Table for CAN(6,k,9) for k up to 10000

Last Updated Fri Sep 20 11:45:18 MST 2013

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,9) 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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10531441orthogonal array
11997272extended OA (Colbourn)
121469664Add 1 factors
131942056Add 2 factors
142414448Add 3 factors
182421009double OA (Colbourn-Zhou)
202479329double OA (Colbourn-Zhou)
213423465Add 1 factors
224315761Add 2 factors
235068089Add 3 factors
245540481Add 4 factors
265890401Add 9 factors
275931225Add 9 factors
296012873Add 9 factors
306974505Add 9 factors
317954281Add 9 factors
329190017Add 9 factors
349432468Martirosyan-Tran van Trung
369537372Martirosyan-Tran van Trung
389595692Martirosyan-Tran van Trung
409674370Martirosyan-Tran van Trung
4111090250Add 1 factors
4211798712Martirosyan-Tran van Trung
4312921498Add 3 factors
4413393890Add 4 factors
4513729284Add 9 factors
4713787604Add 9 factors
4913866282Add 9 factors
5016064946Add 9 factors
5116773408Add 9 factors
5217774604Martirosyan-Tran van Trung
5417891046Martirosyan-Tran van Trung
5617993430Martirosyan-Tran van Trung
5818032760Martirosyan-Tran van Trung
6019618786Martirosyan-Tran van Trung
6220755882Martirosyan-Tran van Trung
6422503332Martirosyan-Tran van Trung
6822745783Martirosyan-Tran van Trung
7222850687Martirosyan-Tran van Trung
7622909007Martirosyan-Tran van Trung
7822987685Martirosyan-Tran van Trung
7925186349Add 1 factors
8026130485Add 2 factors
8127022781Add 3 factors
8227495173Add 4 factors
8527888887Add 9 factors
8727967565Add 9 factors
8830057285Martirosyan-Tran van Trung
9030392679Martirosyan-Tran van Trung
9430450999Martirosyan-Tran van Trung
9830529677Martirosyan-Tran van Trung
10032728341Martirosyan-Tran van Trung
10233667293Martirosyan-Tran van Trung
10434437999Martirosyan-Tran van Trung
10834554441Martirosyan-Tran van Trung
11034656825Martirosyan-Tran van Trung
11235070897Martirosyan-Tran van Trung
11635524299Martirosyan-Tran van Trung
12135888654Power CT16^2T5T5
13236361046Power CT16^2T5T4
14436833438Power CT16^2T4T4
17036846560Power CT17^2T7
18737312391Power CT17^2T6
19037721360Power CT19^2T9
20437784783Power CT17^2T5
20938187191Power CT19^2T8
22138257175Power CT17^2T4
22838659583Power CT19^2T7
23838729567Power CT17^2T3
29038736128Power CT17^2+1
29139435968Power CT19^2Arc(4)
30739494288Power CT19^2Arc(3)
32439552608Power CT19^2T1T1
34239610928Power CT19^2T1
36239669248Power CT19^2+1
36344113808Add 1 factors
36446265816Add 2 factors
36547578016Add 3 factors
36648050408Add 4 factors
37148522800Add 9 factors
37252967360Add 9 factors
37355119368Add 9 factors
37456431568Add 9 factors
37556903960Add 9 factors
37957376352Add 9 factors
38057381536Add 9 factors
38161826096Add 9 factors
38263978104Add 9 factors
38365290304Add 9 factors
38465762696Add 9 factors
38866235088Add 9 factors
38966240272Add 9 factors
39070684832Add 9 factors
39172836840Add 9 factors
39274149040Add 9 factors
39374621432Add 9 factors
39775093824Add 9 factors
39875099008Add 9 factors
40075911888Power CT23^2T3T3
40276103696Power CT23^2Arc(6):1 twos,1 ones 3 ext
40376155536Power CT23^2Arc(6):3 twos,0 ones
40476295504Power CT23^2Arc(8):2 twos,2 ones
40576435472Power CT23^2Arc(4)T2
40676575440Power CT23^2Arc(6)
42076856024Power CT23^2T3T2
42176995992Power CT23^2Arc(2)T3
42277047832Power CT23^2Arc(6):2 twos,1 ones
42377187800Power CT23^2Arc(3)T2
42477327768Power CT23^2Arc(5)
44877465695perfect hash family32,512,16T2
51477472256perfect hash family32,514,18
51679338496perfect hash family32,516,20
52981089408Power CT23^2
53085806920Add 1 factors
54086577888Power N-CT29^2T9T2
58086659536Power N-CT29^2T9
60987603672Power N-CT29^2T8
63888495968Power N-CT29^2T7
66789248296Power N-CT29^2T6
69689720688Power N-CT29^2T5
70289988960Power N-CT29^2T3T2
72990029784Power N-CT29^2T2T2
75490070608Power N-CT29^2T3
78390111432Power N-CT29^2T2
84190193080Power N-CT29^2
84295852640Add 1 factors
84398305968Add 2 factors
84499618168Add 3 factors
845100090560Add 4 factors
850100562952Add 9 factors
851106222728Add 9 factors
852108676056Add 9 factors
853109988256Add 9 factors
854110460648Add 9 factors
859110933040Add 9 factors
871116374872Power N-CT31^2Arc(3)
900117354648Power N-CT31^2T1T1
930118334424Power N-CT31^2T1
961119314200Power N-CT31^2
962125738904Add 1 factors
963128445600Add 2 factors
964129757800Add 3 factors
965130230192Add 4 factors
970130702584Add 9 factors
1016135199264Power N-CT41^2T7S13
1076135304168Power N-CT41^2T5S13
1134135362488Power N-CT41^2T3S13
1198135441166Power N-CT41^2Arc(14)
1226136857046Power N-CT41^2Arc(13)
1255138272926Power N-CT41^2Arc(12)
1285139688806Power N-CT41^2Arc(11)
1316141104686Power N-CT41^2Arc(10)
1348142520566Power N-CT41^2Arc(9)
1370143935365Power N-CT37^2+1
1381143936446Power N-CT41^2Arc(8)
1415145352326Power N-CT41^2Arc(7)
1450146768206Power N-CT41^2Arc(6)
1486148184086Power N-CT41^2Arc(5)
1523149599966Power N-CT41^2Arc(4)
1561151015846Power N-CT41^2Arc(3)
1600152431726Power N-CT41^2T1T1
1640153847606Power N-CT41^2T1
1681155263486Power N-CT41^2
1682162905350Add 1 factors
1683166177750Add 2 factors
1684167769886Add 3 factors
1685168242278Add 4 factors
1690168714670Add 9 factors
1691176356534Add 9 factors
1723177532600Power N-CT43^2Arc(3)
1764178655386Power N-CT43^2T1T1
1806179778172Power N-CT43^2T1
1849180900958Power N-CT43^2
1850187514446Power N-CT43^2+1
1880188913208Power N-CT47^2T7
1927190329088Power N-CT47^2T6
1974191037550Power N-CT47^2T5
2021192160336Power N-CT47^2T4
2068192632728Power N-CT47^2T3
2115192968122Power N-CT47^2T2
2209193026442Power N-CT47^2
2211194127934Power N-CT47^2+2
2212202458118Add 1 factors
2213205813462Add 2 factors
2218207324706Add 9 factors
2220208426198Add 9 factors
3602209766560Power CT31^3T21S30
3962210232391Power CT31^3T20S30
4320210704783Power CT31^3T19S30
4680211177175Power CT31^3T18S30
5040211649567Power CT31^3T17S30
6477211656128Power CT31^3T13S30
7197211714448Power CT31^3T11S30
7555212658584Power CT31^3T10S30
7915213550880Power CT31^3T9S30
8275214303208Power CT31^3T8S30
8633214775600Power CT31^3T7S30
9351215125520Power CT31^3T5S30
9711215166344Power CT31^3T4S30
10000215247992Power CT31^3T2S30