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

Last Updated Wed Feb 21 10:43:32 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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kNSource
1059049orthogonal array
11110808extended OA (Colbourn)
131115374-Restricted SCPHF RE (CL)
151173693-Restricted SCPHF RE (CL)
16118089SCPHF Random Extension (CLS)
221705774-Restricted SCPHF RE (CL)
231764093-Restricted SCPHF RE (CL)
25177129SCPHF Random Extension (CLS)
322230654-Restricted SCPHF RE (CL)
342296174-Restricted SCPHF RE (CL)
382354493-Restricted SCPHF RE (CL)
39236193CPHF Random Extension (CLS)
482821054-Restricted SCPHF RE (CL)
522886574-Restricted SCPHF RE (CL)
562944893-Restricted SCPHF RE (CL)
582951372-Restricted SCPHF RE (CL)
60295209SCPHF Random Extension (CLS)
673345934-Restricted SCPHF RE (CL)
763411454-Restricted SCPHF RE (CL)
843476974-Restricted SCPHF RE (CL)
893535293-Restricted SCPHF RE (CL)
913541772-Restricted SCPHF RE (CL)
92354249SCPHF Random Extension (CLS)
95354289CPHF Random Extension (CLS)
1033936334-Restricted SCPHF RE (CL)
1154001854-Restricted SCPHF RE (CL)
1324067374-Restricted SCPHF RE (CL)
1404125693-Restricted SCPHF RE (CL)
1424132172-Restricted SCPHF RE (CL)
143413337CPHF Random Extension (CLS)
1644526734-Restricted SCPHF RE (CL)
1814592254-Restricted SCPHF RE (CL)
2104657774-Restricted SCPHF RE (CL)
2224716093-Restricted SCPHF RE (CL)
2294722572-Restricted SCPHF RE (CL)
231472385CPHF Random Extension (CLS)
2535117134-Restricted SCPHF RE (CL)
2805182654-Restricted SCPHF RE (CL)
3245248174-Restricted SCPHF RE (CL)
3535306493-Restricted SCPHF RE (CL)
3545312972-Restricted SCPHF RE (CL)
374531369SCPHF Random Extension (CLS)
4045707534-Restricted SCPHF RE (CL)
4445773054-Restricted SCPHF RE (CL)
4835838574-Restricted SCPHF RE (CL)
5425896893-Restricted SCPHF RE (CL)
5465903372-Restricted SCPHF RE (CL)
568590409SCPHF Random Extension (CLS)
6296297934-Restricted SCPHF RE (CL)
6586363454-Restricted SCPHF RE (CL)
673649449SCPHF Random Extension (CLS)
674888561Add 1 factors
6751034361Add 2 factors
6761086849Add 3 factors
6821139337Add 9 factors
6831378449Add 9 factors
6841524249Add 9 factors
6851576737Add 9 factors
7281610407SCPHF Random Extension (CLS) fuse fuse
7521763232perfect hash family3,810,541T58
7541764528perfect hash family3,816,545T62
7651764672perfect hash family3,849,567T84
8111769064perfect hash family3,811,542
8131770360perfect hash family3,816,545T3
8241770504perfect hash family3,849,567T25
8281771152perfect hash family3,849,567T21
8501771224perfect hash family3,850,568
8551849272perfect hash family3,942,629T87
8591849920perfect hash family3,942,629T83
8811849992perfect hash family3,942,629T61
8951863096perfect hash family3,984,657T89
9031889304perfect hash family3,1008,673T105
9421889376perfect hash family3,942,629
9561902480perfect hash family3,984,657T28
9851909032perfect hash family3,985,658
9931935240perfect hash family3,1008,673T15
10081948344perfect hash family3,1008,673
10842054690Martirosyan-Colbourn
10922055338Martirosyan-Colbourn
11122055410Martirosyan-Colbourn
11362061170Martirosyan-Colbourn
11922100554Martirosyan-Colbourn
12582106314Martirosyan-Colbourn
13162112866Martirosyan-Colbourn
13462125970Martirosyan-Colbourn
13582352920perfect hash family4,1372,490T7
13702354480Power N-CT37^2+1
14242358752perfect hash family4,1424,542
14282361344perfect hash family4,1428,546
14502361632perfect hash family4,1450,568
16202414192perfect hash family4,3125,625T301
17652420024perfect hash family4,3125,625T272
17702420672perfect hash family4,3125,625T271
18702420744perfect hash family4,3125,625T251
20202460128perfect hash family4,3125,625T221
22202466680perfect hash family4,3125,625T181
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
31362655432Power N-CT59^2T3T3
31392655936Power N-CT59^2Arc(3)T3
31932656008Power N-CT59^2Arc(2)T3
32482656080Power N-CT59^2T3T1
33042656152Power N-CT59^2T3
33072656656Power N-CT59^2Arc(3)
33642656728Power N-CT59^2T1T1
34222656800Power N-CT59^2T1
34822656872Power N-CT59^2+1
34832853792Power N-CT61^2Arc(4)
35412893176Power N-CT61^2Arc(3)
36002932560Power N-CT61^2T1T1
37522971224Power N-CT67^2T11
38862971872Power N-CT67^2T9
40202971944Power N-CT67^2T7
44893011328Power N-CT67^2
48913063744Power N-CT73^2T6
53323070296Power N-CT73^2+3
55573109608Power N-CT79^2Trin3,3,3
57763116160Power N-CT79^2T3T3
63083122712Power N-CT83^2T7
68903129264Power N-CT83^2+1
70563170088Power N-CT89^2T5T5
74763175920Power N-CT89^2T5
79213181752Power N-CT89^2
79233187584Power N-CT89^2+2
79243188232Power N-CT89^2+3
79273188592perfect hash family9,7927,95
79353267280perfect hash family9,8536,96S7
80183306624perfect hash family9,8536,96S6
81023345968perfect hash family9,8536,96S5
81873385312perfect hash family9,8536,96S4
82813423896Power N-CT97^2Trin2,2,8
84673424544Power N-CT97^2Trin2,2,6
85603424616Power N-CT97^2Trin2,2,5
88393424656Power N-CT97^2Trin2,2,2
90253464000Power N-CT97^2T2T2
91673502584perfect hash family9,10609,103T14
93733503232perfect hash family9,10609,103T12
94763503304perfect hash family9,10609,103T11
97853503344perfect hash family9,10609,103T8
100003542688Power N-CT101^2
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