Table for CAN(6,k,3) for k up to 10000

Last Updated Tue Nov 21 02:19:04 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,3) 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
7729orthogonal array
81134Torres-Jimenez
913774-Restricted SCPHF RE (CL)
1014313-Restricted SCPHF RE (CL)
111449SCPHF Tabu Search (Walker-Colbourn)
122181SCPHF Tabu Search (Walker-Colbourn)
1326675-Restricted SCPHF RE (CL)
142907SCPHF Tabu Search (Walker-Colbourn)
153216Density (Colbourn) postop NCK
163433Density (Colbourn) postop NCK
173653Density (Colbourn) postop NCK
183839Density (Colbourn) postop NCK
194050Density (Colbourn) postop NCK
204359Density Mult Cyclic (Colbourn) postop NCK
214534Density Mult Cyclic (Colbourn) postop NCK
224699Density Mult Cyclic (Colbourn) postop NCK
234854Density Mult Cyclic (Colbourn) postop NCK
245032Density Mult Cyclic (Colbourn) postop NCK
255178Density Mult Cyclic (Colbourn) postop NCK
265351Density Mult Cyclic (Colbourn) postop NCK
275478Density Mult Cyclic (Colbourn) postop NCK
285631Density Mult Cyclic (Colbourn)
295757Density Mult Cyclic (Colbourn)
305883Density Mult Cyclic (Colbourn)
316245IPOGF postop FSGF (RC-TJ)
326348IPOGF postop FSGF (RC-TJ)
336461IPOGF postop FSGF (RC-TJ)
346583IPOGF postop FSGF (RC-TJ)
356715IPOGF postop FSGF (RC-TJ)
366832IPOGF postop FSGF (RC-TJ)
376932IPOGF postop FSGF (RC-TJ)
387036IPOGF postop FSGF (RC-TJ)
397131IPOGF postop FSGF (RC-TJ)
407233IPOGF postop FSGF (RC-TJ)
417315IPOGF postop FSGF (RC-TJ)
427411IPOGF postop FSGF (RC-TJ)
437506IPOGF postop FSGF (RC-TJ)
447600IPOGF postop FSGF (RC-TJ)
457702IPOGF postop FSGF (RC-TJ)
467766IPOGF postop FSGF (RC-TJ)
477856IPOGF postop FSGF (RC-TJ)
488087simulated annealing (AG-TJ-H)
508108IPOGF postop FSGF (RC-TJ)
518179IPOGF postop FSGF (RC-TJ)
52101795-Restricted SCPHF RE (CL)
54104195-Restricted SCPHF RE (CL)
55106595-Restricted SCPHF RE (CL)
58106655-Restricted SCPHF RE (CL)
61109115-Restricted SCPHF RE (CL)
62111455-Restricted SCPHF RE (CL)
63111515-Restricted SCPHF RE (CL)
64113855-Restricted SCPHF RE (CL)
6611619SCPHF Random Extension (CLS)
68116315-Restricted SCPHF RE (CL)
69116375-Restricted SCPHF RE (CL)
72118715-Restricted SCPHF RE (CL)
74121115-Restricted SCPHF RE (CL)
75123213-Restricted SCPHF RE (CL)
77123635-Restricted SCPHF RE (CL)
78126035-Restricted SCPHF RE (CL)
82128315-Restricted SCPHF RE (CL)
85128495-Restricted SCPHF RE (CL)
86129934-Restricted SCPHF RE (CL)
87130652-Restricted SCPHF RE (CL)
88130895-Restricted SCPHF RE (CL)
92133235-Restricted SCPHF RE (CL)
93133295-Restricted SCPHF RE (CL)
96135635-Restricted SCPHF RE (CL)
97135695-Restricted SCPHF RE (CL)
99137912-Restricted SCPHF RE (CL)
101138035-Restricted SCPHF RE (CL)
102138095-Restricted SCPHF RE (CL)
10814523SCPHF Random Extension (CLS)
12215249SCPHF Random Extension (CLS)
12315289CPHF Random Extension (CLS)
14215975SCPHF Random Extension (CLS)
14416017CPHF Random Extension (CLS)
16616701SCPHF Random Extension (CLS)
19217427SCPHF Random Extension (CLS)
19317473CPHF Random Extension (CLS)
20418153SCPHF Random Extension (CLS)
20522167Add 1 factors
20624921Add 2 factors
20726325Add 3 factors
20830339Add 3 factors
20933093Add 3 factors
21034497Add 3 factors
21138511Add 3 factors
22441141Power CZ2-16.12-14.1
22541191Power CZ2-16.11-15.1-15.1
24041423Power CZ2-16.12-15.1
25641667Power CZ2-16.13
27244274Power CZ2-17.12-16.1
28944500Power CZ2-17.13
29046994Power CZ2-18.13
29148754Power CZ2-19.9-18.4
30748965Power CZ2-19.10-18.3
32449176Power CZ2-19.11-18.1-18.1
34249387Power CZ2-19.12-18.1
36149598Power CZ2-19.13
36253074Power CZ2-20.13
36355373Power CZ2-21.13
36457513Power CZ2-22.13
36758126Power CZ2-23.8-22.4-19.1
36858193Power CZ2-23.12-16.1
37058240Power CZ2-23.7-22.5-20.1
37458246Power CZ2-23.11-17.1-22.1
37958261Power CZ2-23.10-22.2-18.1
38058281Power CZ2-23.11-19.1-20.1
38358296Power CZ2-23.9-22.3-19.1
38658409Power CZ2-23.8-22.4-20.1
39158418Power CZ2-23.12-17.1
39658433Power CZ2-23.11-18.1-22.1
40058466Power CZ2-23.10-22.2-19.1
40358579Power CZ2-23.9-22.3-20.1
40658597Power CZ2-23.7-22.6
41458605Power CZ2-23.12-18.1
41858638Power CZ2-23.11-19.1-22.1
42158749Power CZ2-23.10-22.2-20.1
42458766Power CZ2-23.8-22.5
43758810Power CZ2-23.12-19.1
44058921Power CZ2-23.11-20.1-22.1
44358936Power CZ2-23.9-22.4
46059093Power CZ2-23.12-20.1
46359106Power CZ2-23.10-22.3
48459278Power CZ2-23.11-22.1-22.1
50659450Power CZ2-23.12-22.1
52959622Power CZ2-23.13
53061786Power CZ2-24.13
53163109Power CZ2-25.9-24.4
55063240Power CZ2-25.12-22.1
55263245Power CZ2-25.11-23.1-24.1
55363261Power CZ2-25.10-24.3
57563399Power CZ2-25.12-23.1
57663415Power CZ2-25.11-24.1-24.1
60063569Power CZ2-25.12-24.1
62563723Power CZ2-25.13
62665775Power CZ2-26.13
62766901Power CZ2-27.9-26.4
65067027Power CZ2-27.11-25.1-26.1
65167039Power CZ2-27.10-26.3
67667177Power CZ2-27.11-26.1-26.1
70267327Power CZ2-27.12-26.1
72967477Power CZ2-27.13
73073190Power CT27^2+1
73174324Power CT29^2Arc(4)
75474422Power CT29^2T3
75674423Power CT29^2T2T1
75774450Power CT29^2Arc(3)
78374549Power CT29^2T2
78474576Power CT29^2T1T1
81274702Power CT29^2T1
84174828Power CT29^2
84276466Power CT29^2+1
84379724Power CT31^2Arc(4)
87180086Power CT31^2Arc(3)
90080448Power CT31^2T1T1
93080810Power CT31^2T1
96181172Power CT31^2
99282408Power CT32^2T1
102482511Power CT32^2
102583980Power CT32^2+1
102685566Power CT32^2+2
102787282Power CT32^2+3
103688802Power CT37^2T9
104488828Power CT37^2T8T1
105088837Power CT37^2T7T2
105188854Power CT37^2Arc(2)T7
107388928Power CT37^2T8
108088954Power CT37^2T7T1
111089054Power CT37^2T7
112289283Power CT37^2T4T3
112589305Power CT37^2Trin1,3,3
112689320Power CT37^2Arc(6):2 twos,0 ones 3 ext
112789337Power CT37^2Arc(8):1 twos,2 ones 3 ext
112889352Power CT37^2Arc(8):3 twos,1 ones
112989369Power CT37^2Arc(10):2 twos,3 ones
113089386Power CT37^2Arc(5)T2
113189403Power CT37^2Arc(7)
115689405Power CT37^2T3T3
115889437Power CT37^2Arc(6):1 twos,1 ones 3 ext
115989452Power CT37^2Arc(6):3 twos,0 ones
116089469Power CT37^2Arc(8):2 twos,2 ones
116189486Power CT37^2Arc(4)T2
116289503Power CT37^2Arc(6)
118489519Power CT37^2T5
118889532Power CT37^2T4T1
119089537Power CT37^2T3T2
119189554Power CT37^2Arc(2)T3
119289569Power CT37^2Arc(6):2 twos,1 ones
119389586Power CT37^2Arc(3)T2
119489603Power CT37^2Arc(5)
122189632Power CT37^2T4
122489654Power CT37^2T3T1
122589669Power CT37^2T2T2
122689686Power CT37^2Arc(2)T2
122789703Power CT37^2Arc(4)
125889754Power CT37^2T3
126089786Power CT37^2T2T1
126189803Power CT37^2Arc(3)
129589886Power CT37^2T2
129689903Power CT37^2T1T1
133290003Power CT37^2T1
136990103Power CT37^2
137091455Power CT37^2+1
137192690Power CT37^2+2
137294016Power CT37^2+3
137394331Power CT41^2Arc(6):2 twos,0 ones 4 ext
137494340Power CT41^2Trin2,3,3
137794346Power CT41^2Arc(8):4 twos,0 ones
139494350Power CT41^2T7
140094400Power CT41^2T6T1
140494415Power CT41^2T5T2
140694420Power CT41^2T4T3
140894433Power CT41^2Arc(6):1 twos,1 ones 4 ext
141094435Power CT41^2Arc(6):2 twos,0 ones 3 ext
141294448Power CT41^2Arc(8):3 twos,1 ones
141394468Power CT41^2Arc(10):2 twos,3 ones
143594482Power CT41^2T6
144394515Power CT41^2T4T2
144494524Power CT41^2T3T3
144794530Power CT41^2Arc(6):3 twos,0 ones
144894550Power CT41^2Arc(8):2 twos,2 ones
144994570Power CT41^2Arc(4)T2
145094590Power CT41^2Arc(6)
147694599Power CT41^2T5
148094617Power CT41^2T4T1
148294619Power CT41^2T3T2
148494632Power CT41^2Arc(6):2 twos,1 ones
148594652Power CT41^2Arc(3)T2
148694672Power CT41^2Arc(5)
151794699Power CT41^2T4
152194714Power CT41^2T2T2
152294734Power CT41^2Arc(2)T2
152394754Power CT41^2Arc(4)
155894803Power CT41^2T3
156094816Power CT41^2T2T1
156194836Power CT41^2Arc(3)
159994898Power CT41^2T2
160094918Power CT41^2T1T1
164095000Power CT41^2T1
168195082Power CT41^2
168296330Power CT41^2+1
168397185Power CT43^2Arc(4)
172297279Power CT43^2T2T1
172397280Power CT43^2Arc(3)
176397374Power CT43^2T2
176497375Power CT43^2T1T1
180697470Power CT43^2T1
184997565Power CT43^2
185098787Power CT43^2+1
1851100113Power CT43^2+2
1852100945Power CT43^2+3
1861101395Power CT47^2Arc(8)
1886101484Power CT47^2T6T1
1901101485Power CT47^2Arc(7)
1927101574Power CT47^2T6
1942101575Power CT47^2Arc(6)
1984101665Power CT47^2Arc(5)
2027101755Power CT47^2Arc(4)
2071101845Power CT47^2Arc(3)
2116101935Power CT47^2T1T1
2162102025Power CT47^2T1
2209102115Power CT47^2
2254105049Power CT49^2T3
2256105118Power CT49^2T2T1
2303105139Power CT49^2T2
2304105349Power CT49^2T1T1
2352105370Power CT49^2T1
2402105391Power CT49^2+1
2403106314Power CT49^2+2
2420113970Power CZ3-25.22-11.1-11.1-20.1
2541114160Power CZ3-25.22-11.1-11.1-21.1
2662114327Power CZ3-25.22-11.1-11.1-22.1
2783114486Power CZ3-25.22-11.1-11.1-23.1
2904114656Power CZ3-25.22-11.1-11.1-24.1
3025114810Power CZ3-25.23-11.1-11.1
3311114957Power CZ3-25.0-24.24-11.1
3333115102Power CZ3-25.1-24.23-11.1
3366115247Power CZ3-25.2-24.22-11.1
3410115393Power CZ3-25.3-24.21-11.1
3465115539Power CZ3-25.4-24.20-11.1
3510115618Power CZ3-25.0-24.8-23.17
3531115685Power CZ3-25.5-24.19-11.1
3612115689Power CZ3-25.0-24.24-12.1
3662115775Power CZ3-25.0-24.9-23.16
3685115925Power CZ3-25.1-24.8-23.16
3821115932Power CZ3-25.0-24.10-23.15
3845116082Power CZ3-25.1-24.9-23.15
3987116089Power CZ3-25.0-24.11-23.14
4012116239Power CZ3-25.1-24.10-23.14
4160116246Power CZ3-25.0-24.12-23.13
4186116396Power CZ3-25.1-24.11-23.13
4340116414Power CZ3-25.0-24.13-23.12
4368116559Power CZ3-25.1-24.12-23.12
4528116582Power CZ3-25.0-24.14-23.11
4557116727Power CZ3-25.1-24.13-23.11
4724116760Power CZ3-25.0-24.15-23.10
4755116905Power CZ3-25.1-24.14-23.10
4929116938Power CZ3-25.0-24.16-23.9
4961117083Power CZ3-25.1-24.15-23.9
5143117116Power CZ3-25.0-24.17-23.8
5176117261Power CZ3-25.1-24.16-23.8
5366117294Power CZ3-25.0-24.18-23.7
5418117347Power CZ3-25.0-24.24-18.1
5599117472Power CZ3-25.0-24.19-23.6
5719117558Power CZ3-25.0-24.24-19.1
5842117650Power CZ3-25.0-24.20-23.5
5880117795Power CZ3-25.1-24.19-23.5
6095117828Power CZ3-25.0-24.21-23.4
6135117973Power CZ3-25.1-24.20-23.4
6359118006Power CZ3-25.0-24.22-23.3
6401118151Power CZ3-25.1-24.21-23.3
6635118184Power CZ3-25.0-24.23-23.2
6679118329Power CZ3-25.1-24.22-23.2
6923118362Power CZ3-25.0-24.24-23.1
6969118507Power CZ3-25.1-24.23-23.1
7224118540Power CZ3-25.0-24.25
7272118685Power CZ3-25.1-24.24
7344118830Power CZ3-25.2-24.23
7440118976Power CZ3-25.3-24.22
7560119122Power CZ3-25.4-24.21
7704119268Power CZ3-25.5-24.20
7728119382Power CZ3-25.7-24.17-23.1
7872119414Power CZ3-25.6-24.19
7935119528Power CZ3-25.8-24.16-23.1
7942119529Power CZ3-25.22-19.1-19.1-22.1
8064119560Power CZ3-25.7-24.18
8100119590Power CZ3-25.23-18.1-18.1
8208119647Power CZ3-25.22-18.1-19.1-24.1
8303119688Power CZ3-25.22-19.1-19.1-23.1
8332119788Power CZ3-25.11-24.12-23.2
8550119801Power CZ3-25.23-18.1-19.1
8664119858Power CZ3-25.22-19.1-19.1-24.1
8694119955Power CZ3-25.22-18.1-21.1-23.1
8712119963Power CZ3-25.22-18.1-22.1-22.1
8740119976Power CZ3-25.22-19.1-20.1-23.1
8750119997Power CZ3-25.24-14.1
8784119998Power CZ3-25.10-24.15
8820120005Power CZ3-25.18-24.6-18.1
9025120012Power CZ3-25.23-19.1-19.1
9108120122Power CZ3-25.22-18.1-22.1-23.1
9120120146Power CZ3-25.22-19.1-20.1-24.1
9180120159Power CZ3-25.19-24.5-18.1
9196120174Power CZ3-25.22-19.1-22.1-22.1
9200120199Power CZ3-25.23-16.1-23.1
9216120215Power CZ3-25.22-24.2-16.1
9310120216Power CZ3-25.18-24.6-19.1
9350120260Power CZ3-25.23-17.1-22.1
9384120265Power CZ3-25.22-17.1-23.1-24.1
9450120279Power CZ3-25.23-18.1-21.1
9522120281Power CZ3-25.22-18.1-23.1-23.1
9558120313Power CZ3-25.20-24.4-18.1
9614120333Power CZ3-25.22-19.1-22.1-23.1
9690120370Power CZ3-25.19-24.5-19.1
9775120419Power CZ3-25.23-17.1-23.1
9792120435Power CZ3-25.22-24.2-17.1
9900120446Power CZ3-25.23-18.1-22.1
9936120451Power CZ3-25.22-18.1-23.1-24.1
9954120467Power CZ3-25.21-24.3-18.1
9975120490Power CZ3-25.23-19.1-21.1
10000120492Power CZ3-25.22-19.1-23.1-23.1
 Graph: