Table for CAN(6,k,15) 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,15) 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
711390625composition
815080613Augment OA
1716777214orthogonal array fuse
1824137565orthogonal array fuse fuse
1937899705Add 1 factors
2047045873orthogonal array fuse fuse fuse fuse
22492830545-Restricted SCPHF RE (CL) fuse
25502660944-Restricted SCPHF RE (CL) fuse
2650331614SCPHF Random Extension (CLS) fuse
33650116945,5-Restricted SCPHF RE (CL) fuse
35660602545-Restricted SCPHF RE (CL) fuse
39670432944-Restricted SCPHF RE (CL) fuse
4067108814SCPHF Random Extension (CLS) fuse
4167108859CPHF Random Extension (CLS) fuse
51817888945,5-Restricted SCPHF RE (CL) fuse
56828374545-Restricted SCPHF RE (CL) fuse
58838204944-Restricted SCPHF RE (CL) fuse
63838819343-Restricted SCPHF RE (CL) fuse
64838857742-Restricted SCPHF RE (CL) fuse
6683886014SCPHF Random Extension (CLS) fuse
73975175345,5,5-Restricted SCPHF RE (CL) fuse
82985660945,5-Restricted SCPHF RE (CL) fuse
89996146545-Restricted SCPHF RE (CL) fuse
981005976944-Restricted SCPHF RE (CL) fuse
1031006591343-Restricted SCPHF RE (CL) fuse
1041006629742-Restricted SCPHF RE (CL) fuse
1131142947345,5,5-Restricted SCPHF RE (CL) fuse
1271153432945,5-Restricted SCPHF RE (CL) fuse
1411163918545-Restricted SCPHF RE (CL) fuse
1501173748944-Restricted SCPHF RE (CL) fuse
1561174363343-Restricted SCPHF RE (CL) fuse
1591174401742-Restricted SCPHF RE (CL) fuse
163117440414SCPHF Random Extension (CLS) fuse
164117440504CPHF Random Extension (CLS) fuse
236134217614SCPHF Random Extension (CLS) fuse
268193100429SCPHF Random Extension (CLS) fuse fuse
269260891369Add 1 factors
289268435408Power CT17^2
290336377548Add 1 factors
291367313698Add 2 factors
292389946448Add 3 factors
294418956651Add 5 factors
295433866676Add 6 factors
305443700208Add 16 factors
306482264944Add 17 factors
312518732878Martirosyan-TVT
314518736718Martirosyan-TVT
315518850478Martirosyan-TVT variant
316518964238Martirosyan-TVT
317518985568Martirosyan-TVT variant
318519006898Martirosyan-TVT
512536870414perfect hash family32,512,16,c fuse
513536870816perfect hash family32,513,17
514618572156Add 1 factors
515665403206Add 2 factors
536669049222Martirosyan-TVT
538736840162Martirosyan-TVT
544744384201Martirosyan-TVT
545744727641Martirosyan-TVT variant
546745718149Martirosyan-TVT
547758951573Martirosyan-TVT variant
550774796453Martirosyan-TVT
551774953333Martirosyan-TVT variant
557775110469Martirosyan-TVT variant
568775757537Martirosyan-TVT
578776674817Martirosyan-TVT
625804257488Power CT25^2
639805305678perfect hash family6,639,236
641864188493perfect hash family6,651,237S5
648889126757Power N-CT41^2Trin1,2,24
663889126802Power N-CT41^2T24T2
664889192277Power N-CT41^2Arc(2)T24
680889192322Power N-CT41^2T24T1
697889192367Power N-CT41^2T24
702896487153Power N-CT41^2T23T2
703896552628Power N-CT41^2Arc(2)T23
720896552673Power N-CT41^2T23T1
738896552718Power N-CT41^2T23
741910249293Power N-CT41^2T22T2
742910314768Power N-CT41^2Arc(2)T22
760910314813Power N-CT41^2T22T1
779910314858Power N-CT41^2T22
780919395461Power N-CT41^2T21T2
781919460936Power N-CT41^2Arc(2)T21
800919460981Power N-CT41^2T21T1
820919461026Power N-CT41^2T21
822920584037Power N-CT41^2Trin2,8,15
825920584082Power N-CT41^2T16T8
840920649557Power N-CT41^2Trin1,8,15
858920649602Power N-CT41^2T15T8
870921632597Power N-CT41^2Trin2,6,15
875921632642Power N-CT41^2T16T6
890921698117Power N-CT41^2Trin1,6,15
910921698162Power N-CT41^2T15T6
929922550117Power N-CT41^2Trin2,2,16
966922615637Power N-CT41^2Trin2,2,15
975922615682Power N-CT41^2T16T2
990922681157Power N-CT41^2Trin1,2,15
1014922681202Power N-CT41^2T15T2
1025922681247Power N-CT41^2T16
1040922746722Power N-CT41^2T15T1
1066922746767Power N-CT41^2T15
1089935329682Power N-CT41^2T8T8
1101936312677Power N-CT41^2Trin2,6,8
1128936378197Power N-CT41^2Trin1,6,8
1155936378242Power N-CT41^2T8T6
1225937295717Power N-CT41^2Trin2,2,8
1256937361237Power N-CT41^2Trin1,2,8
1287937361282Power N-CT41^2T8T2
1288937426757Power N-CT41^2Arc(2)T8
1320937426802Power N-CT41^2T8T1
1353937426847Power N-CT41^2T8
1365938409842Power N-CT41^2T6T2
1366938475317Power N-CT41^2Arc(2)T6
1400938475362Power N-CT41^2T6T1
1435938475407Power N-CT41^2T6
1447939327317Power N-CT41^2Trin2,2,2
1484939392837Power N-CT41^2Trin1,2,2
1521939392882Power N-CT41^2T2T2
1522939458357Power N-CT41^2Arc(2)T2
1560939458402Power N-CT41^2T2T1
1599939458447Power N-CT41^2T2
1600939523922Power N-CT41^2T1T1
1640939523967Power N-CT41^2T1
1681939524012Power N-CT41^2
16821049600552Add 1 factors
16831110190802Add 2 factors
18331130298902Power N-CT47^2T8
18801130364422Power N-CT47^2T7
19271130364467Power N-CT47^2T6
19641141898582Power N-CT53^2Trin2,2,13
20131141898627Power N-CT53^2Trin2,2,12
20401142947142Power N-CT53^2T13T2
20911142947187Power N-CT53^2T12T2
21201143995702Power N-CT53^2T13
21731143995747Power N-CT53^2T12
22131145044502perfect hash family14,2213,51
22581156468067Power N-CT59^2Trin1,3,18
22961156529507Power N-CT59^2T18T3
25031156578662Power N-CT53^2Trin2,2,2
26011157627222Power N-CT53^2T2T2
27031158675782Power N-CT53^2T2
28121159724342Power N-CT53^2+3
28561171209542Power N-CT59^2T8T3
29771171213622Power N-CT59^2Trin3,3,3
30831172196662Power N-CT59^2Trin1,3,3
31111172254022Power N-CT61^2T10
31361172258102Power N-CT59^2T3T3
31391173118262Power N-CT59^2Arc(3)T3
31931173179702Power N-CT59^2Arc(2)T3
32481173241142Power N-CT59^2T3T1
34161173302582Power N-CT61^2T5
35381174285622Power N-CT61^2T3
37231174347062Power N-CT61^2+2
37241174400822Power N-CT61^2+3
37261174404182perfect hash family14,3726,66
37511201667222Power N-CT67^2Arc(12)
38071215298742Power N-CT67^2Arc(11)
38251226833129Power N-CT73^2Trin7,7,9
39431226833369Power N-CT73^2Trin7,7,7
39691240456729Power N-CT73^2T10T10
40321240460569Power N-CT73^2T10T9
41581240460809Power N-CT73^2T10T7
42241240464649Power N-CT73^2T9T7
43561240464889Power N-CT73^2T7T7
45991254092329Power N-CT73^2T10
46721254096169Power N-CT73^2T9
48181254096409Power N-CT73^2T7
49771266675049Power N-CT79^2T16
50561266678889Power N-CT79^2T15
52141266679129Power N-CT79^2T13
53291267727929Power N-CT73^2
53471277164729Power N-CT83^2Arc(2)T17
54121278213289Power N-CT83^2T17T1
56071279257769Power N-CT89^2T26
56961279261609Power N-CT89^2T25
58741279261849Power N-CT89^2T23
62441281359209Power N-CT79^2+3
62531286602009Power N-CT83^2Arc(8)
63291287650569Power N-CT83^2Arc(7)
64061288699129Power N-CT83^2Arc(6)
64841289747689Power N-CT83^2Arc(5)
65631290796249Power N-CT83^2Arc(4)
65921291795369perfect hash family13,10609,103T39
67981291795609perfect hash family13,10609,103T37
72981293941929Power N-CT89^2T7
79211294990489Power N-CT89^2
79541305738409Power N-CT97^2T15
80361306414249Power N-CT101^2T19T3
84461306475689perfect hash family13,10609,103T21
86331306786969Power N-CT97^2T8
87221307462809Power N-CT101^2T12T3
91671307524249perfect hash family13,10609,103T14
94101307770009Power N-CT97^2+1
96041308445849Power N-CT101^2T3T3
100001308507289perfect hash family13,10609,103T5
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