Table for CAN(6,k,5) 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,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
715625orthogonal array
825000Xu-Ji-Dong
1028125Quint-Restricted SCPHF RE (C)
1130625Quad-Restricted SCPHF RE (C)
1343745Quint-Restricted SCPHF RE (C)
1446245Quad-Restricted SCPHF RE (C)
1546865SCPHF Random Extension (CLS)
1656245Quint-Restricted SCPHF RE (C)
1759365Quint-Restricted SCPHF RE (C)
1861865Quad-Restricted SCPHF RE (C)
1962485SCPHF Random Extension (CLS)
2071865Quint-Restricted SCPHF RE (C)
2274985Quint-Restricted SCPHF RE (C)
2377485Quad-Restricted SCPHF RE (C)
2484365Quint-Restricted SCPHF RE (C)
2587485Quint-Restricted SCPHF RE (C)
2690605Quint-Restricted SCPHF RE (C)
2793105Quad-Restricted SCPHF RE (C)
2893705Path-Restricted SCPHF RE (C)
3093725SCPHF Random Extension (CLS)
32103105Quint-Restricted SCPHF RE (C)
33106225Quint-Restricted SCPHF RE (C)
36109345SCPHF Random Extension (CLS)
37112485Quint-Restricted SCPHF RE (C)
38118725Quint-Restricted SCPHF RE (C)
42121845Quint-Restricted SCPHF RE (C)
45124965SCPHF Random Extension (CLS)
46124993CPHF Random Extension (CLS)
47131225Quint-Restricted SCPHF RE (C)
48134345Quint-Restricted SCPHF RE (C)
53137465Quint-Restricted SCPHF RE (C)
59140585SCPHF Random Extension (CLS)
62149965Quint-Restricted SCPHF RE (C)
68153085Quint-Restricted SCPHF RE (C)
72156205SCPHF Random Extension (CLS)
75156241CPHF Random Extension (CLS)
76162465Quint-Restricted SCPHF RE (C)
81165585Quint-Restricted SCPHF RE (C)
85168705Quint-Restricted SCPHF RE (C)
91171825SCPHF Random Extension (CLS)
92171865CPHF Random Extension (CLS)
119187445SCPHF Random Extension (CLS)
156203065SCPHF Random Extension (CLS)
201218685SCPHF Random Extension (CLS)
202218737CPHF Random Extension (CLS)
231234305SCPHF Random Extension (CLS)
232341205Add 1 factors
233403305Add 2 factors
234437805Add 3 factors
235450305Add 4 factors
236462805Add 5 factors
237572105Add 5 factors
238634205Add 5 factors
239668705Add 5 factors
240681205Add 5 factors
241693705Add 5 factors
242803005Add 5 factors
243812256perfect hash family4,243,156
256843660Power CT16^2
271859116perfect hash family4,314,199T43
316874736perfect hash family4,316,201
317874944perfect hash family4,317,202
336921596perfect hash family4,366,231T30
337921648perfect hash family4,366,231T29
342936640Power CT19^2T1
366937216perfect hash family4,366,231
3671058916Add 1 factors
4451093420perfect hash family5,445,201
4461093576perfect hash family5,450,202S2
4481093628perfect hash family5,450,202T1
4501093680perfect hash family5,450,202
4631154760Power CT23^2Arc(3)
4711155900perfect hash family5,515,223T22
4731155952perfect hash family5,515,223T21
4841157260Power CT23^2T1T1
5061159760Power CT23^2T1
5291162260Power CT23^2
5301265460Power CT23^2+1
5521299140Power CT25^2T2T1
5751302260Power CT25^2T2
5761306020Power CT25^2T1T1
6001309140Power CT25^2T1
6251312260Power CT25^2
6261359060Power CT25^2+1
6271386560Power CT27^2Arc(4)
6381387120Power CT29^2T7
6481387820Power CT27^2T3
6501388440Power CT27^2T2T1
6511389060Power CT27^2Arc(3)
6671389620Power CT29^2T6
6751390940Power CT27^2T2
6761391560Power CT27^2T1T1
7021394060Power CT27^2T1
7291396560Power CT27^2
7541402740Power CT29^2T3
7561405220Power CT29^2T2T1
7831405240Power CT29^2T2
7841405820Power CT29^2T1T1
8121405840Power CT29^2T1
8421405860Power CT29^2+1
8431509040Power CT31^2Arc(4)
8711518420Power CT31^2Arc(3)
9001527800Power CT31^2T1T1
9601537180Power CT32^2T2
10241546560Power CT32^2
10251593360Power CT32^2+1
10281640160Power CT32^2 +4
10441655860Power CT37^2Arc(10)
10721659000Power CT37^2Arc(9)
11011662140Power CT37^2Arc(8)
11311665280Power CT37^2Arc(7)
11621668420Power CT37^2Arc(6)
11941671560Power CT37^2Arc(5)
12271674700Power CT37^2Arc(4)
12301677696perfect hash family14,1681,41T11
12611677840Power CT37^2Arc(3)
12961680980Power CT37^2T1T1
13321684120Power CT37^2T1
13691687260Power CT37^2
14761693316perfect hash family14,1681,41T5
15171696456perfect hash family14,1681,41T4
15581702696perfect hash family14,1681,41T3
16821705816perfect hash family14,1682,42
16831737016perfect hash family14,1849,43S4
17231740136perfect hash family14,1849,43S3
17641743256perfect hash family14,1849,43S2
18061746376perfect hash family14,1849,43T1
18511749496perfect hash family14,1851,45
18521749888perfect hash family14,1852,46
18611787280perfect hash family14,2209,47S8
19011793512perfect hash family14,2209,47S7
19421799744perfect hash family14,2209,47S6
19841805976perfect hash family14,2209,47S5
20271812208perfect hash family14,2209,47S4
20711818440perfect hash family14,2209,47S3
21161824672perfect hash family14,2209,47S2
21621830904perfect hash family14,2209,47T1
22091837136perfect hash family14,2209,47
22101880816perfect hash family14,2210,48
22261908876perfect hash family14,2809,53T11
23851911996perfect hash family14,2809,53T8
24381912024perfect hash family14,2809,53T7
24911918256perfect hash family14,2809,53T6
25441921376perfect hash family14,2809,53T5
28091924496perfect hash family14,2809,53
28321961936perfect hash family14,3481,59T11
31271965056perfect hash family14,3481,59T6
34811968176perfect hash family14,3481,59
35042009224perfect hash family13,5329,73T25
38692012344perfect hash family13,5329,73T20
43072015464perfect hash family13,5329,73T14
45262024844perfect hash family13,5329,73T11
49642027964perfect hash family13,5329,73T5
49742030940perfect hash family13,5329,73S5
50432030976perfect hash family13,5329,73S4
51132031012perfect hash family13,5329,73S3
51842031048perfect hash family13,5329,73S2
52562031084perfect hash family13,5329,73T1
53312031120perfect hash family13,5331,75
53322112032perfect hash family13,5332,76
53722140092perfect hash family13,6241,79T11
56882143212perfect hash family13,6241,79T7
59252143248perfect hash family13,6241,79T4
60042149472perfect hash family13,6241,79T3
62432152592perfect hash family13,6243,81
63082186912perfect hash family13,6889,83T7
67232190032perfect hash family13,6889,83T2
68912193152perfect hash family13,6891,85
72092227472perfect hash family13,7921,89T8
75652230592perfect hash family13,7921,89T4
79232233712perfect hash family13,7923,91
79242234232perfect hash family13,7924,92
81362405532perfect hash family13,12769,113T41
84752405568perfect hash family13,12769,113T38
85882411792perfect hash family13,12769,113T37
91532414912perfect hash family13,12769,113T32
96052418032perfect hash family13,12769,113T28
100002421152perfect hash family13,12769,113T22
 Graph: