Table for CAN(6,k,14) for k up to 10000

Last Updated Thu Jun 7 05:19:24 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,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
33650116925-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
4167108857CPHF Random Extension (CLS) fuse fuse
51817888925-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-Restricted SCPHF RE (CL) fuse fuse
82985660925-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-Restricted SCPHF RE (CL) fuse fuse
1271153432925-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
290327318200Add 1 factors
291352337012Add 2 factors
292383216014Add 3 factors
294390620919Add 5 factors
295398945631Add 6 factors
305441172976Add 16 factors
306478953584Add 17 factors
312484781616Martirosyan-TVT
313484785456Martirosyan-TVT variant
314485309160Martirosyan-TVT
315485410440Martirosyan-TVT variant
316485511720Martirosyan-TVT
317485530710Martirosyan-TVT variant
318485549700Martirosyan-TVT
319496613936Martirosyan-TVT variant
320507677932Martirosyan-TVT
321507684262Martirosyan-TVT variant
326507690592Martirosyan-TVT
328507690682Martirosyan-TVT
330524467792Martirosyan-TVT
339525319552Martirosyan-TVT variant
340527626512Martirosyan-TVT
341528627612Martirosyan-TVT variant
352530210152Martirosyan-TVT
353530216557Martirosyan-TVT variant
370530222962Martirosyan-TVT
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
514607678216Add 1 factors
515639212264Add 2 factors
536644348268Martirosyan-TVT
538702705840Martirosyan-TVT
544719683217Martirosyan-TVT
545720990575Martirosyan-TVT variant
546722944997Martirosyan-TVT
547736175189Martirosyan-TVT variant
550752016837Martirosyan-TVT
551752173685Martirosyan-TVT variant
568752330789Martirosyan-TVT
578753182549Martirosyan-TVT
625804257456Power CT25^2
639805305666perfect hash family6,639,236
641860489522perfect hash family6,651,237S5
648889126729Power N-CT41^2Trin1,2,24
663889126774Power N-CT41^2T24T2
664889192249Power N-CT41^2Arc(2)T24
680889192294Power N-CT41^2T24T1
697889192339Power N-CT41^2T24
702896487125Power N-CT41^2T23T2
703896552600Power N-CT41^2Arc(2)T23
720896552645Power N-CT41^2T23T1
738896552690Power N-CT41^2T23
741908391381Power N-CT41^2T22T2
742908456856Power N-CT41^2Arc(2)T22
760908456901Power N-CT41^2T22T1
779908456946Power N-CT41^2T22
780918616505Power N-CT41^2T21T2
781918681980Power N-CT41^2Arc(2)T21
800918682025Power N-CT41^2T21T1
820918682070Power N-CT41^2T21
822920584009Power N-CT41^2Trin2,8,15
825920584054Power N-CT41^2T16T8
840920649529Power N-CT41^2Trin1,8,15
858920649574Power N-CT41^2T15T8
870921632569Power N-CT41^2Trin2,6,15
875921632614Power N-CT41^2T16T6
890921698089Power N-CT41^2Trin1,6,15
910921698134Power N-CT41^2T15T6
929922550089Power N-CT41^2Trin2,2,16
966922615609Power N-CT41^2Trin2,2,15
975922615654Power N-CT41^2T16T2
990922681129Power N-CT41^2Trin1,2,15
1014922681174Power N-CT41^2T15T2
1025922681219Power N-CT41^2T16
1040922746694Power N-CT41^2T15T1
1066922746739Power N-CT41^2T15
1089935329654Power N-CT41^2T8T8
1101936312649Power N-CT41^2Trin2,6,8
1128936378169Power N-CT41^2Trin1,6,8
1155936378214Power N-CT41^2T8T6
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
1353937426819Power N-CT41^2T8
1365938409814Power N-CT41^2T6T2
1366938475289Power N-CT41^2Arc(2)T6
1400938475334Power N-CT41^2T6T1
1435938475379Power N-CT41^2T6
1447939327289Power N-CT41^2Trin2,2,2
1484939392809Power N-CT41^2Trin1,2,2
1521939392854Power N-CT41^2T2T2
1522939458329Power N-CT41^2Arc(2)T2
1560939458374Power N-CT41^2T2T1
1599939458419Power N-CT41^2T2
1600939523894Power N-CT41^2T1T1
1640939523939Power N-CT41^2T1
1681939523984Power N-CT41^2
16821034923288Add 1 factors
16831080733780Add 2 factors
16841127749742Add 3 factors
16861129246327Add 5 factors
18331130298874Power N-CT47^2T8
18801130364394Power N-CT47^2T7
19271130364439Power N-CT47^2T6
19641141898554Power N-CT53^2Trin2,2,13
20131141898599Power N-CT53^2Trin2,2,12
20401142947114Power N-CT53^2T13T2
20911142947159Power N-CT53^2T12T2
21201143995674Power N-CT53^2T13
21731143995719Power N-CT53^2T12
22131145044474perfect hash family14,2213,51
22581156468039Power N-CT59^2Trin1,3,18
22961156529479Power N-CT59^2T18T3
25031156578634Power N-CT53^2Trin2,2,2
26011157627194Power N-CT53^2T2T2
27031158675754Power N-CT53^2T2
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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