Table for CAN(6,k,10) 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,10) 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
71000000composition
81229001Augment OA
91357802Augment OA
101494326Augment OA
121771559orthogonal array fuse
132928200extended OA (Colbourn) special fuse
1435284794-Restricted SCPHF RE (CL) fuse
153543109SCPHF Random Extension (CLS) fuse
1951536195-Restricted SCPHF RE (CL) fuse
2153000294-Restricted SCPHF RE (CL) fuse
2253133393-Restricted SCPHF RE (CL) fuse
2667641295-Restricted SCPHF RE (CL) fuse
2869251695-Restricted SCPHF RE (CL) fuse
3070715794-Restricted SCPHF RE (CL) fuse
3170860992-Restricted SCPHF RE (CL) fuse
3585356795-Restricted SCPHF RE (CL) fuse
4186967195-Restricted SCPHF RE (CL) fuse
4288564393-Restricted SCPHF RE (CL) fuse
4388576492-Restricted SCPHF RE (CL) fuse
468857759SCPHF Random Extension (CLS) fuse
47101461895-Restricted SCPHF RE (CL) fuse
54103072295-Restricted SCPHF RE (CL) fuse
59104682695-Restricted SCPHF RE (CL) fuse
61106146794-Restricted SCPHF RE (CL) fuse
64106279893-Restricted SCPHF RE (CL) fuse
65106291992-Restricted SCPHF RE (CL) fuse
6710629309SCPHF Random Extension (CLS) fuse
6810629359CPHF Random Extension (CLS) fuse
74119177395-Restricted SCPHF RE (CL) fuse
83120787795-Restricted SCPHF RE (CL) fuse
88122398195-Restricted SCPHF RE (CL) fuse
95123862294-Restricted SCPHF RE (CL) fuse
97123995393-Restricted SCPHF RE (CL) fuse
100124007492-Restricted SCPHF RE (CL) fuse
107136892895-Restricted SCPHF RE (CL) fuse
121138503295-Restricted SCPHF RE (CL) fuse
132140113695-Restricted SCPHF RE (CL) fuse
141141577794-Restricted SCPHF RE (CL) fuse
145141710893-Restricted SCPHF RE (CL) fuse
147141722992-Restricted SCPHF RE (CL) fuse
15014172409SCPHF Random Extension (CLS) fuse
20815943959SCPHF Random Extension (CLS) fuse
20922531869Add 1 factors
21025780869Add 2 factors
21130557459Add 3 factors
21331776963Add 5 factors
21433257076Add 6 factors
21634766059Add 11 factors
21734792679Add 11 factors
21934805989Add 11 factors
22042350599Add 1 factors
25043441171SCPHF Random Extension (CLS) fuse fuse fuse
25151104581Add 1 factors
25254353581Add 2 factors
25359473211Add 3 factors
25460383587Martirosyan-TVT
25560552897Add 5 factors
26461437487Martirosyan-TVT
26661583897Martirosyan-TVT
26762004172perfect hash family4,328,208T61
27062004282perfect hash family4,328,208T58
32863775832perfect hash family4,328,208
33270599150Martirosyan-TVT
33370865350Martirosyan-TVT variant
33571131550Martirosyan-TVT variant
33971277648Martirosyan-TVT variant
34172592530Martirosyan-TVT variant
34373323020Martirosyan-TVT variant
34773469118Martirosyan-TVT variant
35873615216Martirosyan-TVT
36573735006Martirosyan-TVT variant
38174611594Martirosyan-TVT variant
39074757692Martirosyan-TVT
39174769572Martirosyan-TVT variant
39875646160Martirosyan-TVT
39975673660Martirosyan-TVT variant
40275701160Martirosyan-TVT
40475701700Martirosyan-TVT
40575711700Martirosyan-TVT variant
40975721700Martirosyan-TVT variant
41076014496Martirosyan-TVT
41177068306Martirosyan-TVT variant
41477214704Martirosyan-TVT
47679719790perfect hash family5,476,208
47788699900Add 1 factors
47893388900Add 2 factors
47993892198perfect hash family6,541,181T31
56895663748perfect hash family6,568,208
575103876200Power N-CT29^2Arc(3)T7
595104022610Power N-CT29^2Arc(2)T7
616104169020Power N-CT29^2T7T1
638104315430Power N-CT29^2T7
639104489670Power N-CT31^2Arc(2)T9
660104504190Power N-CT31^2T9T1
682104518710Power N-CT31^2T9
706105341620Power N-CT29^2Arc(5)
731105488030Power N-CT29^2Arc(4)
757105634440Power N-CT29^2Arc(3)
784105780850Power N-CT29^2T1T1
812105927260Power N-CT29^2T1
842106073670Power N-CT29^2+1
868106130540Power N-CT31^2T3
871106247910Power N-CT31^2Arc(3)
900106262430Power N-CT31^2T1T1
930106276950Power N-CT31^2T1
961106291470Power N-CT31^2
962116588280Add 1 factors
1066119821462Power N-CT41^2T15
1085119982392Power N-CT41^2T10T6
1148119982502Power N-CT41^2T13
1230120128912Power N-CT41^2T11
1271120143432Power N-CT41^2T10
1435121593012Power N-CT41^2T6
1681121754052Power N-CT41^2
1682123843722Power N-CT43^2Arc(2)T2
1722123844932Power N-CT43^2T2T1
1763123846142Power N-CT43^2T2
1764124004652Power N-CT43^2T1T1
1806124005862Power N-CT43^2T1
1849124007072Power N-CT43^2
1852124008612Power N-CT43^2+3
1861131739192Power N-CT47^2Arc(8)
1901133027622Power N-CT47^2Arc(7)
1942134316052Power N-CT47^2Arc(6)
1984135604482Power N-CT47^2Arc(5)
2027136892912Power N-CT47^2Arc(4)
2071138181342Power N-CT47^2Arc(3)
2116139469772Power N-CT47^2T1T1
2162140758202Power N-CT47^2T1
2209142046632Power N-CT47^2
2226142850402Power N-CT53^2T11
2279142851612Power N-CT53^2T10
2438142851722Power N-CT53^2T7
2491144140152Power N-CT53^2T6
2810144301192Power N-CT53^2+1
2916146233672Power N-CT59^2T5T5
3186146394712Power N-CT59^2T5
3481146555752Power N-CT59^2
3599148459082Power N-CT61^2T2
3618148488232Power N-CT67^2T13
3721148605492Power N-CT61^2
3776148647952Power N-CT67^2T8T3
3835148649162Power N-CT67^2T8T2
3953148649272Power N-CT67^2T8
3965148795572Power N-CT67^2T6T2
4087148795682Power N-CT67^2T6
4096148807672Power N-CT67^2T3T3
4160148808882Power N-CT67^2T3T2
4288148808992Power N-CT67^2T3
4355148810202Power N-CT67^2T2
4489148810312Power N-CT67^2
4490148811012Power N-CT67^2+1
4556152353784Power N-CT73^2T6T5
4624152353834Power N-CT73^2T5T5
4672153640844Power N-CT73^2T9
4745153642054Power N-CT73^2T8
4891153642164Power N-CT73^2T6
4964153642214Power N-CT73^2T5
5330154930594Power N-CT73^2+1
5395155574534Power N-CT83^2T18
5561155574644Power N-CT83^2T16
5644155574694Power N-CT83^2T15
6142156863074Power N-CT83^2T9
6889157024114Power N-CT83^2
6894159117634perfect hash family13,6894,88
6919159264044Power N-CT89^2Arc(12)
6997159410454Power N-CT89^2Arc(11)
7076159556864Power N-CT89^2Arc(10)
7382159599214Power N-CT101^2Arc(13)T18
7822159760254Power N-CT101^2Arc(13)T13
8438159906664Power N-CT101^2Arc(13)T6
8614159919974Power N-CT101^2Arc(13)T4
8790159921184Power N-CT101^2Arc(13)T2
8839161154064Power N-CT97^2Trin2,2,2
9025161167374Power N-CT97^2T2T2
9215161180684Power N-CT97^2T2
9409161193994Power N-CT97^2
9412161209724Power N-CT97^2+3
9421167652424Power N-CT101^2Arc(8)
9515168940964Power N-CT101^2Arc(7)
9610170229504Power N-CT101^2Arc(6)
9706171518044Power N-CT101^2Arc(5)
9803172806584Power N-CT101^2Arc(4)
9901174095124Power N-CT101^2Arc(3)
10000175383664Power N-CT101^2T1T1
 Graph: