Table for CAN(6,k,9) 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,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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kNSource
10531441orthogonal array
11997272extended OA (Colbourn)
1210038335-Restricted SCPHF RE (CL)
1310563214-Restricted SCPHF RE (CL)
141062873SCPHF Random Extension (CLS)
1815352655-Restricted SCPHF RE (CL)
1915877534-Restricted SCPHF RE (CL)
201594305SCPHF Random Extension (CLS)
2320076575-Restricted SCPHF RE (CL)
2420666975-Restricted SCPHF RE (CL)
2521191854-Restricted SCPHF RE (CL)
2621250173-Restricted SCPHF RE (CL)
272125761CPHF Random Extension (CLS)
3325390895-Restricted SCPHF RE (CL)
3525981295-Restricted SCPHF RE (CL)
3626506174-Restricted SCPHF RE (CL)
3726564493-Restricted SCPHF RE (CL)
382657169SCPHF Random Extension (CLS)
3930114815-Restricted SCPHF RE (CL)
4430705215-Restricted SCPHF RE (CL)
4931295615-Restricted SCPHF RE (CL)
5131820494-Restricted SCPHF RE (CL)
5231878813-Restricted SCPHF RE (CL)
5331885292-Restricted SCPHF RE (CL)
553188601SCPHF Random Extension (CLS)
5835429135-Restricted SCPHF RE (CL)
6436019535-Restricted SCPHF RE (CL)
6936609935-Restricted SCPHF RE (CL)
7237134814-Restricted SCPHF RE (CL)
7537193133-Restricted SCPHF RE (CL)
763720033SCPHF Random Extension (CLS)
783720081CPHF Random Extension (CLS)
7940153055-Restricted SCPHF RE (CL)
8340743455-Restricted SCPHF RE (CL)
9241333855-Restricted SCPHF RE (CL)
9941924255-Restricted SCPHF RE (CL)
10742449134-Restricted SCPHF RE (CL)
10842507453-Restricted SCPHF RE (CL)
11242513932-Restricted SCPHF RE (CL)
1564782897SCPHF Random Extension (CLS)
2105314329SCPHF Random Extension (CLS)
2118093601Add 1 factors
2129872361Add 2 factors
21311114577Add 3 factors
21411586969Add 4 factors
21912059361Add 9 factors
22014838633Add 9 factors
22116617393Add 9 factors
22217859609Add 9 factors
22318332001Add 9 factors
22418804393Add 9 factors
22818810225Add 9 factors
24319131584perfect hash family4,243,156
27820725880perfect hash family4,332,210T54
33221257312perfect hash family4,332,210
33523914480perfect hash family5,335,156
33724445912perfect hash family5,345,157S4
33924977344perfect hash family5,345,157S3
34225351544Power CT19^2T1
36125404032Power CT19^2
36225508864Power CT19^2+1
37326040208perfect hash family5,475,207T51
47826571640perfect hash family5,478,210
47929874496Add 1 factors
49131354536perfect hash family6,541,181T25
57031885968perfect hash family6,570,210
57533795416Power CT25^2T2
57633801968Power CT25^2T1T1
60033854456Power CT25^2T1
62133894056Power CT27^2T4
62533906944Power CT25^2
64833953096Power CT27^2T3
65034004840Power CT27^2T2T1
67534005584Power CT27^2T2
67634010672Power CT27^2T1T1
70234011416Power CT27^2T1
72934012160Power CT27^2
74437613928Power N-CT31^2T7
77537666416Power N-CT31^2T6
80637672248Power N-CT31^2T5
83737672992Power N-CT31^2T4
96338086320Power N-CT31^2+2
96538971920perfect hash family15,965,35
97239310200Power N-CT37^2T10T1
99939316032Power N-CT37^2T10
103139553680Power N-CT37^2Trin2,4,4
106039606168Power N-CT37^2Trin1,4,4
108939612000Power N-CT37^2T4T4
109339612720Power N-CT37^2Trin2,2,4
112439665208Power N-CT37^2Trin1,2,4
115539671040Power N-CT37^2T4T2
115939671760Power N-CT37^2Trin2,2,2
118839723528Power N-CT37^2T4T1
119239724248Power N-CT37^2Trin1,2,2
122139729360Power N-CT37^2T4
122539730080Power N-CT37^2T2T2
122639776736Power N-CT37^2Arc(2)T2
126039782568Power N-CT37^2T2T1
129539788400Power N-CT37^2T2
129639835056Power N-CT37^2T1T1
133239840888Power N-CT37^2T1
136939846720Power N-CT37^2
137039857520Power N-CT37^2+1
137442101536Power N-CT41^2Trin2,3,3
140642159856Power N-CT41^2T4T3
144442160576Power N-CT41^2T3T3
150542514888Power N-CT43^2T8
154842567376Power N-CT43^2T7
159142573208Power N-CT43^2T6
163442573928Power N-CT43^2T5
167742928240Power N-CT43^2T4
185042987280Power N-CT43^2+1
193643695760Power N-CT47^2T3T3
206843754800Power N-CT47^2T3
221143813840Power N-CT47^2+2
222144462488Power N-CT53^2Trin4,4,4
224444514904Power N-CT53^2T9T2
231144514976Power N-CT53^2Trin2,4,4
235644520808Power N-CT53^2Trin1,4,4
240144521456Power N-CT53^2T4T4
240544567464Power N-CT53^2Trin2,2,4
245244573296Power N-CT53^2Trin1,2,4
249944573944Power N-CT53^2T4T2
250044579128Power N-CT53^2Arc(2)T4
254844579776Power N-CT53^2T4T1
259744580424Power N-CT53^2T4
260144626432Power N-CT53^2T2T2
260244631616Power N-CT53^2Arc(2)T2
265244632264Power N-CT53^2T2T1
270344632912Power N-CT53^2T2
270444638096Power N-CT53^2T1T1
275644638744Power N-CT53^2T1
280944639392Power N-CT53^2
281144640400Power N-CT53^2+2
287747231312Power N-CT73^2Trin4,18,18
288047283728Power N-CT73^2Trin1,18,20
298847283800Power N-CT73^2Trin1,18,18
302547289632Power N-CT73^2T18T18
310647585624Power N-CT73^2Trin9,9,18
315047638112Power N-CT73^2Trin1,15,18
319047643944Power N-CT73^2T18T15
321647644592Power N-CT73^2Trin4,9,20
333647644664Power N-CT73^2Trin4,9,18
334847697080Power N-CT73^2Trin1,9,20
347447697152Power N-CT73^2Trin1,9,18
352047702984Power N-CT73^2T18T9
359147703704Power N-CT73^2Trin4,4,18
360847756120Power N-CT73^2Trin1,4,20
374447756192Power N-CT73^2Trin1,4,18
379547762024Power N-CT73^2T18T4
380147797016Power N-CT73^2Arc(4)T18
385347802848Power N-CT73^2Arc(3)T18
390647808680Power N-CT73^2Arc(2)T18
396047814512Power N-CT73^2T18T1
401547820344Power N-CT73^2T18
404148110504Power N-CT73^2Trin1,9,9
409648116336Power N-CT73^2T9T9
417648117056Power N-CT73^2Trin4,4,9
435648169544Power N-CT73^2Trin1,4,9
441648175376Power N-CT73^2T9T4
450148176096Power N-CT73^2Trin4,4,4
454548222032Power N-CT73^2Arc(2)T9
460848227864Power N-CT73^2T9T1
469648228584Power N-CT73^2Trin1,4,4
476148234416Power N-CT73^2T4T4
476748269408Power N-CT73^2Arc(4)T4
483348275240Power N-CT73^2Arc(3)T4
490048281072Power N-CT73^2Arc(2)T4
496848286904Power N-CT73^2T4T1
503748292736Power N-CT73^2T4
504348327728Power N-CT73^2Arc(4)
511348333560Power N-CT73^2Arc(3)
518448339392Power N-CT73^2T1T1
525648345224Power N-CT73^2T1
533148351056Power N-CT73^2+2
533248360416Power N-CT73^2+3
533448361040perfect hash family13,5334,78
535948656264Power N-CT79^2Arc(12)
542748951488Power N-CT79^2Arc(11)
549649246712Power N-CT79^2Arc(10)
556649541936Power N-CT79^2Arc(9)
563749837160Power N-CT79^2Arc(8)
570950132384Power N-CT79^2Arc(7)
578250427608Power N-CT79^2Arc(6)
585650722832Power N-CT79^2Arc(5)
593151018056Power N-CT79^2Arc(4)
600751313280Power N-CT79^2Arc(3)
608451608504Power N-CT79^2T1T1
616251903728Power N-CT79^2T1
624152198952Power N-CT79^2
630852612160Power N-CT83^2T7
647452612208Power N-CT83^2T5
655752907432Power N-CT83^2T4
688952966472Power N-CT83^2
694253320688Power N-CT89^2T11
703153615912Power N-CT89^2T10
738753674952Power N-CT89^2T6
792453733992Power N-CT89^2+3
802954324392Power N-CT97^2Trin5,5,5
846454383432Power N-CT97^2T5T5
892454442472Power N-CT97^2T5
941154501512Power N-CT97^2+2
960755026392Power N-CT101^2Trin2,2,2
984455072328perfect hash family13,11449,107T15
1000055131368perfect hash family13,10609,103T4
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