Table for CAN(6,k,16) for k up to 10000

Last Updated Sat Sep 16 02:03:55 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;6,k,16) 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
1716777216orthogonal array
1824137567orthogonal array fuse
1939866207Add 1 factors
2047045875orthogonal array fuse fuse fuse
2249283056Quint-Restricted SCPHF RE (C)
2450266096Quad-Restricted SCPHF RE (C)
2550327536Tri-Restricted SCPHF RE (C)
2650331616SCPHF Random Extension (CLS)
3365011696Quint-Restricted SCPHF RE (C)
3566060256Quint-Restricted SCPHF RE (C)
4067108816SCPHF Random Extension (CLS)
4167108861CPHF Random Extension (CLS)
5181788896Quint-Restricted SCPHF RE (C)
5682837456Quint-Restricted SCPHF RE (C)
6683886016SCPHF Random Extension (CLS)
7397517536Quint-Restricted SCPHF RE (C)
8298566096Quint-Restricted SCPHF RE (C)
8999614656Quint-Restricted SCPHF RE (C)
96100663216SCPHF Random Extension (CLS)
99100663291CPHF Random Extension (CLS)
163117440416SCPHF Random Extension (CLS)
164117440506CPHF Random Extension (CLS)
236134217616SCPHF Random Extension (CLS)
268193100431SCPHF Random Extension (CLS) fuse
289268435440Power CT17^2
290346084080Add 1 factors
291383804400Add 2 factors
292414278640Add 3 factors
293430007280Add 4 factors
305445735920Add 16 factors
306484947440Add 17 factors
316536691664Martirosyan-TVT
512536870416perfect hash family32,512,16,c
513536870880perfect hash family32,513,17
514630244320Add 1 factors
530671088075perfect hash family5,530,236
536690525424Martirosyan-TVT
544765860433Martirosyan-TVT
545766217553Martirosyan-TVT variant
546766574673Martirosyan-TVT
547779942385Martirosyan-TVT variant
577795973521Martirosyan-TVT variant
578805032529Martirosyan-TVT
600805179120Power CT25^2T1
625805240560Power CT25^2
639805305690perfect hash family6,639,236
641864188505perfect hash family6,651,237S5
649889192260Power N-CT41^2Arc(3)T24
664889192305Power N-CT41^2Arc(2)T24
680889192350Power N-CT41^2T24T1
697889192395Power N-CT41^2T24
703896552656Power N-CT41^2Arc(2)T23
720896552701Power N-CT41^2T23T1
738896552746Power N-CT41^2T23
742912281296Power N-CT41^2Arc(2)T22
760912281341Power N-CT41^2T22T1
779912281386Power N-CT41^2T22
781919460964Power N-CT41^2Arc(2)T21
800919461009Power N-CT41^2T21T1
820919461054Power N-CT41^2T21
825920645550Power N-CT41^2T16T8
840920649585Power N-CT41^2Trin1,8,15
858920649630Power N-CT41^2T15T8
875921694110Power N-CT41^2T16T6
890921698145Power N-CT41^2Trin1,6,15
910921698190Power N-CT41^2T15T6
915922681140Power N-CT41^2Arc(3)T17
937922681185Power N-CT41^2Arc(2)T17
960922681230Power N-CT41^2T17T1
984922681275Power N-CT41^2T17
1000922742670Power N-CT41^2T16T1
1025922742715Power N-CT41^2T16
1040922746750Power N-CT41^2T15T1
1066922746795Power N-CT41^2T15
1089935329710Power N-CT41^2T8T8
1128936378225Power N-CT41^2Trin1,6,8
1155936378270Power N-CT41^2T8T6
1170937426605Power N-CT41^2Arc(6)T8
1198937426650Power N-CT41^2Arc(5)T8
1227937426695Power N-CT41^2Arc(4)T8
1257937426740Power N-CT41^2Arc(3)T8
1288937426785Power N-CT41^2Arc(2)T8
1320937426830Power N-CT41^2T8T1
1353937426875Power N-CT41^2T8
1366938475345Power N-CT41^2Arc(2)T6
1400938475390Power N-CT41^2T6T1
1435938475435Power N-CT41^2T6
1450939523770Power N-CT41^2Arc(6)
1486939523815Power N-CT41^2Arc(5)
1523939523860Power N-CT41^2Arc(4)
1561939523905Power N-CT41^2Arc(3)
1600939523950Power N-CT41^2T1T1
1640939523995Power N-CT41^2T1
1681939524040Power N-CT41^2
16821065326280Add 1 factors
18801130364450Power N-CT47^2T7
19271130364495Power N-CT47^2T6
19641141898610Power N-CT53^2Trin2,2,13
20131141898655Power N-CT53^2Trin2,2,12
20401142947170Power N-CT53^2T13T2
20911142947215Power N-CT53^2T12T2
21201143995730Power N-CT53^2T13
21731143995775Power N-CT53^2T12
22131145044530perfect hash family14,2213,51
22401156578450Power N-CT59^2T19T3
22961156578495Power N-CT59^2T18T3
25031156578690Power N-CT53^2Trin2,2,2
26011157627250Power N-CT53^2T2T2
27031158675810Power N-CT53^2T2
28121159724370Power N-CT53^2+3
29771171258530Power N-CT59^2Trin3,3,3
31361172307090Power N-CT59^2T3T3
34161173355650Power N-CT61^2T5
37261174404210perfect hash family14,3726,66
37511201667250Power N-CT67^2Arc(12)
38071215298770Power N-CT67^2Arc(11)
39431226833395Power N-CT73^2Trin7,7,7
43561240464915Power N-CT73^2T7T7
48181254096435Power N-CT73^2T7
52141266679155Power N-CT79^2T13
53291267727955Power N-CT73^2
53471277164755Power N-CT83^2Arc(2)T17
54121278213315Power N-CT83^2T17T1
58741279261875Power N-CT89^2T23
62441281359235Power N-CT79^2+3
62531286602035Power N-CT83^2Arc(8)
63291287650595Power N-CT83^2Arc(7)
64061288699155Power N-CT83^2Arc(6)
64841289747715Power N-CT83^2Arc(5)
65631290796275Power N-CT83^2Arc(4)
66431291844835Power N-CT83^2Arc(3)
67241292893395Power N-CT83^2T1T1
72981293941955Power N-CT89^2T7
79211294990515Power N-CT89^2
79541306525575Power N-CT97^2T15
80311307573610Power N-CT97^2Arc(7)T8
81141307573685Power N-CT97^2Arc(6)T8
81981307573760Power N-CT97^2Arc(5)T8
82831307573835Power N-CT97^2Arc(4)T8
83691307573910Power N-CT97^2Arc(3)T8
84561307573985Power N-CT97^2Arc(2)T8
85441307574060Power N-CT97^2T8T1
86331307574135Power N-CT97^2T8
86611308622170Power N-CT97^2Arc(8)
87511308622245Power N-CT97^2Arc(7)
88421308622320Power N-CT97^2Arc(6)
89341308622395Power N-CT97^2Arc(5)
90271308622470Power N-CT97^2Arc(4)
91211308622545Power N-CT97^2Arc(3)
92161308622620Power N-CT97^2T1T1
93121308622695Power N-CT97^2T1
94111308622770Power N-CT97^2+2
96071476394020Power N-CT101^2Trin2,2,2
98011493171145Power N-CT101^2T2T2
100001508899635perfect hash family13,12769,113T24
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