79^2Trin2,2,6
57793109608Power N-CT79^2Trin2,2,2
58763110328Power N-CT89^2Arc(9)T16
60593116160Power N-CT83^2T10
61963116880Power N-CT89^2Arc(9)T12
63913122712Power N-CT83^2T6
69963123432Power N-CT89^2Arc(9)T2
71563129264Power N-CT89^2Arc(9)
72373135096Power N-CT89^2Arc(8)
73193140928Power N-CT89^2Arc(7)
74023146760Power N-CT89^2Arc(6)
74863152592Power N-CT89^2Arc(5)
75713158424Power N-CT89^2Arc(4)
76573164256Power N-CT89^2Arc(3)
77443170088Power N-CT89^2T1T1
78323175920Power N-CT89^2T1
79233181752Power N-CT89^2+2
79243187584Power N-CT89^2+3
79273188232perfect hash family9,7927,95
79353267000perfect hash family9,8536,96S7
80183306384perfect hash family9,8536,96S6
81023345768perfect hash family9,8536,96S5
81873385152perfect hash family9,8536,96S4
81883417984Power N-CT97^2Trin2,2,9
82003423744Power N-CT97^2Trin2,5,6
84673423816Power N-CT97^2Trin2,2,6
85603424464Power N-CT97^2Trin2,2,5
88393424536Power N-CT97^2Trin2,2,2
90253463920Power N-CT97^2T2T2
95923496752perfect hash family9,11881,109T21
99193502584perfect hash family9,11881,109T18
100003503232perfect hash family9,11881,109T17