Table for CAN(5,k,5) for k up to 10000

Last Updated Sun May 8 14:02:10 MST 2016

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;5,k,5) 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
63125orthogonal array
74375Ji-Li-Yin
85000Xu-Ji-Dong
96622MIPOG (Younis) postop NCK
107634MIPOG (Younis) postop NCK
118521MIPOG (Younis) postop NCK
129446MIPOG (Younis) postop NCK
1310501MIPOG (Younis) postop NCK
1411509MIPOG (Younis) postop NCK
1512422MIPOG (Younis) postop NCK
1613224MIPOG (Younis) postop NCK
1714795Density Mult Cyclic (Colbourn) postop NCK
1815519Density Mult Cyclic (Colbourn) postop NCK
1916148Density Mult Cyclic (Colbourn) postop NCK
2016825Density Mult Cyclic (Colbourn) postop NCK
2117366Density Mult Cyclic (Colbourn) postop NCK
2217920Density Mult Cyclic (Colbourn) postop NCK
2318476Density Mult Cyclic (Colbourn) postop NCK
2419037Density Mult Cyclic (Colbourn) postop NCK
2519525Density Mult Cyclic (Colbourn)
2620025Density Mult Cyclic (Colbourn)
2720485Density Mult Cyclic (Colbourn)
2820945Density Mult Cyclic (Colbourn)
2921385Density Mult Cyclic (Colbourn)
3021785Density Mult Cyclic (Colbourn)
3122205Density Mult Cyclic (Colbourn)
3222585Density Mult Cyclic (Colbourn)
3322945Density Mult Cyclic (Colbourn)
3424567IPOGF postop FSGF (RC-TJ)
3524932IPOGF postop FSGF (RC-TJ)
3625312IPOGF postop FSGF (RC-TJ)
3725679IPOGF postop FSGF (RC-TJ)
3826019IPOGF postop FSGF (RC-TJ)
3926375IPOGF postop FSGF (RC-TJ)
4026656IPOGF postop FSGF (RC-TJ)
4126996IPOGF postop FSGF (RC-TJ)
4227312IPOGF postop FSGF (RC-TJ)
4327618IPOGF postop FSGF (RC-TJ)
4427938IPOGF postop FSGF (RC-TJ)
4528205IPOGF postop FSGF (RC-TJ)
4628484IPOGF postop FSGF (RC-TJ)
4728778IPOGF postop FSGF (RC-TJ)
4829055IPOGF postop FSGF (RC-TJ)
4929315IPOGF postop FSGF (RC-TJ)
5029584IPOGF postop FSGF (RC-TJ)
5129837IPOGF postop FSGF (RC-TJ)
5230085IPOGF postop FSGF (RC-TJ)
5330351IPOGF postop FSGF (RC-TJ)
5430601IPOGF postop FSGF (RC-TJ)
5530865IPOGF postop FSGF (RC-TJ)
5631111IPOGF postop FSGF (RC-TJ)
5731375IPOGF postop FSGF (RC-TJ)
5831620IPOGF postop FSGF (RC-TJ)
5931881IPOGF postop FSGF (RC-TJ)
6032130IPOGF postop FSGF (RC-TJ)
6132350IPOGF postop FSGF (RC-TJ)
6240430Add 1 factors
6346030Add 2 factors
6448530Add 3 factors
6550810Add 5 factors
6651030Add 5 factors
6759110Add 5 factors
7260991Power CZ2-9.9-8.1
8162613Power CZ2-9.10
8270041Martirosyan-Colbourn
8470357Martirosyan-Colbourn
8670663Martirosyan-Colbourn
8870983Martirosyan-Colbourn
9071250Martirosyan-Colbourn
9271529Martirosyan-Colbourn
9471823Martirosyan-Colbourn
9672100Martirosyan-Colbourn
9872360Martirosyan-Colbourn
10072629Martirosyan-Colbourn
10272882Martirosyan-Colbourn
10473130Martirosyan-Colbourn
10674020Martirosyan-Colbourn
10874270Martirosyan-Colbourn
11074534Martirosyan-Colbourn
11274780Martirosyan-Colbourn
11475044Martirosyan-Colbourn
11675289Martirosyan-Colbourn
11875550Martirosyan-Colbourn
12075799Martirosyan-Colbourn
12276019Martirosyan-Colbourn
12484099Martirosyan-Colbourn
12694179Martirosyan-Colbourn
12896679Martirosyan-Colbourn
13098959Martirosyan-Colbourn
13299179Martirosyan-Colbourn
133100694Power CZ2-13.8-12.3
144101749Power CZ2-13.9-12.1-12.1
156102837Power CZ2-13.10-12.1
169103925Power CZ2-13.11
170114213Power CZ2-14.11
172121292Martirosyan-Colbourn
176121612Martirosyan-Colbourn
180121879Martirosyan-Colbourn
184122158Martirosyan-Colbourn
188122452Martirosyan-Colbourn
192122729Martirosyan-Colbourn
196122989Martirosyan-Colbourn
200123258Martirosyan-Colbourn
204123511Martirosyan-Colbourn
208123759Martirosyan-Colbourn
212124649Martirosyan-Colbourn
216124899Martirosyan-Colbourn
220125163Martirosyan-Colbourn
224125409Martirosyan-Colbourn
228125673Martirosyan-Colbourn
232125918Martirosyan-Colbourn
236126179Martirosyan-Colbourn
240126428Martirosyan-Colbourn
244126744Martirosyan-Colbourn
256131829Power CZ2-16.11
272144833Power CZ2-17.10-16.1
289146404Power CZ2-17.11
304151775Power CZ2-19.9-16.1
306152659Power CZ2-19.8-17.1-18.1
307152696Power CZ2-19.7-18.3
324153333Power CZ2-19.8-18.1-18.1
342154020Power CZ2-19.9-18.1
361154707Power CZ2-19.10
362161190Power CZ2-20.10
363166637Power CZ2-21.10
364172395Power CZ2-22.10
368172672Power CZ2-23.9-16.1
369173276Power CZ2-23.6-22.0-21.4
370173306Power CZ2-23.5-22.2-21.3
371173350Power CZ2-23.4-22.4-21.2
372173411Power CZ2-23.3-22.6-21.1
373173481Power CZ2-23.2-22.8
374173679Power CZ2-23.8-17.1-22.1
378173719Power CZ2-23.8-18.1-21.1
379173778Power CZ2-23.7-22.2-18.1
382173798Power CZ2-23.7-22.1-21.1-19.1
384173818Power CZ2-23.7-21.1-21.1-20.1
386173862Power CZ2-23.6-22.1-21.3
387173906Power CZ2-23.5-22.3-21.2
388173967Power CZ2-23.4-22.5-21.1
389174028Power CZ2-23.3-22.7
391174237Power CZ2-23.9-17.1
396174336Power CZ2-23.8-18.1-22.1
399174356Power CZ2-23.8-19.1-21.1
400174415Power CZ2-23.7-22.2-19.1
403174418Power CZ2-23.7-22.0-21.3
404174462Power CZ2-23.6-22.2-21.2
405174523Power CZ2-23.5-22.4-21.1
406174584Power CZ2-23.4-22.6
414174894Power CZ2-23.9-18.1
418174973Power CZ2-23.8-19.1-22.1
420174993Power CZ2-23.8-20.1-21.1
422175018Power CZ2-23.7-22.1-21.2
423175079Power CZ2-23.6-22.3-21.1
424175140Power CZ2-23.5-22.5
437175531Power CZ2-23.9-19.1
441175574Power CZ2-23.8-21.1-21.1
442175635Power CZ2-23.7-22.2-21.1
443175696Power CZ2-23.6-22.4
460176168Power CZ2-23.9-20.1
462176191Power CZ2-23.8-21.1-22.1
463176252Power CZ2-23.7-22.3
483176749Power CZ2-23.9-21.1
484176808Power CZ2-23.8-22.1-22.1
506177366Power CZ2-23.9-22.1
529177924Power CZ2-23.10
530190360Power N-CT23^2+1
531195240Power N-CT23^2+2
532200240Power N-CT23^2+3
544206302Martirosyan-Colbourn
578207873Martirosyan-Colbourn
579209131Power N-CT29^2Trin2,2,6
581209171Power N-CT29^2Arc(4)T6
583209220Power N-CT29^2Trin2,4,4
584209260Power N-CT29^2Trin3,3,4
586209292Power N-CT29^2Arc(5)T5
590209340Power N-CT29^2Arc(6)T4
593209400Power N-CT29^2Arc(7)T3
594209420Power N-CT29^2T2S8
596209440Power N-CT29^2Arc(10)
598209571Power N-CT29^2T6T3
600209591Power N-CT29^2Trin1,2,6
601209611Power N-CT29^2Arc(3)T6
604209680Power N-CT29^2Trin1,4,4
606209720Power N-CT29^2Trin2,3,4
607209760Power N-CT29^2Trin3,3,3
610209780Power N-CT29^2Arc(5)T4
613209840Power N-CT29^2Arc(6)T3
615209860Power N-CT29^2Arc(7)T2
616209880Power N-CT29^2Arc(9)
621210031Power N-CT29^2T6T2
622210051Power N-CT29^2Arc(2)T6
625210120Power N-CT29^2T4T4
626210152Power N-CT29^2Trin1,2,5
627210172Power N-CT29^2Arc(3)T5
629210180Power N-CT29^2Trin2,2,4
631210220Power N-CT29^2Arc(4)T4
634210280Power N-CT29^2Arc(5)T3
636210300Power N-CT29^2Arc(6)T2
637210320Power N-CT29^2Arc(8)
638210375Power N-CT29^2T7
644210491Power N-CT29^2T6T1
648210592Power N-CT29^2T5T2
649210612Power N-CT29^2Arc(2)T5
650210620Power N-CT29^2T4T3
652210640Power N-CT29^2Trin1,2,4
653210660Power N-CT29^2Arc(3)T4
654210680Power N-CT29^2Trin2,2,3
656210720Power N-CT29^2Arc(4)T3
658210740Power N-CT29^2Arc(5)T2
659210760Power N-CT29^2Arc(7)
667210931Power N-CT29^2T6
672211052Power N-CT29^2T5T1
675211080Power N-CT29^2T4T2
676211100Power N-CT29^2Arc(2)T4
679211140Power N-CT29^2Trin2,2,2
681211180Power N-CT29^2Arc(4)T2
682211200Power N-CT29^2Arc(6)
696211492Power N-CT29^2T5
700211540Power N-CT29^2T4T1
702211580Power N-CT29^2T3T2
704211600Power N-CT29^2Trin1,2,2
705211620Power N-CT29^2Arc(3)T2
706211640Power N-CT29^2Arc(5)
725211980Power N-CT29^2T4
729212040Power N-CT29^2T2T2
730212060Power N-CT29^2Arc(2)T2
731212080Power N-CT29^2Arc(4)
754212480Power N-CT29^2T3
756212500Power N-CT29^2T2T1
757212520Power N-CT29^2Arc(3)
783212940Power N-CT29^2T2
784212960Power N-CT29^2T1T1
812213400Power N-CT29^2T1
841213840Power N-CT29^2
842217840Power N-CT29^2+1
843220360Power N-CT31^2Arc(4)
871220780Power N-CT31^2Arc(3)
900221200Power N-CT31^2T1T1
930221620Power N-CT31^2T1
961222040Power N-CT31^2
962225840Power N-CT31^2+1
963229440Power N-CT31^2+2
964233169Power N-CT41^2Trin5,8,8
968233353Power N-CT41^2Trin1,8,11
970233413Power N-CT41^2Trin1,9,10
977233492Power N-CT41^2Trin2,8,10
978233512Power N-CT41^2Trin2,9,9
984233516Power N-CT41^2Trin3,8,9
989233536Power N-CT41^2Trin4,8,8
990233693Power N-CT41^2T11T8
992233753Power N-CT41^2T10T9
1000233773Power N-CT41^2Trin1,8,10
1001233793Power N-CT41^2Trin1,9,9
1008233872Power N-CT41^2Trin2,8,9
1014233876Power N-CT41^2Trin3,8,8
1023234113Power N-CT41^2T10T8
1024234133Power N-CT41^2T9T9
1032234153Power N-CT41^2Trin1,8,9
1039234232Power N-CT41^2Trin2,8,8
1056234493Power N-CT41^2T9T8
1064234513Power N-CT41^2Trin1,8,8
1089234853Power N-CT41^2T8T8
1090236044Power N-CT41^2Arc(5)T11
1100236124Power N-CT41^2Arc(6)T10
1109236164Power N-CT41^2Arc(7)T9
1117236184Power N-CT41^2Arc(8)T8
1126236464Power N-CT41^2Arc(5)T10
1128236500Power N-CT41^2Trin1,6,8
1135236504Power N-CT41^2Arc(6)T9
1143236524Power N-CT41^2Arc(7)T8
1153236804Power N-CT41^2Arc(4)T10
1155236840Power N-CT41^2T8T6
1162236844Power N-CT41^2Arc(5)T9
1170236864Power N-CT41^2Arc(6)T8
1171237064Power N-CT41^2Arc(2)T11
1181237144Power N-CT41^2Arc(3)T10
1190237184Power N-CT41^2Arc(4)T9
1198237204Power N-CT41^2Arc(5)T8
1200237404Power N-CT41^2T11T1
1210237484Power N-CT41^2Arc(2)T10
1219237524Power N-CT41^2Arc(3)T9
1227237544Power N-CT41^2Arc(4)T8
1230237744Power N-CT41^2T11
1240237824Power N-CT41^2T10T1
1249237864Power N-CT41^2Arc(2)T9
1257237884Power N-CT41^2Arc(3)T8
1271238164Power N-CT41^2T10
1280238204Power N-CT41^2T9T1
1288238224Power N-CT41^2Arc(2)T8
1312238544Power N-CT41^2T9
1320238564Power N-CT41^2T8T1
1353238904Power N-CT41^2T8
1360240186Power N-CT41^2T7T1
1366240211Power N-CT41^2Arc(2)T6
1381240235Power N-CT41^2Arc(8)
1394240526Power N-CT41^2T7
1400240551Power N-CT41^2T6T1
1415240575Power N-CT41^2Arc(7)
1435240891Power N-CT41^2T6
1450240915Power N-CT41^2Arc(6)
1486241255Power N-CT41^2Arc(5)
1523241595Power N-CT41^2Arc(4)
1561241935Power N-CT41^2Arc(3)
1600242275Power N-CT41^2T1T1
1640242615Power N-CT41^2T1
1681242955Power N-CT41^2
1682245799Power N-CT41^2+1
1683247329Power N-CT43^2Arc(4)
1720247591Power N-CT43^2T3
1722247625Power N-CT43^2T2T1
1723247635Power N-CT43^2Arc(3)
1763247931Power N-CT43^2T2
1764247941Power N-CT43^2T1T1
1806248247Power N-CT43^2T1
1849248553Power N-CT43^2
1850251433Power N-CT43^2+1
1851253836Power N-CT43^2+2
1852256347Power N-CT43^2+3
1861256641Power N-CT47^2Arc(8)
1880256871Power N-CT47^2T7
1886256917Power N-CT47^2T6T1
1901256935Power N-CT47^2Arc(7)
1927257211Power N-CT47^2T6
1942257229Power N-CT47^2Arc(6)
1984257523Power N-CT47^2Arc(5)
2027257817Power N-CT47^2Arc(4)
2071258111Power N-CT47^2Arc(3)
2116258405Power N-CT47^2T1T1
2162258699Power N-CT47^2T1
2209258993Power N-CT47^2
2210261486Power N-CT47^2+1
2211263826Power N-CT47^2+2
2212266247Power N-CT47^2+3
2218269953Power N-CT53^2Arc(5)T7
2224269981Power N-CT53^2Arc(6)T6
2233269986Power N-CT53^2Arc(8)T4
2236269989Power N-CT53^2Arc(9)T3
2245270205Power N-CT53^2Arc(2)T9
2253270206Power N-CT53^2Arc(3)T8
2260270219Power N-CT53^2Arc(4)T7
2280270242Power N-CT53^2Arc(9)T2
2288270471Power N-CT53^2T9T1
2296270472Power N-CT53^2Arc(2)T8
2303270485Power N-CT53^2Arc(3)T7
2323270508Power N-CT53^2Arc(8)T2
2332270737Power N-CT53^2T9
2340270738Power N-CT53^2T8T1
2347270751Power N-CT53^2Arc(2)T7
2368270756Power N-CT53^2Arc(9)
2385271004Power N-CT53^2T8
2392271017Power N-CT53^2T7T1
2413271022Power N-CT53^2Arc(8)
2438271283Power N-CT53^2T7
2459271288Power N-CT53^2Arc(7)
2506271554Power N-CT53^2Arc(6)
2554271820Power N-CT53^2Arc(5)
2603272086Power N-CT53^2Arc(4)
2653272352Power N-CT53^2Arc(3)
2704272618Power N-CT53^2T1T1
2756272884Power N-CT53^2T1
2809273150Power N-CT53^2
2810275400Power N-CT53^2+1
2811277776Power N-CT53^2+2
2812279990Power N-CT53^2+3
2836283801Power N-CT59^2Arc(9)T3
2884284062Power N-CT59^2Arc(8)T3
2886284065Power N-CT59^2Arc(9)T2
2933284323Power N-CT59^2Arc(7)T3
2935284326Power N-CT59^2Arc(8)T2
2986284571Power N-CT59^2Arc(9)
3037284832Power N-CT59^2Arc(8)
3089285093Power N-CT59^2Arc(7)
3142285354Power N-CT59^2Arc(6)
3196285615Power N-CT59^2Arc(5)
3251285876Power N-CT59^2Arc(4)
3307286137Power N-CT59^2Arc(3)
3364286398Power N-CT59^2T1T1
3422286659Power N-CT59^2T1
3481286920Power N-CT59^2
3482289161Power N-CT59^2+1
3483290261Power N-CT61^2Arc(4)
3538290411Power N-CT61^2T3
3540290452Power N-CT61^2T2T1
3541290481Power N-CT61^2Arc(3)
3599290672Power N-CT61^2T2
3600290701Power N-CT61^2T1T1
3660290921Power N-CT61^2T1
3721291141Power N-CT61^2
3722315941Add 1 factors
3723325941Add 2 factors
3724328441Add 3 factors
3726330941Add 5 factors
3752335839Power CZ3-23.2-22.18-14.1
3885335892Power CZ3-23.0-22.20-15.1
3945336336Power CZ3-23.1-22.19-15.1
4144336694Power CZ3-23.0-22.20-16.1
4208337138Power CZ3-23.1-22.19-16.1
4288337582Power CZ3-23.2-22.18-16.1
4311337702Power CZ3-23.0-22.15-21.6
4384338122Power CZ3-23.3-22.17-16.1
4403338249Power CZ3-23.0-22.20-17.1
4516338312Power CZ3-23.0-22.16-21.5
4587338756Power CZ3-23.1-22.15-21.5
4662338906Power CZ3-23.0-22.20-18.1
4731338922Power CZ3-23.0-22.17-21.4
4734339350Power CZ3-23.1-22.19-18.1
4805339366Power CZ3-23.1-22.16-21.4
4956339539Power CZ3-23.0-22.18-21.3
5033339983Power CZ3-23.1-22.17-21.3
5192340156Power CZ3-23.0-22.19-21.2
5272340600Power CZ3-23.1-22.18-21.2
5439340773Power CZ3-23.0-22.20-21.1
5523341217Power CZ3-23.1-22.19-21.1
5698341390Power CZ3-23.0-22.21
5786341834Power CZ3-23.1-22.20
5888342276Power CZ3-23.19-16.1-16.1
5896342278Power CZ3-23.2-22.19
5901342741Power CZ3-23.4-22.16-21.1
6028342818Power CZ3-23.3-22.18
6072343126Power CZ3-23.19-12.1-22.1
6182343358Power CZ3-23.4-22.17
6202343562Power CZ3-23.16-22.4-14.1
6279343597Power CZ3-23.19-13.1-21.1
6292343656Power CZ3-23.18-22.2-13.1
6348343684Power CZ3-23.20-12.1
6358343904Power CZ3-23.5-22.16
6360343938Power CZ3-23.15-22.5-15.1
6384343960Power CZ3-23.18-16.1-19.1-21.1
6400344016Power CZ3-23.18-16.1-20.1-20.1
6440344038Power CZ3-23.19-14.1-20.1
6468344061Power CZ3-23.18-14.1-21.1-22.1
6482344120Power CZ3-23.17-22.3-14.1
6496344184Power CZ3-23.14-22.6-16.1
6578344214Power CZ3-23.19-13.1-22.1
6615344376Power CZ3-23.18-15.1-21.1-21.1
6645344494Power CZ3-23.16-22.4-15.1
6688344577Power CZ3-23.18-16.1-19.1-22.1
6720344597Power CZ3-23.18-16.1-20.1-21.1
6762344619Power CZ3-23.19-14.1-21.1
6776344678Power CZ3-23.18-22.2-14.1
6784344740Power CZ3-23.15-22.5-16.1
6877344772Power CZ3-23.20-13.1
6900344970Power CZ3-23.19-15.1-20.1
6930344993Power CZ3-23.18-15.1-21.1-22.1
6945345052Power CZ3-23.17-22.3-15.1
6992345135Power CZ3-23.19-16.1-19.1
7056345178Power CZ3-23.18-16.1-21.1-21.1
7084345236Power CZ3-23.19-14.1-22.1
7088345296Power CZ3-23.16-22.4-16.1
7245345551Power CZ3-23.19-15.1-21.1
7260345610Power CZ3-23.18-22.2-15.1
7360345772Power CZ3-23.19-16.1-20.1
7406345794Power CZ3-23.20-14.1
7408345854Power CZ3-23.17-22.3-16.1
7590346168Power CZ3-23.19-15.1-22.1
7728346353Power CZ3-23.19-16.1-21.1
7744346412Power CZ3-23.18-22.2-16.1
7935346726Power CZ3-23.20-15.1
8096346970Power CZ3-23.19-16.1-22.1
8464347528Power CZ3-23.20-16.1
8478348141Power CZ3-23.16-22.2-21.3
8500348202Power CZ3-23.15-22.4-21.2
8526348263Power CZ3-23.14-22.6-21.1
8558348324Power CZ3-23.13-22.8
8602348535Power CZ3-23.19-17.1-22.1
8694348575Power CZ3-23.19-18.1-21.1
8740348631Power CZ3-23.19-19.1-20.1
8778348654Power CZ3-23.18-19.1-21.1-22.1
8820348674Power CZ3-23.18-20.1-21.1-21.1
8861348697Power CZ3-23.17-22.1-21.3
8881348758Power CZ3-23.16-22.3-21.2
8904348819Power CZ3-23.15-22.5-21.1
8932348880Power CZ3-23.14-22.7
8993349093Power CZ3-23.20-17.1
9108349192Power CZ3-23.19-18.1-22.1
9177349212Power CZ3-23.19-19.1-21.1
9261349255Power CZ3-23.18-22.0-21.3
9282349314Power CZ3-23.17-22.2-21.2
9303349375Power CZ3-23.16-22.4-21.1
9328349436Power CZ3-23.15-22.6
9522349750Power CZ3-23.20-18.1
9614349829Power CZ3-23.19-19.1-22.1
9660349849Power CZ3-23.19-20.1-21.1
9702349872Power CZ3-23.18-22.1-21.2
9723349931Power CZ3-23.17-22.3-21.1
9746349992Power CZ3-23.16-22.5
10000350387Power CZ3-23.20-19.1
 Graph: