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

Last Updated Thu Jun 7 05:19:24 MST 2018

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)
177536565-Restricted SCPHF RE (CL)
187859123-Restricted SCPHF RE (CL)
229830325-Restricted SCPHF RE (CL)
2310157925-Restricted SCPHF RE (CL)
2510444644-Restricted SCPHF RE (CL)
2610484962-Restricted SCPHF RE (CL)
2912451685-Restricted SCPHF RE (CL)
3112779285-Restricted SCPHF RE (CL)
3213066004-Restricted SCPHF RE (CL)
3313106322-Restricted SCPHF RE (CL)
3614745445-Restricted SCPHF RE (CL)
3915073045-Restricted SCPHF RE (CL)
4215400645-Restricted SCPHF RE (CL)
4515687364-Restricted SCPHF RE (CL)
4615723203-Restricted SCPHF RE (CL)
4715727682-Restricted SCPHF RE (CL)
4817366805-Restricted SCPHF RE (CL)
5417694405-Restricted SCPHF RE (CL)
5818022005-Restricted SCPHF RE (CL)
6118308724-Restricted SCPHF RE (CL)
6518344563-Restricted SCPHF RE (CL)
6719660565-Restricted SCPHF RE (CL)
6919988165-Restricted SCPHF RE (CL)
7720315765-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-Restricted SCPHF RE (CL)
10922937125-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)
2384401776Add 1 factors
2395269104Add 2 factors
2405881968Add 3 factors
2416111344Add 4 factors
2426337136Add 8 factors
2456340720Add 8 factors
2467858992Add 8 factors
2478726320Add 8 factors
2489339184Add 8 factors
2499596784Add 8 factors
2509822576Add 8 factors
2519826160Add 8 factors
2539865584Add 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
54215935787perfect 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
96219598985Power N-CT31^2+1
96319659465Power N-CT31^2+2
99220876912Power CT32^2T1
102420905584Power CT32^2
102520970096Power CT32^2+1
103921069258Power N-CT41^2Trin2,8,8
106621069314Power N-CT41^2T15
108921102018Power N-CT41^2T8T8
109821229138Power N-CT41^2Trin2,5,9
113221233170Power N-CT41^2Trin2,5,8
115121233226Power N-CT41^2Trin2,2,10
118821261898Power N-CT41^2Trin2,2,9
122521265930Power N-CT41^2Trin2,2,8
124821294658Power N-CT41^2T9T2
128721298690Power N-CT41^2T8T2
131221327418Power N-CT41^2T9
135321331450Power N-CT41^2T8
144721462602Power N-CT41^2Trin2,2,2
152121495362Power N-CT41^2T2T2
159921528122Power N-CT41^2T2
168221560882Power N-CT41^2+1
168321847602Power N-CT43^2Arc(4)
172321876274Power N-CT43^2Arc(3)
176421904946Power N-CT43^2T1T1
180621933618Power N-CT43^2T1
183321953274Power N-CT47^2T8
185121962290Power N-CT43^2+2
189021982002Power N-CT47^2T5T2
189121985138Power N-CT47^2Arc(2)T5
193221985586Power N-CT47^2T5T1
197421986034Power N-CT47^2T5
198222010226Power N-CT47^2Trin1,2,2
202522010674Power N-CT47^2T2T2
202622013810Power N-CT47^2Arc(2)T2
207022014258Power N-CT47^2T2T1
211522014706Power N-CT47^2T2
211622017842Power N-CT47^2T1T1
216222018290Power N-CT47^2T1
220922018738Power N-CT47^2
221024313506Power N-CT47^2+1
225624542714Power N-CT53^2T6T5
238524571442Power N-CT53^2T8
243824575026Power N-CT53^2T7
249124575474Power N-CT53^2T6
254424739386Power N-CT53^2T5
281024772146Power N-CT53^2+1
281425230786perfect hash family14,2814,58
283925288130Power N-CT59^2Arc(12)
288725316802Power N-CT59^2Arc(11)
293625345474Power N-CT59^2Arc(10)
298625374146Power N-CT59^2Arc(9)
303725402818Power N-CT59^2Arc(8)
308925431490Power N-CT59^2Arc(7)
314225460162Power N-CT59^2Arc(6)
319625488834Power N-CT59^2Arc(5)
325125517506Power N-CT59^2Arc(4)
330725546178Power N-CT59^2Arc(3)
336425574850Power N-CT59^2T1T1
353825603522Power N-CT61^2T3
372125632194Power N-CT61^2
372525682370perfect hash family14,3725,65
376925819115Power N-CT73^2Trin8,8,8
388325950715Power N-CT73^2Trin6,8,8
399725983475Power N-CT73^2Trin4,8,8
422526016235Power N-CT73^2T8T8
435526147835Power N-CT73^2T8T6
448526180595Power N-CT73^2T8T4
474526213355Power N-CT73^2T8
489126344955Power N-CT73^2T6
503726377715Power N-CT73^2T4
533326410475perfect hash family13,5333,77
539526606475Power N-CT83^2T18
577926738075Power N-CT79^2Trin2,2,2
592926770835Power N-CT79^2T2T2
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: