Table for CAN(6,k,14) 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,14) 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
77529536composition
88724225Augment OA
99383502Augment OA
1010083278Augment OA
1110822128Augment OA
1211598564Augment OA
1312407628Augment OA
1413241592Augment OA
1716777212orthogonal array fuse fuse
1824137563orthogonal array fuse fuse fuse
1936041819Add 1 factors
2046266943Add 2 factors
22492830525-Restricted SCPHF RE (CL) fuse fuse
25502660924-Restricted SCPHF RE (CL) fuse fuse
2650331612SCPHF Random Extension (CLS) fuse fuse
2850331642CPHF IPO 3 (WCS) fuse fuse
33650116925,5-Restricted SCPHF RE (CL) fuse fuse
35660602525-Restricted SCPHF RE (CL) fuse fuse
39670432924-Restricted SCPHF RE (CL) fuse fuse
4067108812SCPHF Random Extension (CLS) fuse fuse
4667108857CPHF IPO 4 (WCS) fuse fuse
51817888925,5-Restricted SCPHF RE (CL) fuse fuse
56828374525-Restricted SCPHF RE (CL) fuse fuse
58838204924-Restricted SCPHF RE (CL) fuse fuse
63838819323-Restricted SCPHF RE (CL) fuse fuse
64838857722-Restricted SCPHF RE (CL) fuse fuse
6683886012SCPHF Random Extension (CLS) fuse fuse
73975175325,5,5-Restricted SCPHF RE (CL) fuse fuse
82985660925,5-Restricted SCPHF RE (CL) fuse fuse
89996146525-Restricted SCPHF RE (CL) fuse fuse
981005976924-Restricted SCPHF RE (CL) fuse fuse
1031006591323-Restricted SCPHF RE (CL) fuse fuse
1041006629722-Restricted SCPHF RE (CL) fuse fuse
1131142947325,5,5-Restricted SCPHF RE (CL) fuse fuse
1271153432925,5-Restricted SCPHF RE (CL) fuse fuse
1411163918525-Restricted SCPHF RE (CL) fuse fuse
1501173748924-Restricted SCPHF RE (CL) fuse fuse
1561174363323-Restricted SCPHF RE (CL) fuse fuse
1591174401722-Restricted SCPHF RE (CL) fuse fuse
163117440412SCPHF Random Extension (CLS) fuse fuse
164117440502CPHF Random Extension (CLS) fuse fuse
236134217612SCPHF Random Extension (CLS) fuse fuse
237189401468Add 1 factors
268193100427SCPHF Random Extension (CLS) fuse fuse fuse
269251457999Add 1 factors
289268435376Power CT17^2
290327274520Add 1 factors
291352293332Add 2 factors
292383165614Add 3 factors
294390577239Add 5 factors
295398899311Add 6 factors
305441115376Add 16 factors
306478888304Add 17 factors
312484579536Martirosyan-TVT
313484684416Martirosyan-TVT variant
316485309160Martirosyan-TVT
317485429430Martirosyan-TVT variant
318485549700Martirosyan-TVT
326485549940Martirosyan-TVT
328485550030Martirosyan-TVT
330502327140Martirosyan-TVT
339503178900Martirosyan-TVT variant
341505275996Martirosyan-TVT variant
370505800270Martirosyan-TVT
372506598990Martirosyan-TVT
373518810336Martirosyan-TVT variant
374531021682Martirosyan-TVT
384531692104perfect hash family32,512,16T4
416532501168perfect hash family32,512,16T3
448533335132perfect hash family32,512,16T2
512536870412perfect hash family32,512,16,c fuse fuse
513536870752perfect hash family32,513,17
514606935656Add 1 factors
515638469704Add 2 factors
536644348268Martirosyan-TVT
538702705840Martirosyan-TVT
544719683217Martirosyan-TVT
545720881855Martirosyan-TVT variant
546722727077Martirosyan-TVT
547735957269Martirosyan-TVT variant
550751798917Martirosyan-TVT
551751955765Martirosyan-TVT variant
568752112869Martirosyan-TVT
578752964629Martirosyan-TVT
625804257456Power CT25^2
626805240646Power CT27^2Arc(2)T2
650805240676Power CT27^2T2T1
675805240706Power CT27^2T2
676805306196Power CT27^2T1T1
702805306226Power CT27^2T1
730805306256Power CT27^2+1
731876768920Add 1 factors
774896552690Power N-CT43^2T25
784905969554Power N-CT41^2T13T13
817908456946Power N-CT43^2T24
860918682070Power N-CT43^2T23
884920584039Power N-CT41^2Trin2,8,13
904920649559Power N-CT41^2Trin1,8,13
924920649604Power N-CT41^2T13T8
936921632599Power N-CT41^2Trin2,6,13
958921698119Power N-CT41^2Trin1,6,13
980921698164Power N-CT41^2T13T6
1040922615639Power N-CT41^2Trin2,2,13
1066922681159Power N-CT41^2Trin1,2,13
1092922681204Power N-CT41^2T13T2
1093922746679Power N-CT41^2Arc(2)T13
1120922746724Power N-CT41^2T13T1
1204922746769Power N-CT43^2T15
1225937295689Power N-CT41^2Trin2,2,8
1256937361209Power N-CT41^2Trin1,2,8
1287937361254Power N-CT41^2T8T2
1288937426729Power N-CT41^2Arc(2)T8
1320937426774Power N-CT41^2T8T1
1419937426819Power N-CT43^2T10
1505938475379Power N-CT43^2T8
1521939392854Power N-CT41^2T2T2
1522939458329Power N-CT41^2Arc(2)T2
1560939458374Power N-CT41^2T2T1
1677939458419Power N-CT43^2T4
1720939523939Power N-CT43^2T3
1852939523984Power N-CT43^2+3
18611027604194Power N-CT47^2Arc(8)
19011042284229Power N-CT47^2Arc(7)
19421056964264Power N-CT47^2Arc(6)
19841071644299Power N-CT47^2Arc(5)
20271086324334Power N-CT47^2Arc(4)
20711101004369Power N-CT47^2Arc(3)
21161115684404Power N-CT47^2T1T1
21621130364439Power N-CT47^2T1
22581141898599Power N-CT53^2Trin2,2,7
23461142947159Power N-CT53^2T7T2
24381143995719Power N-CT53^2T7
24471155484999Power N-CT59^2Trin3,3,13
25331156468039Power N-CT59^2Trin1,3,13
25761156529479Power N-CT59^2T13T3
25791157389639Power N-CT59^2Arc(3)T13
26231157451079Power N-CT59^2Arc(2)T13
26681157512519Power N-CT59^2T13T1
28061157573959Power N-CT61^2T15
28121159724314Power N-CT53^2+3
28561171209514Power N-CT59^2T8T3
29771171213594Power N-CT59^2Trin3,3,3
30831172196634Power N-CT59^2Trin1,3,3
31111172253994Power N-CT61^2T10
31361172258074Power N-CT59^2T3T3
31391173118234Power N-CT59^2Arc(3)T3
31931173179674Power N-CT59^2Arc(2)T3
32481173241114Power N-CT59^2T3T1
34161173302554Power N-CT61^2T5
35381174285594Power N-CT61^2T3
37231174347034Power N-CT61^2+2
37241174400794Power N-CT61^2+3
37261174404154perfect hash family14,3726,66
37511201667194Power N-CT67^2Arc(12)
38071215298714Power N-CT67^2Arc(11)
38251226833103Power N-CT73^2Trin7,7,9
39431226833343Power N-CT73^2Trin7,7,7
39691240456703Power N-CT73^2T10T10
40321240460543Power N-CT73^2T10T9
41581240460783Power N-CT73^2T10T7
42241240464623Power N-CT73^2T9T7
43561240464863Power N-CT73^2T7T7
45991254092303Power N-CT73^2T10
46721254096143Power N-CT73^2T9
48181254096383Power N-CT73^2T7
49771266675023Power N-CT79^2T16
50561266678863Power N-CT79^2T15
52141266679103Power N-CT79^2T13
53291267727903Power N-CT73^2
53471277164703Power N-CT83^2Arc(2)T17
54121278213263Power N-CT83^2T17T1
56071279257743Power N-CT89^2T26
56961279261583Power N-CT89^2T25
58741279261823Power N-CT89^2T23
62441281359183Power N-CT79^2+3
62531286601983Power N-CT83^2Arc(8)
63291287650543Power N-CT83^2Arc(7)
64061288699103Power N-CT83^2Arc(6)
64841289747663Power N-CT83^2Arc(5)
65631290796223Power N-CT83^2Arc(4)
65921291795343perfect hash family13,10609,103T39
67981291795583perfect hash family13,10609,103T37
72981293941903Power N-CT89^2T7
79211294990463Power N-CT89^2
79541305738383Power N-CT97^2T15
80361306414223Power N-CT101^2T19T3
84461306475663perfect hash family13,10609,103T21
86331306786943Power N-CT97^2T8
87221307462783Power N-CT101^2T12T3
91671307524223perfect hash family13,10609,103T14
94101307769983Power N-CT97^2+1
96041308445823Power N-CT101^2T3T3
100001308507263perfect hash family13,10609,103T5
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