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

Last Updated Sat Sep 16 02:03:55 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).

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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
2249283052Quint-Restricted SCPHF RE (C) fuse fuse
2450266092Quad-Restricted SCPHF RE (C) fuse fuse
2550327532Tri-Restricted SCPHF RE (C) fuse fuse
2650331612SCPHF Random Extension (CLS) fuse fuse
3365011692Quint-Restricted SCPHF RE (C) fuse fuse
3566060252Quint-Restricted SCPHF RE (C) fuse fuse
4067108812SCPHF Random Extension (CLS) fuse fuse
4167108857CPHF Random Extension (CLS) fuse fuse
5181788892Quint-Restricted SCPHF RE (C) fuse fuse
5682837452Quint-Restricted SCPHF RE (C) fuse fuse
6683886012SCPHF Random Extension (CLS) fuse fuse
7397517532Quint-Restricted SCPHF RE (C) fuse fuse
8298566092Quint-Restricted SCPHF RE (C) fuse fuse
8999614652Quint-Restricted SCPHF RE (C) fuse fuse
96100663212SCPHF Random Extension (CLS) fuse fuse
99100663287CPHF Random Extension (CLS) 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
316490229616Martirosyan-TVT
317501550693Martirosyan-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
536646052694Martirosyan-TVT
538704410448Martirosyan-TVT
544721387643Martirosyan-TVT
545722694548Martirosyan-TVT variant
546724648517Martirosyan-TVT
547738009701Martirosyan-TVT variant
578754034309Martirosyan-TVT
600805179056Power CT25^2T1
625805240496Power CT25^2
639805305666perfect hash family6,639,236
641862006310perfect hash family6,651,237S5
649889192204Power N-CT41^2Arc(3)T24
664889192249Power N-CT41^2Arc(2)T24
680889192294Power N-CT41^2T24T1
697889192339Power N-CT41^2T24
703896552600Power N-CT41^2Arc(2)T23
720896552645Power N-CT41^2T23T1
738896552690Power N-CT41^2T23
742908456856Power N-CT41^2Arc(2)T22
760908456901Power N-CT41^2T22T1
779908456946Power N-CT41^2T22
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
915922681084Power N-CT41^2Arc(3)T17
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
1128936378169Power N-CT41^2Trin1,6,8
1155936378214Power N-CT41^2T8T6
1170937426549Power N-CT41^2Arc(6)T8
1198937426594Power N-CT41^2Arc(5)T8
1227937426639Power N-CT41^2Arc(4)T8
1257937426684Power N-CT41^2Arc(3)T8
1288937426729Power N-CT41^2Arc(2)T8
1320937426774Power N-CT41^2T8T1
1353937426819Power N-CT41^2T8
1366938475289Power N-CT41^2Arc(2)T6
1400938475334Power N-CT41^2T6T1
1435938475379Power N-CT41^2T6
1450939523714Power N-CT41^2Arc(6)
1486939523759Power N-CT41^2Arc(5)
1523939523804Power N-CT41^2Arc(4)
1561939523849Power N-CT41^2Arc(3)
1600939523894Power N-CT41^2T1T1
1640939523939Power N-CT41^2T1
1681939523984Power N-CT41^2
16821034923288Add 1 factors
16831081386068Add 2 factors
16841128556142Add 3 factors
16861129998711Add 5 factors
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
22401156578394Power N-CT59^2T19T3
22961156578439Power N-CT59^2T18T3
25031156578634Power N-CT53^2Trin2,2,2
26011157627194Power N-CT53^2T2T2
27031158675754Power N-CT53^2T2
28121159724314Power N-CT53^2+3
29771171258474Power N-CT59^2Trin3,3,3
31361172307034Power N-CT59^2T3T3
34161173355594Power N-CT61^2T5
37261174404154perfect hash family14,3726,66
37511201667194Power N-CT67^2Arc(12)
38071215298714Power N-CT67^2Arc(11)
39431226833343Power N-CT73^2Trin7,7,7
43561240464863Power N-CT73^2T7T7
48181254096383Power N-CT73^2T7
52141266679103Power N-CT79^2T13
53291267727903Power N-CT73^2
53471277164703Power N-CT83^2Arc(2)T17
54121278213263Power N-CT83^2T17T1
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)
66431291844783Power N-CT83^2Arc(3)
67241292893343Power N-CT83^2T1T1
72981293941903Power N-CT89^2T7
79211294990463Power N-CT89^2
79541306525523Power N-CT97^2T15
80311307573558Power N-CT97^2Arc(7)T8
81141307573633Power N-CT97^2Arc(6)T8
81981307573708Power N-CT97^2Arc(5)T8
82831307573783Power N-CT97^2Arc(4)T8
83691307573858Power N-CT97^2Arc(3)T8
84561307573933Power N-CT97^2Arc(2)T8
85441307574008Power N-CT97^2T8T1
86331307574083Power N-CT97^2T8
86611308622118Power N-CT97^2Arc(8)
87511308622193Power N-CT97^2Arc(7)
88421308622268Power N-CT97^2Arc(6)
89341308622343Power N-CT97^2Arc(5)
90271308622418Power N-CT97^2Arc(4)
91211308622493Power N-CT97^2Arc(3)
92161308622568Power N-CT97^2T1T1
93121308622643Power N-CT97^2T1
94111308622718Power N-CT97^2+2
96071476393968Power N-CT101^2Trin2,2,2
98011493171093Power N-CT101^2T2T2
100001508899583perfect hash family13,12769,113T24
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