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

Last Updated Sat Sep 16 02:03:55 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,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
12491520Quint-Restricted SCPHF RE (C)
13520192Quad-Restricted SCPHF RE (C)
17753656Quint-Restricted SCPHF RE (C)
18785912Tri-Restricted SCPHF RE (C)
22983032Quint-Restricted SCPHF RE (C)
231015792Quint-Restricted SCPHF RE (C)
251044464Quad-Restricted SCPHF RE (C)
261048496Path-Restricted SCPHF RE (C)
291245168Quint-Restricted SCPHF RE (C)
311277928Quint-Restricted SCPHF RE (C)
331310688SCPHF Random Extension (CLS)
361474544Quint-Restricted SCPHF RE (C)
381507304Quint-Restricted SCPHF RE (C)
411540064Quint-Restricted SCPHF RE (C)
471572824SCPHF Random Extension (CLS)
481736680Quint-Restricted SCPHF RE (C)
531769440Quint-Restricted SCPHF RE (C)
581802200Quint-Restricted SCPHF RE (C)
621834960SCPHF Random Extension (CLS)
631835002CPHF Random Extension (CLS)
671966056Quint-Restricted SCPHF RE (C)
681998816Quint-Restricted SCPHF RE (C)
772031576Quint-Restricted SCPHF RE (C)
832064336Quint-Restricted SCPHF RE (C)
912097096SCPHF Random Extension (CLS)
942097145CPHF Random Extension (CLS)
1262359232SCPHF Random Extension (CLS)
1272359288CPHF Random Extension (CLS)
1802621368SCPHF Random Extension (CLS)
1812621431CPHF Random Extension (CLS)
2372883504SCPHF Random Extension (CLS)
2384430000Add 1 factors
2395297328Add 2 factors
2405910192Add 3 factors
2416139568Add 4 factors
2426337136Add 8 factors
2446340720Add 8 factors
2456368944Add 8 factors
2467915440Add 8 factors
2478782768Add 8 factors
2489395632Add 8 factors
2499625008Add 8 factors
2509822576Add 8 factors
2519826160Add 8 factors
2529865584Add 8 factors
2539893808Add 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
54215964011perfect hash family5,550,238S4
55016649976Power CT25^2T3
57516682736Power CT25^2T2
62516711408Power CT25^2
62616775920Power CT25^2+1
65117301018perfect hash family6,651,237
67618284161Power N-CT29^2T3T3
72518476801Power N-CT29^2T4
75418480833Power N-CT29^2T3
84118677505Power N-CT29^2
89919136145Power N-CT31^2T2
96119168905Power N-CT31^2
96319660305Power N-CT31^2+2
99220938232Power CT32^2T1
102520970992Power CT32^2+1
106621069314Power N-CT41^2T15
108921102130Power N-CT41^2T8T8
111621233226Power N-CT41^2T10T5
118921265986Power N-CT41^2T12
127121298746Power N-CT41^2T10
135321331506Power N-CT41^2T8
136821462602Power N-CT41^2T5T3
147621495362Power N-CT41^2T5
155821528122Power N-CT41^2T3
168121560882Power N-CT41^2
169221921242Power N-CT47^2T11
178621954002Power N-CT47^2T9
192721986762Power N-CT47^2T6
220922019522Power N-CT47^2
221024313506Power N-CT47^2+1
225624542770Power N-CT53^2T6T5
249124575530Power N-CT53^2T6
254424739386Power N-CT53^2T5
280924772146Power N-CT53^2
281425230786perfect hash family14,2814,58
283925296306Power N-CT59^2Arc(12)
288725329066Power N-CT59^2Arc(11)
293625361826Power N-CT59^2Arc(10)
298625394586Power N-CT59^2Arc(9)
303725427346Power N-CT59^2Arc(8)
308925460106Power N-CT59^2Arc(7)
314225492866Power N-CT59^2Arc(6)
319625525626Power N-CT59^2Arc(5)
325125558386Power N-CT59^2Arc(4)
330725591146Power N-CT59^2Arc(3)
336425623906Power N-CT59^2T1T1
353825656666Power N-CT61^2T3
372225689426Power N-CT61^2+1
372325690014Power N-CT61^2+2
384426017243Power N-CT73^2T11T11
390626017285Power N-CT73^2T11T10
396926017327Power N-CT73^2T10T10
415426148339Power N-CT73^2T11T6
422126148381Power N-CT73^2T10T6
423426181099Power N-CT73^2T15
428426181141Power N-CT73^2T10T5
452626213859Power N-CT73^2T11
459926213901Power N-CT73^2T10
489126344955Power N-CT73^2T6
496426377715Power N-CT73^2T5
533326410475perfect hash family13,5333,77
577926738075Power N-CT79^2Trin2,2,2
592926770835Power N-CT79^2T2T2
639126803595Power N-CT83^2T6
688926836355Power N-CT83^2
738727229475Power N-CT89^2T6
792327262235Power N-CT89^2+2
792627262872perfect hash family13,7926,94
802629883644Power N-CT97^2Trin3,6,6
829029883693Power N-CT97^2Trin3,3,6
856329883742Power N-CT97^2Trin3,3,3
883630145829Power N-CT97^2T3T3
889230342347perfect hash family13,14478,126T49
957630375107perfect hash family13,14478,126T43
1000030407867perfect hash family13,12769,113T22
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