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

Last Updated Tue Mar 8 20:11:31 MST 2022

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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kNSource
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)
26177145CPHF IPO 3 (WCS)
332230654,4-Restricted SCPHF RE (CL)
362288974,3-restricted SCPHF RE (CL)
382347293,3-Restricted SCPHF RE (CL)
392353773,2-restricted SCPHF RE (CL)
43236193CPHF IPO 4 (WCS)
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)
70295241CPHF IPO 5 (WCS)
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)
115354289CPHF IPO 6 (WCS)
1184001854,4-Restricted SCPHF RE (CL)
1334067374-Restricted SCPHF RE (CL)
1474125693-Restricted SCPHF RE (CL)
1494132172-Restricted SCPHF RE (CL)
187413337CPHF IPO 7 (WCS)
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
8361644633Add 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
12582060042Martirosyan-Colbourn
13442066594Martirosyan-Colbourn
13802112290Martirosyan-Colbourn
14192112600Power N-CT43^2T10
15482118432Power N-CT43^2T7
16342124264Power N-CT43^2T5
16772124912Power N-CT43^2T4
18492125728Power N-CT43^2
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
31982604672Power N-CT71^2Arc(9)T20
34462611224Power N-CT71^2Arc(9)T16
37562617056Power N-CT71^2Arc(9)T11
38182617704Power N-CT71^2Arc(9)T10
38802617776Power N-CT71^2Arc(9)T9
43142617808Power N-CT71^2Arc(9)T2
44922657160Power N-CT67^2+3
45012696512Power N-CT71^2Arc(8)
45652735864Power N-CT71^2Arc(7)
46302775216Power N-CT71^2Arc(6)
46962814568Power N-CT71^2Arc(5)
47632853920Power N-CT71^2Arc(4)
48312893272Power N-CT71^2Arc(3)
49002932624Power N-CT71^2T1T1
51102971976Power N-CT73^2T3
53293011328Power N-CT73^2
53903070256Power N-CT79^2T9T2
56363070976Power N-CT89^2Arc(9)T19
58103076808Power N-CT83^2T13
58253088472Power N-CT89^2Arc(6)T19
58903094304Power N-CT89^2Arc(5)T19
59563100136Power N-CT89^2Arc(4)T19
60233105968Power N-CT89^2Arc(3)T19
60913111800Power N-CT89^2Arc(2)T19
61963116880Power N-CT89^2Arc(9)T12
63913122712Power N-CT83^2T6
69963123432Power N-CT89^2Arc(9)T2
71563129264Power N-CT89^2Arc(9)
79103129544perfect hash family9,12769,113T43
82493168896perfect hash family9,12769,113T40
87013175448perfect hash family9,12769,113T36
99443182000perfect hash family9,12769,113T25
100003187832perfect hash family9,12769,113T22
 Graph: