Table for CAN(6,k,11) 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,11) 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
121771561orthogonal array
133367430extended OA (Colbourn)
1435284814-Restricted SCPHF RE (CL)
153543111SCPHF Random Extension (CLS)
1951536215-Restricted SCPHF RE (CL)
2153000314-Restricted SCPHF RE (CL)
2253133413-Restricted SCPHF RE (CL)
2667641315-Restricted SCPHF RE (CL)
2869251715-Restricted SCPHF RE (CL)
3070715814-Restricted SCPHF RE (CL)
3170861012-Restricted SCPHF RE (CL)
3585356815-Restricted SCPHF RE (CL)
4186967215-Restricted SCPHF RE (CL)
4288564413-Restricted SCPHF RE (CL)
4388576512-Restricted SCPHF RE (CL)
468857761SCPHF Random Extension (CLS)
47101461915-Restricted SCPHF RE (CL)
54103072315-Restricted SCPHF RE (CL)
59104682715-Restricted SCPHF RE (CL)
61106146814-Restricted SCPHF RE (CL)
64106279913-Restricted SCPHF RE (CL)
65106292012-Restricted SCPHF RE (CL)
6710629311SCPHF Random Extension (CLS)
6810629361CPHF Random Extension (CLS)
74119177415-Restricted SCPHF RE (CL)
83120787815-Restricted SCPHF RE (CL)
88122398215-Restricted SCPHF RE (CL)
95123862314-Restricted SCPHF RE (CL)
97123995413-Restricted SCPHF RE (CL)
100124007512-Restricted SCPHF RE (CL)
107136892915-Restricted SCPHF RE (CL)
121138503315-Restricted SCPHF RE (CL)
132140113715-Restricted SCPHF RE (CL)
141141577814-Restricted SCPHF RE (CL)
145141710913-Restricted SCPHF RE (CL)
147141723012-Restricted SCPHF RE (CL)
15014172411SCPHF Random Extension (CLS)
20815943961SCPHF Random Extension (CLS)
20923996071Add 1 factors
21029293451Add 2 factors
21133113421Add 3 factors
21234723931Add 4 factors
21436250181Add 11 factors
21536254581Add 11 factors
21936334441Add 11 factors
25043441173SCPHF Random Extension (CLS) fuse fuse
25152807783Add 1 factors
25258105163Add 2 factors
26161989660perfect hash family4,328,208T67
26562002970perfect hash family4,328,208T63
26762004180perfect hash family4,328,208T61
27062004290perfect hash family4,328,208T58
32863775840perfect hash family4,328,208
32973420750Add 1 factors
34377933620perfect hash family5,475,207T66
35177946930perfect hash family5,475,207T62
35577948140perfect hash family5,475,207T60
36177948250perfect hash family5,475,207T57
47679719800perfect hash family5,476,208
47790695710Add 1 factors
47993892210perfect hash family6,541,181T31
56895663760perfect hash family6,568,208
575103876230Power N-CT29^2Arc(3)T7
595104022640Power N-CT29^2Arc(2)T7
616104169050Power N-CT29^2T7T1
638104315460Power N-CT29^2T7
639104489700Power N-CT31^2Arc(2)T9
660104504220Power N-CT31^2T9T1
682104518740Power N-CT31^2T9
706105341650Power N-CT29^2Arc(5)
731105488060Power N-CT29^2Arc(4)
757105634470Power N-CT29^2Arc(3)
784105780880Power N-CT29^2T1T1
812105927290Power N-CT29^2T1
842106073700Power N-CT29^2+1
868106130570Power N-CT31^2T3
871106247940Power N-CT31^2Arc(3)
900106262460Power N-CT31^2T1T1
930106276980Power N-CT31^2T1
961106291500Power N-CT31^2
962118876710Add 1 factors
1066119821490Power N-CT41^2T15
1085119982420Power N-CT41^2T10T6
1148119982530Power N-CT41^2T13
1230120128940Power N-CT41^2T11
1271120143460Power N-CT41^2T10
1435121593040Power N-CT41^2T6
1681121754080Power N-CT41^2
1682123843750Power N-CT43^2Arc(2)T2
1722123844960Power N-CT43^2T2T1
1763123846170Power N-CT43^2T2
1764124004680Power N-CT43^2T1T1
1806124005890Power N-CT43^2T1
1849124007100Power N-CT43^2
1852124008640Power N-CT43^2+3
1861131739220Power N-CT47^2Arc(8)
1901133027650Power N-CT47^2Arc(7)
1942134316080Power N-CT47^2Arc(6)
1984135604510Power N-CT47^2Arc(5)
2027136892940Power N-CT47^2Arc(4)
2071138181370Power N-CT47^2Arc(3)
2116139469800Power N-CT47^2T1T1
2162140758230Power N-CT47^2T1
2209142046660Power N-CT47^2
2226142850430Power N-CT53^2T11
2279142851640Power N-CT53^2T10
2438142851750Power N-CT53^2T7
2491144140180Power N-CT53^2T6
2810144301220Power N-CT53^2+1
2916146233700Power N-CT59^2T5T5
3186146394740Power N-CT59^2T5
3481146555780Power N-CT59^2
3599148459110Power N-CT61^2T2
3618148488260Power N-CT67^2T13
3721148605520Power N-CT61^2
3776148647980Power N-CT67^2T8T3
3835148649190Power N-CT67^2T8T2
3953148649300Power N-CT67^2T8
3965148795600Power N-CT67^2T6T2
4087148795710Power N-CT67^2T6
4096148807700Power N-CT67^2T3T3
4160148808910Power N-CT67^2T3T2
4288148809020Power N-CT67^2T3
4355148810230Power N-CT67^2T2
4489148810340Power N-CT67^2
4490148811040Power N-CT67^2+1
4556152353810Power N-CT73^2T6T5
4624152353860Power N-CT73^2T5T5
4672153640870Power N-CT73^2T9
4745153642080Power N-CT73^2T8
4891153642190Power N-CT73^2T6
4964153642240Power N-CT73^2T5
5330154930620Power N-CT73^2+1
5395155574560Power N-CT83^2T18
5561155574670Power N-CT83^2T16
5644155574720Power N-CT83^2T15
6142156863100Power N-CT83^2T9
6889157024140Power N-CT83^2
6894159117660perfect hash family13,6894,88
6919159264070Power N-CT89^2Arc(12)
6997159410480Power N-CT89^2Arc(11)
7076159556890Power N-CT89^2Arc(10)
7382159599240Power N-CT101^2Arc(13)T18
7822159760280Power N-CT101^2Arc(13)T13
8438159906690Power N-CT101^2Arc(13)T6
8614159920000Power N-CT101^2Arc(13)T4
8790159921210Power N-CT101^2Arc(13)T2
8839161154090Power N-CT97^2Trin2,2,2
9025161167400Power N-CT97^2T2T2
9215161180710Power N-CT97^2T2
9409161194020Power N-CT97^2
9412161209750Power N-CT97^2+3
9421167652450Power N-CT101^2Arc(8)
9515168940990Power N-CT101^2Arc(7)
9610170229530Power N-CT101^2Arc(6)
9706171518070Power N-CT101^2Arc(5)
9803172806610Power N-CT101^2Arc(4)
9901174095150Power N-CT101^2Arc(3)
10000175383690Power N-CT101^2T1T1
 Graph: