Table for CAN(6,k,10) 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,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).

Change t: - Change v: - + or go to Global Menu.
kNSource
71000000composition
81229001Augment OA
91357802Augment OA
101494326Augment OA
121771559orthogonal array fuse
132928200extended OA (Colbourn) special fuse
143528479Quad-Restricted SCPHF RE (C) fuse
153543109SCPHF Random Extension (CLS) fuse
195153619Quint-Restricted SCPHF RE (C) fuse
215300029Quad-Restricted SCPHF RE (C) fuse
225313339Tri-Restricted SCPHF RE (C) fuse
266764129Quint-Restricted SCPHF RE (C) fuse
286925169Quint-Restricted SCPHF RE (C) fuse
307071579Quad-Restricted SCPHF RE (C) fuse
317086099Path-Restricted SCPHF RE (C) fuse
358535679Quint-Restricted SCPHF RE (C) fuse
418696719Quint-Restricted SCPHF RE (C) fuse
468857759SCPHF Random Extension (CLS) fuse
4710146189Quint-Restricted SCPHF RE (C) fuse
5310307229Quint-Restricted SCPHF RE (C) fuse
5910468269Quint-Restricted SCPHF RE (C) fuse
6710629309SCPHF Random Extension (CLS) fuse
6810629359CPHF Random Extension (CLS) fuse
7411917739Quint-Restricted SCPHF RE (C) fuse
8312078779Quint-Restricted SCPHF RE (C) fuse
8812239819Quint-Restricted SCPHF RE (C) fuse
9412400859SCPHF Random Extension (CLS) fuse
9912400919CPHF Random Extension (CLS) fuse
15014172409SCPHF Random Extension (CLS) fuse
20815943959SCPHF Random Extension (CLS) fuse
20923488569Add 1 factors
21026737569Add 2 factors
21131726759Add 3 factors
21231776963Add 5 factors
21332786813Add 5 factors
21434362596Add 6 factors
21634766059Add 11 factors
21734792679Add 11 factors
21834805989Add 11 factors
21935975289Add 11 factors
25043441171SCPHF Random Extension (CLS) fuse fuse fuse
25151104581Add 1 factors
25254353581Add 2 factors
25359473211Add 3 factors
25460544627Martirosyan-TVT
25560552897Add 5 factors
26661598527Martirosyan-TVT
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
36573746886Martirosyan-TVT variant
37674623474Martirosyan-TVT
37774650204Martirosyan-TVT variant
38174676934Martirosyan-TVT variant
39174823252Martirosyan-TVT variant
40075701160Martirosyan-TVT
40175711160Martirosyan-TVT variant
40275721160Martirosyan-TVT
40975721700Martirosyan-TVT variant
41076014496Martirosyan-TVT
41177068306Martirosyan-TVT variant
41277214704Martirosyan-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
1763123847572Power N-CT43^2T2
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
2438142851722Power N-CT53^2T7
2491144140152Power N-CT53^2T6
2809144301192Power N-CT53^2
3127146394712Power N-CT59^2T6
3481146555752Power N-CT59^2
3551148488232Power N-CT67^2T14
3953148649272Power N-CT67^2T8
4489148810312Power N-CT67^2
4490148811012Power N-CT67^2+1
4556152353784Power N-CT73^2T6T5
4624152353834Power N-CT73^2T5T5
4891153642164Power N-CT73^2T6
4964153642214Power N-CT73^2T5
5330154930594Power N-CT73^2+1
5561155574644Power N-CT83^2T16
5644155574694Power N-CT83^2T15
6142156863074Power N-CT83^2T9
6889157024114Power N-CT83^2
6894159117634perfect hash family13,6894,88
6919159278674Power N-CT89^2Arc(12)
6997159439714Power N-CT89^2Arc(11)
7076159600754Power N-CT89^2Arc(10)
7156159761794Power N-CT89^2Arc(9)
7237159922834Power N-CT89^2Arc(8)
7319160083874Power N-CT89^2Arc(7)
7402160244914Power N-CT89^2Arc(6)
7486160405954Power N-CT89^2Arc(5)
7571160566994Power N-CT89^2Arc(4)
7657160728034Power N-CT89^2Arc(3)
7744160889074Power N-CT89^2T1T1
7802160889734Power N-CT97^2T14T3
8051160889794Power N-CT97^2T14
8272161050774Power N-CT97^2T9T3
8536161050834Power N-CT97^2T9
8563161211754Power N-CT97^2Trin3,3,3
8836161211814Power N-CT97^2T3T3
9118161211874Power N-CT97^2T3
9411161211934Power N-CT97^2+2
9607178926834Power N-CT101^2Trin2,2,2
9801180698324Power N-CT101^2T2T2
10000182308714perfect hash family13,14478,126T38
 Graph: