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

Last Updated Sun Jul 29 04:37:25 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;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
22492830565-Restricted SCPHF RE (CL)
25502660964-Restricted SCPHF RE (CL)
2650331616SCPHF Random Extension (CLS)
33650116965,5-Restricted SCPHF RE (CL)
35660602565-Restricted SCPHF RE (CL)
39670432964-Restricted SCPHF RE (CL)
4067108816SCPHF Random Extension (CLS)
4167108861CPHF Random Extension (CLS)
51817888965,5-Restricted SCPHF RE (CL)
56828374565-Restricted SCPHF RE (CL)
58838204964-Restricted SCPHF RE (CL)
63838819363-Restricted SCPHF RE (CL)
64838857762-Restricted SCPHF RE (CL)
6683886016SCPHF Random Extension (CLS)
73975175365,5,5-Restricted SCPHF RE (CL)
82985660965,5-Restricted SCPHF RE (CL)
89996146565-Restricted SCPHF RE (CL)
981005976964-Restricted SCPHF RE (CL)
1031006591363-Restricted SCPHF RE (CL)
1041006629762-Restricted SCPHF RE (CL)
1131142947365,5,5-Restricted SCPHF RE (CL)
1271153432965,5-Restricted SCPHF RE (CL)
1411163918565-Restricted SCPHF RE (CL)
1501173748964-Restricted SCPHF RE (CL)
1561174363363-Restricted SCPHF RE (CL)
1591174401762-Restricted SCPHF RE (CL)
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
312536449504Martirosyan-TVT
314536453344Martirosyan-TVT
315536572384Martirosyan-TVT variant
316536691424Martirosyan-TVT
317536713744Martirosyan-TVT variant
318536736064Martirosyan-TVT
512536870416perfect hash family32,512,16,c
513536870880perfect hash family32,513,17
514630244320Add 1 factors
530671088075perfect hash family5,530,236
536688559824Martirosyan-TVT
544763894833Martirosyan-TVT
545764251953Martirosyan-TVT variant
546764609073Martirosyan-TVT
547777845729Martirosyan-TVT variant
550793693841Martirosyan-TVT
551793850753Martirosyan-TVT variant
568794007921Martirosyan-TVT
577794990721Martirosyan-TVT variant
578804049729Martirosyan-TVT
625804257520Power CT25^2
639805305690perfect hash family6,639,236
641864188505perfect hash family6,651,237S5
648889126785Power N-CT41^2Trin1,2,24
663889126830Power N-CT41^2T24T2
664889192305Power N-CT41^2Arc(2)T24
680889192350Power N-CT41^2T24T1
697889192395Power N-CT41^2T24
702896487181Power N-CT41^2T23T2
703896552656Power N-CT41^2Arc(2)T23
720896552701Power N-CT41^2T23T1
738896552746Power N-CT41^2T23
741912215821Power N-CT41^2T22T2
742912281296Power N-CT41^2Arc(2)T22
760912281341Power N-CT41^2T22T1
779912281386Power N-CT41^2T22
780919395489Power N-CT41^2T21T2
781919460964Power N-CT41^2Arc(2)T21
800919461009Power N-CT41^2T21T1
820919461054Power N-CT41^2T21
822920584065Power N-CT41^2Trin2,8,15
825920584110Power N-CT41^2T16T8
840920649585Power N-CT41^2Trin1,8,15
858920649630Power N-CT41^2T15T8
870921632625Power N-CT41^2Trin2,6,15
875921632670Power N-CT41^2T16T6
890921698145Power N-CT41^2Trin1,6,15
910921698190Power N-CT41^2T15T6
929922550145Power N-CT41^2Trin2,2,16
966922615665Power N-CT41^2Trin2,2,15
975922615710Power N-CT41^2T16T2
990922681185Power N-CT41^2Trin1,2,15
1014922681230Power N-CT41^2T15T2
1025922681275Power N-CT41^2T16
1040922746750Power N-CT41^2T15T1
1066922746795Power N-CT41^2T15
1089935329710Power N-CT41^2T8T8
1101936312705Power N-CT41^2Trin2,6,8
1128936378225Power N-CT41^2Trin1,6,8
1155936378270Power N-CT41^2T8T6
1225937295745Power N-CT41^2Trin2,2,8
1256937361265Power N-CT41^2Trin1,2,8
1287937361310Power N-CT41^2T8T2
1288937426785Power N-CT41^2Arc(2)T8
1320937426830Power N-CT41^2T8T1
1353937426875Power N-CT41^2T8
1365938409870Power N-CT41^2T6T2
1366938475345Power N-CT41^2Arc(2)T6
1400938475390Power N-CT41^2T6T1
1435938475435Power N-CT41^2T6
1447939327345Power N-CT41^2Trin2,2,2
1484939392865Power N-CT41^2Trin1,2,2
1521939392910Power N-CT41^2T2T2
1522939458385Power N-CT41^2Arc(2)T2
1560939458430Power N-CT41^2T2T1
1599939458475Power N-CT41^2T2
1600939523950Power N-CT41^2T1T1
1640939523995Power N-CT41^2T1
1681939524040Power N-CT41^2
16821065326280Add 1 factors
18331130298930Power N-CT47^2T8
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
22581156468095Power N-CT59^2Trin1,3,18
22961156529535Power N-CT59^2T18T3
25031156578690Power N-CT53^2Trin2,2,2
26011157627250Power N-CT53^2T2T2
27031158675810Power N-CT53^2T2
28121159724370Power N-CT53^2+3
28561171209570Power N-CT59^2T8T3
29771171213650Power N-CT59^2Trin3,3,3
30831172196690Power N-CT59^2Trin1,3,3
31111172254050Power N-CT61^2T10
31361172258130Power N-CT59^2T3T3
31391173118290Power N-CT59^2Arc(3)T3
31931173179730Power N-CT59^2Arc(2)T3
32481173241170Power N-CT59^2T3T1
34161173302610Power N-CT61^2T5
35381174285650Power N-CT61^2T3
37231174347090Power N-CT61^2+2
37241174400850Power N-CT61^2+3
37261174404210perfect hash family14,3726,66
37511201667250Power N-CT67^2Arc(12)
38071215298770Power N-CT67^2Arc(11)
38251226833155Power N-CT73^2Trin7,7,9
39431226833395Power N-CT73^2Trin7,7,7
39691240456755Power N-CT73^2T10T10
40321240460595Power N-CT73^2T10T9
41581240460835Power N-CT73^2T10T7
42241240464675Power N-CT73^2T9T7
43561240464915Power N-CT73^2T7T7
45991254092355Power N-CT73^2T10
46721254096195Power N-CT73^2T9
48181254096435Power N-CT73^2T7
49771266675075Power N-CT79^2T16
50561266678915Power N-CT79^2T15
52141266679155Power N-CT79^2T13
53291267727955Power N-CT73^2
53471277164755Power N-CT83^2Arc(2)T17
54121278213315Power N-CT83^2T17T1
56071279257795Power N-CT89^2T26
56961279261635Power N-CT89^2T25
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)
65921291795395perfect hash family13,10609,103T39
67981291795635perfect hash family13,10609,103T37
72981293941955Power N-CT89^2T7
79211294990515Power N-CT89^2
79541305738435Power N-CT97^2T15
80361306414275Power N-CT101^2T19T3
84461306475715perfect hash family13,10609,103T21
86331306786995Power N-CT97^2T8
87221307462835Power N-CT101^2T12T3
91671307524275perfect hash family13,10609,103T14
94101307770035Power N-CT97^2+1
96041308445875Power N-CT101^2T3T3
100001308507315perfect hash family13,10609,103T5
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