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

Last Updated Tue Nov 21 02:19:04 MST 2017

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).

Change t: - Change v: - + or go to Global Menu.
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
24502660924-Restricted SCPHF RE (CL) fuse fuse
25503275323-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
36670432924-Restricted SCPHF RE (CL) fuse fuse
37671047323-Restricted SCPHF RE (CL) fuse fuse
39671085722-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
61838819323-Restricted SCPHF RE (CL) fuse fuse
63838857722-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
1531174363323-Restricted SCPHF RE (CL) fuse fuse
163117440412SCPHF Random Extension (CLS) fuse fuse
164117440502CPHF Random Extension (CLS) fuse fuse
236134217612SCPHF Random Extension (CLS) fuse fuse
237190918256Add 1 factors
268193100427SCPHF Random Extension (CLS) fuse fuse fuse
269251458181Add 1 factors
289268435376Power CT17^2
290327318200Add 1 factors
291352337012Add 2 factors
292383216014Add 3 factors
294390620919Add 5 factors
295399916224Add 6 factors
305441172976Add 16 factors
306478953584Add 17 factors
314490022736Martirosyan-TVT
315490126176Martirosyan-TVT variant
316490229616Martirosyan-TVT
317490249011Martirosyan-TVT variant
318490268406Martirosyan-TVT
319501570088Martirosyan-TVT variant
320512871770Martirosyan-TVT
321513729995Martirosyan-TVT variant
326513736460Martirosyan-TVT
328513736550Martirosyan-TVT
340530513660Martirosyan-TVT
352530915668perfect hash family32,512,16T5
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
536644349174Martirosyan-TVT
538702706928Martirosyan-TVT
544719684123Martirosyan-TVT
545720991028Martirosyan-TVT variant
546722944997Martirosyan-TVT
547736306181Martirosyan-TVT variant
558752330789Martirosyan-TVT
578753182549Martirosyan-TVT
600805179056Power CT25^2T1
625805240496Power CT25^2
639805305666perfect hash family6,639,236
641862006310perfect hash family6,651,237S5
648889192009Power N-CT41^2Trin1,2,24
663889192054Power N-CT41^2T24T2
664889192249Power N-CT41^2Arc(2)T24
680889192294Power N-CT41^2T24T1
697889192339Power N-CT41^2T24
702896552405Power N-CT41^2T23T2
703896552600Power N-CT41^2Arc(2)T23
720896552645Power N-CT41^2T23T1
738896552690Power N-CT41^2T23
741908456661Power N-CT41^2T22T2
742908456856Power N-CT41^2Arc(2)T22
760908456901Power N-CT41^2T22T1
779908456946Power N-CT41^2T22
780918681785Power N-CT41^2T21T2
781918681980Power N-CT41^2Arc(2)T21
800918682025Power N-CT41^2T21T1
820918682070Power N-CT41^2T21
825920645494Power N-CT41^2T16T8
840920649529Power N-CT41^2Trin1,8,15
858920649574Power N-CT41^2T15T8
875921694054Power N-CT41^2T16T6
890921698089Power N-CT41^2Trin1,6,15
910921698134Power N-CT41^2T15T6
914922680889Power N-CT41^2Trin1,2,17
936922680934Power N-CT41^2T17T2
937922681129Power N-CT41^2Arc(2)T17
960922681174Power N-CT41^2T17T1
984922681219Power N-CT41^2T17
1000922742614Power N-CT41^2T16T1
1025922742659Power N-CT41^2T16
1040922746694Power N-CT41^2T15T1
1066922746739Power N-CT41^2T15
1089935329654Power N-CT41^2T8T8
1101936377929Power N-CT41^2Trin2,6,8
1128936378169Power N-CT41^2Trin1,6,8
1155936378214Power N-CT41^2T8T6
1160937361209Power N-CT41^2Trin1,5,8
1188937361254Power N-CT41^2T8T5
1192937422649Power N-CT41^2Trin1,4,8
1221937422694Power N-CT41^2T8T4
1225937426249Power N-CT41^2Trin2,2,8
1256937426489Power N-CT41^2Trin1,2,8
1287937426534Power N-CT41^2T8T2
1288937426729Power N-CT41^2Arc(2)T8
1320937426774Power N-CT41^2T8T1
1353937426819Power N-CT41^2T8
1365938475094Power N-CT41^2T6T2
1366938475289Power N-CT41^2Arc(2)T6
1400938475334Power N-CT41^2T6T1
1435938475379Power N-CT41^2T6
1440939458374Power N-CT41^2T5T1
1476939458419Power N-CT41^2T5
1480939519814Power N-CT41^2T4T1
1517939519859Power N-CT41^2T4
1521939523414Power N-CT41^2T2T2
1522939523609Power N-CT41^2Arc(2)T2
1560939523654Power N-CT41^2T2T1
1599939523699Power N-CT41^2T2
1600939523894Power N-CT41^2T1T1
1640939523939Power N-CT41^2T1
1681939523984Power N-CT41^2
16821034923288Add 1 factors
16831081386068Add 2 factors
16841128556142Add 3 factors
16861129998711Add 5 factors
16921130298874Power N-CT47^2T11
17391130360314Power N-CT47^2T10
18331130364154Power 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
37211174347034Power N-CT61^2
37231174400794Power N-CT61^2+2
37261174404154perfect hash family14,3726,66
37511201667194Power N-CT67^2Arc(12)
38071215298714Power N-CT67^2Arc(11)
39431226833343Power N-CT73^2Trin7,7,7
40261240460783Power N-CT73^2T12T7
41581240464623Power N-CT73^2T10T7
43561240464863Power N-CT73^2T7T7
44531254092303Power N-CT73^2T12
45991254096143Power N-CT73^2T10
48181254096383Power N-CT73^2T7
48191266675023Power N-CT79^2T18
49771266678863Power N-CT79^2T16
52141266679103Power N-CT79^2T13
53291267727903Power N-CT73^2
53471277164703Power N-CT83^2Arc(2)T17
54121278213263Power N-CT83^2T17T1
54291279257743Power N-CT89^2T28
56071279261583Power N-CT89^2T26
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)
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
 Graph: