Table for CAN(5,k,11) for k up to 10000

Last Updated Sun May 8 14:02:10 MST 2016

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;5,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).

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kNSource
12161051orthogonal array
13306130extended OA (Colbourn)
14364422orthogonal array fuse fuse postop NCK
15483131perfect hash family3,15,11,c
16483150perfect hash family3,16,12
24629563Martirosyan-TVT
25909073Add 1 factors
26966300perfect hash family6,26,12
281127350perfect hash family7,28,12
321288400perfect hash family8,32,12
341434213Add 11 factors
351443893Add 11 factors
371449450perfect hash family9,37,12
451584005Power CZ2-9.9-5.1
541601935Power CZ2-9.9-6.1
631606775Power CZ2-9.9-7.1
721609305Power CZ2-9.9-8.1
811610185Power CZ2-9.10
831610405Power CZ2-11.10
841610450Power CZ2-12.10
881758245Power CZ2-11.10-8.1
991763295Power CZ2-11.10-9.1
1101764845Power CZ2-11.10-10.1
1211765395Power CZ2-11.11
1221768890Power CZ2-12.11
1232061600Add 1 factors
1242341110Add 2 factors
1252487520Add 3 factors
1322630435Add 11 factors
1332633930Add 11 factors
1342926640Add 11 factors
1443064852Power CZ2-13.9-12.1-12.1
1563209942Power CZ2-13.10-12.1
1693355032Power CZ2-13.11
1763678537Martirosyan-TVT
1983683587Martirosyan-TVT
2203685137Martirosyan-TVT
2423685687Martirosyan-TVT
2443730282Martirosyan-TVT
2464022992Martirosyan-TVT
2484302502Martirosyan-TVT
2504448912Martirosyan-TVT
2644599127Martirosyan-TVT
2664673732Martirosyan-TVT
2675155312Add 1 factors
2685525462Martirosyan-TVT
2695678032Add 3 factors
2875709874Martirosyan-TVT variant
2885781352Martirosyan-TVT
2995972187Power N-CT23^2T10
3226030479Power N-CT23^2T9
3456149188Power N-CT23^2T8
3686149207Power N-CT23^2T7
5306295620Power N-CT23^2+1
5316974430Add 1 factors
5327387040Add 2 factors
5337533450Add 3 factors
5417679860Add 11 factors
5428358670Add 11 factors
5438582580Add 13 factors
5448917690Add 11 factors
5529064100Add 11 factors
5539161262Power CT25^2Arc(3)
5769440772Power CT25^2T1T1
6009720282Power CT25^2T1
6259999792Power CT25^2
63310139157Martirosyan-TVT variant
64410165425Martirosyan-TVT
64910284134Martirosyan-TVT variant
67310292890Martirosyan-TVT variant
69010310402Martirosyan-TVT
69710310421Martirosyan-TVT variant
72110319177Martirosyan-TVT variant
73610327933Martirosyan-TVT
75110474346Martirosyan-TVT variant
77510483102Martirosyan-TVT variant
79310491858Martirosyan-TVT variant
79610500614Martirosyan-TVT
133210629300perfect hash family66,1332,12
133311309210Add 1 factors
133411721820Add 2 factors
172811815266Power CT23^3T11T11T11
187211960345Power CT23^3T11T11T10
201612018637Power CT23^3T11T11T9
202812105424Power CT23^3T11T10T10
216012137346Power CT23^3T11T11T8
230412137365Power CT23^3T11T11T7
235212222008Power CT23^3T11T9T9
249612282444Power CT23^3T11T10T7
331212283778Power CT23^3T11T11
358812428857Power CT23^3T11T10
386412487149Power CT23^3T11T9
388712573936Power CT23^3T10T10
414012605858Power CT23^3T11T8
441612605877Power CT23^3T11T7
450812690520Power CT23^3T9T9
478412750956Power CT23^3T10T7
634812752290Power CT23^3T11
687712897369Power CT23^3T10
740612955661Power CT23^3T9
793513074370Power CT23^3T8
846413074389Power CT23^3T7
1000013220802Power CT23^3
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