Table for CAN(6,k,8) for k up to 10000

Last Updated Wed Mar 9 06:22:05 MST 2022

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,8) 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
9262144orthogonal array
10450372orthogonal array fuse postop NCK
124915205-Restricted SCPHF RE (CL)
135201924-Restricted SCPHF RE (CL)
14524287CPHF IPO 2 (WCS)
177536565-Restricted SCPHF RE (CL)
187823284-Restricted SCPHF RE (CL)
19786430CPHF IPO 3 (WCS)
229830325,5-Restricted SCPHF RE (CL)
2310157925-Restricted SCPHF RE (CL)
2510444644-Restricted SCPHF RE (CL)
2610484962-Restricted SCPHF RE (CL)
271048573CPHF IPO 4 (WCS)
2912451685,5-Restricted SCPHF RE (CL)
3112779285-Restricted SCPHF RE (CL)
3213066004-Restricted SCPHF RE (CL)
3313106322-Restricted SCPHF RE (CL)
391310716CPHF IPO 5 (WCS)
4215400645-Restricted SCPHF RE (CL)
4515687364-Restricted SCPHF RE (CL)
4615723203-Restricted SCPHF RE (CL)
4715727682-Restricted SCPHF RE (CL)
541572859CPHF IPO 6 (WCS)
5818022005-Restricted SCPHF RE (CL)
6118308724-Restricted SCPHF RE (CL)
6518344563-Restricted SCPHF RE (CL)
721835002CPHF IPO 7 (WCS)
7720315765,5-Restricted SCPHF RE (CL)
8320643365-Restricted SCPHF RE (CL)
8820930084-Restricted SCPHF RE (CL)
9120965923-Restricted SCPHF RE (CL)
9420970402-Restricted SCPHF RE (CL)
10222609525,5,5-Restricted SCPHF RE (CL)
10922937125,5-Restricted SCPHF RE (CL)
11823264725-Restricted SCPHF RE (CL)
12723551444-Restricted SCPHF RE (CL)
12823587283-Restricted SCPHF RE (CL)
13023591762-Restricted SCPHF RE (CL)
1802621368SCPHF Random Extension (CLS)
1812621431CPHF Random Extension (CLS)
2372883504SCPHF Random Extension (CLS)
2384259480Add 1 factors
2395126808Add 2 factors
2405739672Add 3 factors
2415969048Add 4 factors
2426194840Add 8 factors
2456198424Add 8 factors
2467574400Add 8 factors
2478441728Add 8 factors
2489054592Add 8 factors
2499283968Add 8 factors
2509509760Add 8 factors
2519513344Add 8 factors
2539552768Add 8 factors
28310485468perfect hash family4,283,180
28410485657perfect hash family4,285,181T1
28510485720perfect hash family4,285,181
31811271876perfect hash family4,375,237T57
31911271939perfect hash family4,375,237T56
37511534012perfect hash family4,375,237
39513106835perfect hash family5,395,180
39713106898perfect hash family5,405,181S4
39913106961perfect hash family5,405,181S3
40113107024perfect hash family5,405,181S2
40313107087perfect hash family5,405,181T1
40513107150perfect hash family5,405,181
42914155379perfect hash family5,515,223T43
43114155442perfect hash family5,515,223T42
54014417515perfect hash family5,540,237
54115728580perfect hash family6,541,181
54215793491perfect hash family5,550,238S4
55016649976Power CT25^2T3
57516682736Power CT25^2T2
62516711408Power CT25^2
62616772889Power CT27^2Arc(2)T2
65016772966Power CT27^2T2T1
67516773043Power CT27^2T2
67616776998Power CT27^2T1T1
70216777075Power CT27^2T1
72916777152Power CT27^2
78118350010perfect hash family14,1107,40S14
78318480910Power N-CT29^2T2
80118579358perfect hash family14,1107,40S13
84118677505Power N-CT29^2
84219038054perfect hash family14,1107,40S11
89919136145Power N-CT31^2T2
96119168905Power N-CT31^2
96219398505Power N-CT37^2T11
99919398582Power N-CT37^2T10
107319595177Power N-CT37^2T8
114719627937Power N-CT37^2T6
118419656609Power N-CT37^2T5
122119660641Power N-CT37^2T4
137119660725Power N-CT37^2+2
144720872838Power N-CT41^2Trin2,2,2
152121102186Power N-CT41^2T2T2
159921331534Power N-CT41^2T2
168221560882Power N-CT41^2+1
171821752206Power N-CT47^2Trin1,2,8
175521752654Power N-CT47^2T8T2
175621755790Power N-CT47^2Arc(2)T8
179421756238Power N-CT47^2T8T1
183321756686Power N-CT47^2T8
206721757869Power N-CT53^2T14
222621987217Power N-CT53^2T11
238522015889Power N-CT53^2T8
243822019473Power N-CT53^2T7
249122019921Power N-CT53^2T6
281022020012Power N-CT53^2+1
285123592331Power N-CT73^2T27S12
291223592779Power N-CT73^2T26S12
334523592870Power N-CT73^2T19S12
339123789444Power N-CT73^2T19S11
359423822211Power N-CT73^2T15S12
377923850883Power N-CT73^2T12S12
402623854467Power N-CT73^2T8S12
445823855013Power N-CT73^2Arc(13)
451924051587Power N-CT73^2Arc(12)
458124248161Power N-CT73^2Arc(11)
464424444735Power N-CT73^2Arc(10)
470824641309Power N-CT73^2Arc(9)
477324837883Power N-CT73^2Arc(8)
483925034457Power N-CT73^2Arc(7)
490625231031Power N-CT73^2Arc(6)
497425427605Power N-CT73^2Arc(5)
504325624179Power N-CT73^2Arc(4)
511325820753Power N-CT73^2Arc(3)
518426017327Power N-CT73^2T1T1
525626213901Power N-CT73^2T1
533326410475perfect hash family13,5333,77
540426541501Power N-CT79^2Trin2,2,7
554426574261Power N-CT79^2T7T2
597626607021Power N-CT83^2T11
639126803595Power N-CT83^2T6
688926836355Power N-CT83^2
690427201923Power N-CT89^2Arc(6)T6
698227205507Power N-CT89^2Arc(5)T6
706127209091Power N-CT89^2Arc(4)T6
714127212675Power N-CT89^2Arc(3)T6
722227216259Power N-CT89^2Arc(2)T6
730427219843Power N-CT89^2T6T1
738727223427Power N-CT89^2T6
740227234179Power N-CT89^2Arc(6)
748627237763Power N-CT89^2Arc(5)
757127241347Power N-CT89^2Arc(4)
765727244931Power N-CT89^2Arc(3)
774427248515Power N-CT89^2T1T1
783227252099Power N-CT89^2T1
792327255683Power N-CT89^2+2
792627261507perfect hash family13,7926,94
801728896595Power N-CT97^2Trin3,3,9
802628899731Power N-CT97^2Trin3,6,6
829028900179Power N-CT97^2Trin3,3,6
856328900627Power N-CT97^2Trin3,3,3
883629064539Power N-CT97^2T3T3
888829224419Power N-CT101^2T13
919129228003Power N-CT101^2T10
949429228451Power N-CT101^2T7
1000029392363Power N-CT101^2
 Graph: