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

Last Updated Wed Mar 9 06:22:05 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;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)
2850331646CPHF IPO 3 (WCS)
33650116965,5-Restricted SCPHF RE (CL)
35660602565-Restricted SCPHF RE (CL)
39670432964-Restricted SCPHF RE (CL)
4067108816SCPHF Random Extension (CLS)
4667108861CPHF IPO 4 (WCS)
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
290346026480Add 1 factors
291383746800Add 2 factors
292414221040Add 3 factors
293429949680Add 4 factors
305445678320Add 16 factors
306484882160Add 17 factors
312536211424Martirosyan-TVT
313536334304Martirosyan-TVT variant
316536453344Martirosyan-TVT
317536594704Martirosyan-TVT variant
318536736064Martirosyan-TVT
326536736304Martirosyan-TVT
328536736394Martirosyan-TVT
512536870416perfect hash family32,512,16,c
513536870880perfect hash family32,513,17
514629265120Add 1 factors
530671088075perfect hash family5,530,236
536688559824Martirosyan-TVT
544763894833Martirosyan-TVT
545764132913Martirosyan-TVT variant
546764370993Martirosyan-TVT
547777607649Martirosyan-TVT variant
550793455761Martirosyan-TVT
551793612673Martirosyan-TVT variant
568793769841Martirosyan-TVT
577794752641Martirosyan-TVT variant
578803804929Martirosyan-TVT
625804257520Power CT25^2
626805240710Power CT27^2Arc(2)T2
650805240740Power CT27^2T2T1
675805240770Power CT27^2T2
676805306260Power CT27^2T1T1
702805306290Power CT27^2T1
730805306320Power CT27^2+1
731889192395Power N-CT43^2T26
774896552746Power N-CT43^2T25
784905969610Power N-CT41^2T13T13
817912281386Power N-CT43^2T24
860919461054Power N-CT43^2T23
884920584095Power N-CT41^2Trin2,8,13
904920649615Power N-CT41^2Trin1,8,13
924920649660Power N-CT41^2T13T8
936921632655Power N-CT41^2Trin2,6,13
958921698175Power N-CT41^2Trin1,6,13
980921698220Power N-CT41^2T13T6
1040922615695Power N-CT41^2Trin2,2,13
1066922681215Power N-CT41^2Trin1,2,13
1092922681260Power N-CT41^2T13T2
1093922746735Power N-CT41^2Arc(2)T13
1120922746780Power N-CT41^2T13T1
1204922746825Power N-CT43^2T15
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
1419937426875Power N-CT43^2T10
1505938475435Power N-CT43^2T8
1521939392910Power N-CT41^2T2T2
1522939458385Power N-CT41^2Arc(2)T2
1560939458430Power N-CT41^2T2T1
1677939458475Power N-CT43^2T4
1720939523995Power N-CT43^2T3
1852939524040Power N-CT43^2+3
18611027604250Power N-CT47^2Arc(8)
19011042284285Power N-CT47^2Arc(7)
19421056964320Power N-CT47^2Arc(6)
19841071644355Power N-CT47^2Arc(5)
20271086324390Power N-CT47^2Arc(4)
20711101004425Power N-CT47^2Arc(3)
21161115684460Power N-CT47^2T1T1
21621130364495Power N-CT47^2T1
22581141898655Power N-CT53^2Trin2,2,7
23461142947215Power N-CT53^2T7T2
24381143995775Power N-CT53^2T7
24471155485055Power N-CT59^2Trin3,3,13
25331156468095Power N-CT59^2Trin1,3,13
25761156529535Power N-CT59^2T13T3
25791157389695Power N-CT59^2Arc(3)T13
26231157451135Power N-CT59^2Arc(2)T13
26681157512575Power N-CT59^2T13T1
28061157574015Power N-CT61^2T15
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
 Graph: