Table for CAN(6,k,4) 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,4) 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
74096orthogonal array
97168Quint-Restricted SCPHF RE (C)
107936Quad-Restricted SCPHF RE (C)
118128Tri-Restricted SCPHF RE (C)
1211260Quint-Restricted SCPHF RE (C)
1312028Quad-Restricted SCPHF RE (C)
1414332Quint-Restricted SCPHF RE (C)
1515352Quint-Restricted SCPHF RE (C)
1616312Tri-Restricted SCPHF RE (C)
1718424Quint-Restricted SCPHF RE (C)
1819444Quint-Restricted SCPHF RE (C)
1920212Quad-Restricted SCPHF RE (C)
2020476CPHF Random Extension (CLS)
2122516Quint-Restricted SCPHF RE (C)
2223536Quint-Restricted SCPHF RE (C)
2324304Quad-Restricted SCPHF RE (C)
2426608Quint-Restricted SCPHF RE (C)
2627628Quint-Restricted SCPHF RE (C)
2728588Tri-Restricted SCPHF RE (C)
2828648SCPHF Random Extension (CLS)
3130700Quint-Restricted SCPHF RE (C)
3232740SCPHF Random Extension (CLS)
3332761CPHF Random Extension (CLS)
3533772Quint-Restricted SCPHF RE (C)
3835812Quint-Restricted SCPHF RE (C)
4036832SCPHF Random Extension (CLS)
4337864Quint-Restricted SCPHF RE (C)
4439904Quint-Restricted SCPHF RE (C)
4940924SCPHF Random Extension (CLS)
5041956Quint-Restricted SCPHF RE (C)
5242976Quint-Restricted SCPHF RE (C)
5443996Quint-Restricted SCPHF RE (C)
5845016SCPHF Random Extension (CLS)
6046048Quint-Restricted SCPHF RE (C)
6548088Quint-Restricted SCPHF RE (C)
6849108SCPHF Random Extension (CLS)
6949141CPHF Random Extension (CLS)
7250140Quint-Restricted SCPHF RE (C)
7551160Quint-Restricted SCPHF RE (C)
7852180Quint-Restricted SCPHF RE (C)
8553200SCPHF Random Extension (CLS)
9053236CPHF Random Extension (CLS)
10357292SCPHF Random Extension (CLS)
10557331CPHF Random Extension (CLS)
12561384SCPHF Random Extension (CLS)
12661426CPHF Random Extension (CLS)
15665476SCPHF Random Extension (CLS)
15765521CPHF Random Extension (CLS)
19469568SCPHF Random Extension (CLS)
19669616CPHF Random Extension (CLS)
21873660SCPHF Random Extension (CLS)
21995836Add 1 factors
220112828Add 2 factors
221121276Add 3 factors
222124348Add 4 factors
223146524Add 4 factors
224163516Add 4 factors
225171964Add 4 factors
226175036Add 4 factors
227197212Add 4 factors
228214204Add 4 factors
229222652Add 4 factors
230225724Add 4 factors
240227394Power CT16^2T1
256228354Power CT16^2
257250530Add 1 factors
272255810Power CT17^2T1
289257922Power CT17^2
290272202Power CT17^2+1
306278268perfect hash family4,306,194
308278460perfect hash family4,308,196
323281166Power CT19^2T2
324281418Power CT19^2T1T1
342282186Power CT19^2T1
361282954Power CT19^2
362286650Power CT19^2+1
363308826Add 1 factors
364328602Add 2 factors
366330798Power CT23^2Trin2,3,3
367331050Power CT23^2tTD:3,3,2
383331818Power CT23^2Trin1,3,3
400332586Power CT23^2T3T3
402333858Power CT23^2Arc(6):1 twos,1 ones 3 ext
403334110Power CT23^2Arc(3)T3
420334626Power CT23^2T3T2
421334878Power CT23^2Arc(2)T3
440335646Power CT23^2T3T1
460336414Power CT23^2T3
462337686Power CT23^2T2T1
463337938Power CT23^2Arc(3)
483338454Power CT23^2T2
484338706Power CT23^2T1T1
506339474Power CT23^2T1
529340242Power CT23^2
530367026Add 1 factors
552382434Power CT25^2T2T1
575383454Power CT25^2T2
576384738Power CT25^2T1T1
600385758Power CT25^2T1
626386778Power CT25^2+1
627396378Power CT27^2Arc(4)
651397338Power CT27^2Arc(3)
676398298Power CT27^2T1T1
702399258Power CT27^2T1
729400218Power CT27^2
730401058Power CT27^2+1
731421578Power CT29^2Arc(4)
757423630Power CT29^2Arc(3)
784425682Power CT29^2T1T1
806426714Power CT31^2T5
837427674Power CT31^2T4
868427734Power CT31^2T3
961429786Power CT31^2
992456306Power CT32^2T1
1024458346Power CT32^2
1025458640Power CT32^2+1
1027472794Power CT32^2+3
1039491154Power CT37^2Arc(10):5 twos,0 ones
1097493194Power CT37^2Arc(8):4 twos,0 ones
1159495234Power CT37^2Arc(6):3 twos,0 ones
1225497274Power CT37^2T2T2
1295499314Power CT37^2T2
1370501354Power CT37^2+1
1372515634Power CT37^2+3
1381521826Power CT41^2Arc(8)
1415522858Power CT41^2Arc(7)
1450523890Power CT41^2Arc(6)
1486524922Power CT41^2Arc(5)
1523525954Power CT41^2Arc(4)
1561526986Power CT41^2Arc(3)
1600528018Power CT41^2T1T1
1634528030Power CT43^2T5
1720529050Power CT43^2T3
1849530082Power CT43^2
1850558642Power CT43^2+1
1862567810Power CT49^2T11
1960568830Power CT49^2T9
2107569862Power CT49^2T6
2156571902Power CT49^2T5
2401572922Power CT49^2
2402587370Power CT49^2+1
2404601650Power CT49^2+3
2413607770Power CT53^2Arc(8)
2459608790Power CT53^2Arc(7)
2506609810Power CT53^2Arc(6)
2554610830Power CT53^2Arc(5)
2603611850Power CT53^2Arc(4)
2653612870Power CT53^2Arc(3)
2704613890Power CT53^2T1T1
2756614910Power CT53^2T1
2810615930Power CT53^2+1
2923626115Power N-CT67^2Trin9,9,9
3021627147Power N-CT67^2Trin7,9,9
3091628167Power N-CT67^2Trin2,2,18
3123628179Power N-CT67^2Trin7,7,9
3266629187Power N-CT67^2Trin2,9,9
3364630207Power N-CT67^2T9T9
3378630219Power N-CT67^2Trin2,7,9
3480631239Power N-CT67^2T9T7
3494631251Power N-CT67^2Trin2,7,7
3658632259Power N-CT67^2Trin2,2,9
3770633279Power N-CT67^2T9T2
3784633291Power N-CT67^2Trin2,2,7
3886634299Power N-CT67^2T9
3900634311Power N-CT67^2T7T2
4099635331Power N-CT67^2Trin2,2,2
4225636351Power N-CT67^2T2T2
4355637371Power N-CT67^2T2
4490638391Power N-CT67^2+1
4491638820Power N-CT67^2+2
4494648744Power N-CT71^2Trin2,3,3
4560648777Power N-CT71^2Trin2,2,3
4627648810Power N-CT71^2Trin2,2,2
4692649776Power N-CT71^2T3T2
4761649809Power N-CT71^2T2T2
4828650775Power N-CT71^2T3
4899650808Power N-CT71^2T2
5042651807Power N-CT71^2+1
5043660987Power N-CT73^2Arc(4)
5113662007Power N-CT73^2Arc(3)
5184663027Power N-CT73^2T1T1
5256664047Power N-CT73^2T1
5331665067Power N-CT73^2+2
5334678327perfect hash family13,5334,78
5359679347Power N-CT79^2Arc(12)
5427680367Power N-CT79^2Arc(11)
5496681387Power N-CT79^2Arc(10)
5566682407Power N-CT79^2Arc(9)
5637683427Power N-CT79^2Arc(8)
5709684447Power N-CT79^2Arc(7)
5782685467Power N-CT79^2Arc(6)
5856686487Power N-CT79^2Arc(5)
5931687507Power N-CT79^2Arc(4)
6052687927Power N-CT89^2T21
6141687960Power N-CT89^2T20
6408688959Power N-CT89^2T17
6675689979Power N-CT89^2T14
6942690999Power N-CT89^2T11
7225691983Power N-CT89^2T4T4
7565692019Power N-CT89^2T4
7922692055Power N-CT89^2+1
8100736671Power N-CT97^2T7T7
8755740691perfect hash family13,10609,103T18
9270740727perfect hash family13,10609,103T13
10000744783Power N-CT101^2
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