Table for CAN(6,k,7) 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,7) 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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8117649orthogonal array
9216090extended OA (Colbourn)
10316932Add 1 factors
11417774Add 2 factors
12518616Add 3 factors
14521017double OA (Colbourn-Zhou)
16537481double OA (Colbourn-Zhou)
17738871Add 1 factors
18926149Add 2 factors
191088731Add 3 factors
201189573Add 4 factors
211257487Add 7 factors
221284241Add 7 factors
231290415Add 7 factors
241497979Add 7 factors
251697605Add 7 factors
261866361Add 7 factors
282044588Martirosyan-Tran van Trung
302089822Martirosyan-Tran van Trung
322118592Martirosyan-Tran van Trung
342467900Martirosyan-Tran van Trung
362728306Martirosyan-Tran van Trung
372974174Add 7 factors
383009118Add 7 factors
393109666Add 7 factors
403458974Add 7 factors
413460738Add 7 factors
433721144Add 7 factors
443852590Martirosyan-Tran van Trung
463878434Martirosyan-Tran van Trung
484183936Martirosyan-Tran van Trung
504438504Martirosyan-Tran van Trung
524612552Martirosyan-Tran van Trung
534871272Add 7 factors
564913419Martirosyan-Tran van Trung
584981585Martirosyan-Tran van Trung
605024719Martirosyan-Tran van Trung
645512129Martirosyan-Tran van Trung
686003595Martirosyan-Tran van Trung
726332803Martirosyan-Tran van Trung
746673003Martirosyan-Tran van Trung
766707947Martirosyan-Tran van Trung
786981115Martirosyan-Tran van Trung
807387255Martirosyan-Tran van Trung
827738585Martirosyan-Tran van Trung
847841471Martirosyan-Tran van Trung
867864008Martirosyan-Tran van Trung
887887041Martirosyan-Tran van Trung
927918177Martirosyan-Tran van Trung
1008146920Power CT16^2TD(2):2,2,8
1128163384Power CT16^2T8T2
1288179848Power CT16^2T8
1448278289Power CT16^2T7
1608379131Power CT16^2T6
1768479973Power CT16^2T5
1968566752Power CT16^2T2T2
2248583216Power CT16^2T2
2568599680Power CT16^2
2579520530Add 1 factors
2589968880Add 2 factors
25910242594Add 3 factors
26010343436Add 4 factors
26310444278Add 7 factors
26411365128Add 7 factors
27211620530Power CT17^2T1
28911821920Power CT17^2
29012742770Add 1 factors
29113191120Add 2 factors
29213464834Add 3 factors
29313565676Add 4 factors
29613666518Add 7 factors
29714587368Add 7 factors
29815035718Add 7 factors
29915309432Add 7 factors
30015410274Add 7 factors
30315511116Add 7 factors
30416431966Add 7 factors
30516880316Add 7 factors
30616907238Power CT19^2T2T1
30716931934Power CT19^2Arc(3)
32016978811perfect hash family32,512,16T6
32317069820Power CT19^2T2
35217079653perfect hash family32,512,16T5
38417180495perfect hash family32,512,16T4
44817182896perfect hash family32,512,16T2
51217199360perfect hash family32,512,16
51318496572Add 1 factors
51419048410Add 2 factors
51519336530Add 3 factors
51619437372Add 4 factors
51919538214Add 7 factors
52920646624Power CT23^2
53021943836Add 1 factors
53122508316Add 2 factors
53222802610Add 3 factors
53322903452Add 4 factors
53623004294Add 7 factors
53724178992Add 8 factors
54424856443Martirosyan-Tran van Trung
57825102191Martirosyan-Tran van Trung
57926551359Add 1 factors
60026962038Power CT25^2T1
62527161664Power CT25^2
62628610832Add 1 factors
62729235876Add 2 factors
62829534286Add 3 factors
62929635128Add 4 factors
63229735970Add 7 factors
64030351728Martirosyan-Tran van Trung
64630442737Martirosyan-Tran van Trung
68630496928Martirosyan-Tran van Trung
70030665838Martirosyan-Tran van Trung
70430759736Martirosyan-Tran van Trung
72230860578Martirosyan-Tran van Trung
72530955098Power N-CT29^2T4
72831078620Power N-CT29^2T3T1
75431123854Power N-CT29^2T3
75731211613Power N-CT29^2Arc(3)
78431256847Power N-CT29^2T1T1
81231302081Power N-CT29^2T1
84231347315Power N-CT29^2+1
84331663785Power N-CT31^2Arc(4)
87131692555Power N-CT31^2Arc(3)
90031721325Power N-CT31^2T1T1
93031750095Power N-CT31^2T1
96231778865Power N-CT31^2+1
96333439125Add 1 factors
102433897456Power CT32^2
102535575314Add 1 factors
102636258570Add 2 factors
102736600198Add 3 factors
102836701040Add 4 factors
103136801882Add 7 factors
103238200776Add 8 factors
103639057640Martirosyan-Tran van Trung
103839144076Martirosyan-Tran van Trung
104240252486Martirosyan-Tran van Trung
105240437802Martirosyan-Tran van Trung
105840445740Martirosyan-Tran van Trung
105942132418Add 1 factors
107242399783Power N-CT37^2Arc(9)
110142645651Power N-CT37^2Arc(8)
113142891519Power N-CT37^2Arc(7)
116243137387Power N-CT37^2Arc(6)
119443383255Power N-CT37^2Arc(5)
122743629123Power N-CT37^2Arc(4)
126143874991Power N-CT37^2Arc(3)
129644120859Power N-CT37^2T1T1
133244366727Power N-CT37^2T1
136944612595Power N-CT37^2
137045136755Power N-CT37^2+1
137146644975Power N-CT37^2+2
137447196006Power N-CT41^2Trin2,3,3
141047296554Power N-CT41^2Trin2,2,3
144747397102Power N-CT41^2Trin2,2,2
148247647626Power N-CT41^2T3T2
148447746410Power N-CT41^2Trin1,2,2
152147748174Power N-CT41^2T2T2
155847998698Power N-CT41^2T3
156048097482Power N-CT41^2T2T1
159948099246Power N-CT41^2T2
160048446790Power N-CT41^2T1T1
164048448554Power N-CT41^2T1
168148450318Power N-CT41^2
168250254974Add 1 factors
168350952342Add 2 factors
168451306318Add 3 factors
168551407160Add 4 factors
168851508002Add 7 factors
172051833832Power N-CT43^2T3
176351835596Power N-CT43^2T2
184952096002Power N-CT43^2
185053919768Add 1 factors
185254298062Power N-CT43^2+3
185355079892Add 4 factors
185655180734Add 7 factors
186156131074Power N-CT47^2Arc(8)
190156436576Power N-CT47^2Arc(7)
194256742078Power N-CT47^2Arc(6)
198457047580Power N-CT47^2Arc(5)
202757353082Power N-CT47^2Arc(4)
207157658584Power N-CT47^2Arc(3)
211657964086Power N-CT47^2T1T1
216258269588Power N-CT47^2T1
221058575090Power N-CT47^2+1
221160398856Add 1 factors
230460611597Power CT31^3T22T15T15
256060712439Power CT31^3T21T15T15
281660813281Power CT31^3T20T15T15
313660900060Power CT31^3T17T17T15
358460916524Power CT31^3T17T15T15
409660932988Power CT31^3T15T15T15
435261134378Power CT31^3T15T15T14
460861321656Power CT31^3T15T15T13
462461335768Power CT31^3T15T14T14
486461484238Power CT31^3T15T15T12
489661523046Power CT31^3T15T14T13
491361537158Power CT31^3T14T14T14
512061585080Power CT31^3T15T15T11
537661652994Power CT31^3T15T15T10
563261679748Power CT31^3T15T15T9
588861685922Power CT31^3T15T15T8
598461881138Power CT31^3T15T14T9
625661887312Power CT31^3T15T14T8
633662068416Power CT31^3T15T13T9
662462074590Power CT31^3T15T13T8
664762088702Power CT31^3T14T14T8
668862230998Power CT31^3T15T12T9
699262237172Power CT31^3T15T12T8
703862275980Power CT31^3T14T13T8
704062331840Power CT31^3T15T11T9
736062338014Power CT31^3T15T11T8
739262399754Power CT31^3T15T10T9
772862405928Power CT31^3T15T10T8
774462426508Power CT31^3T15T9T9
809662432682Power CT31^3T15T9T8
846462438856Power CT31^3T15T8T8
860262634072Power CT31^3T14T9T8
899362640246Power CT31^3T14T8T8
910862821350Power CT31^3T13T9T8
952262827524Power CT31^3T13T8T8
961462983932Power CT31^3T12T9T8
1000062990106Power CT31^3T12T8T8