Table for CAN(6,k,9) 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,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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10531441orthogonal array
11997272extended OA (Colbourn)
121003833Quint-Restricted SCPHF RE (C)
131056321Quad-Restricted SCPHF RE (C)
141062873SCPHF Random Extension (CLS)
181535265Quint-Restricted SCPHF RE (C)
191587753Quad-Restricted SCPHF RE (C)
201594305SCPHF Random Extension (CLS)
232007657Quint-Restricted SCPHF RE (C)
242066697Quint-Restricted SCPHF RE (C)
252119185Quad-Restricted SCPHF RE (C)
262125017Tri-Restricted SCPHF RE (C)
272125761CPHF Random Extension (CLS)
332539089Quint-Restricted SCPHF RE (C)
352598129Quint-Restricted SCPHF RE (C)
382657169SCPHF Random Extension (CLS)
393011481Quint-Restricted SCPHF RE (C)
443070521Quint-Restricted SCPHF RE (C)
493129561Quint-Restricted SCPHF RE (C)
553188601SCPHF Random Extension (CLS)
583542913Quint-Restricted SCPHF RE (C)
643601953Quint-Restricted SCPHF RE (C)
693660993Quint-Restricted SCPHF RE (C)
763720033SCPHF Random Extension (CLS)
783720081CPHF Random Extension (CLS)
794015305Quint-Restricted SCPHF RE (C)
834074345Quint-Restricted SCPHF RE (C)
924133385Quint-Restricted SCPHF RE (C)
994192425Quint-Restricted SCPHF RE (C)
1064251465SCPHF Random Extension (CLS)
1074251521CPHF Random Extension (CLS)
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
47929877952Add 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
99939326112Power N-CT37^2T10
103139562320Power N-CT37^2Trin2,4,4
109339621360Power N-CT37^2Trin2,2,4
115939680400Power N-CT37^2Trin2,2,2
122539739440Power N-CT37^2T2T2
129539798480Power N-CT37^2T2
137039857520Power N-CT37^2+1
137442101536Power N-CT41^2Trin2,3,3
144442160576Power N-CT41^2T3T3
150542514888Power N-CT43^2T8
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
222144463280Power N-CT53^2Trin4,4,4
240144522320Power N-CT53^2T4T4
259744581360Power N-CT53^2T4
281144640400Power N-CT53^2+2
287747238512Power N-CT73^2Trin4,18,18
302547297552Power N-CT73^2T18T18
310647592824Power N-CT73^2Trin9,9,18
333647651864Power N-CT73^2Trin4,9,18
359147710904Power N-CT73^2Trin4,4,18
379547769944Power N-CT73^2T18T4
401547828984Power N-CT73^2T18
417648124256Power N-CT73^2Trin4,4,9
450148183296Power N-CT73^2Trin4,4,4
476148242336Power N-CT73^2T4T4
503748301376Power N-CT73^2T4
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
960755091912Power N-CT101^2Trin2,2,2
980155150952Power N-CT101^2T2T2
984455151624perfect hash family13,11449,107T15
1000055209992perfect hash family13,10609,103T4