Table for CAN(4,k,5) for k up to 10000

Last Updated Sat Oct 13 09:40:14 MST 2018

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;4,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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6625orthogonal array
7910cross-sum (CKRS)
111125Derive from strength 5
1412252-Restricted SCPHF RE (CL)
151245SCPHF Tabu Search (Walker-Colbourn)
2117453-Restricted SCPHF RE (CL)
2418452-Restricted SCPHF RE (CL)
271873CPHF Sim Annealing (TJ-IM)
3022453,3-Restricted SCPHF RE (CL)
3323453,2-Restricted SCPHF RE (CL)
3423653-Restricted SCPHF RE (CL)
3624452,2-Restricted SCPHF RE (CL)
4024652-Restricted SCPHF RE (CL)
412485SCPHF Sim Annealing (TJ-IM)
422497CPHF Sim Annealing (TJ-IM)
4828653,3-Restricted SCPHF RE (CL)
5229653,2-Restricted SCPHF RE (CL)
5429853-Restricted SCPHF RE (CL)
5530652,2-Restricted SCPHF RE (CL)
5830852-Restricted SCPHF RE (CL)
623105SCPHF Tabu Search (Walker-Colbourn)
633121CPHF Sim Annealing (TJ-IM)
6533653,3,3-Restricted SCPHF RE (CL)
7434853,3-Restricted SCPHF RE (CL)
7935853,2-Restricted SCPHF RE (CL)
8336053-Restricted SCPHF RE (CL)
8736852,2-Restricted SCPHF RE (CL)
8837052-Restricted SCPHF RE (CL)
973725SCPHF Conditional Expectation (CLS)
10339853,3,3-Restricted SCPHF RE (CL)
11041053,3-Restricted SCPHF RE (CL)
11342053,2-Restricted SCPHF RE (CL)
12542253-Restricted SCPHF RE (CL)
13243052,2-Restricted SCPHF RE (CL)
1434345SCPHF Conditional Expectation (CLS)
15746053,3,3-Restricted SCPHF RE (CL)
17148253,2-Restricted SCPHF RE (CL)
17948453-Restricted SCPHF RE (CL)
19649252,2-Restricted SCPHF RE (CL)
20049452-Restricted SCPHF RE (CL)
2054965SCPHF Random Extension (CLS)
2074993CPHF Random Extension (CLS)
21452253,3,3-Restricted SCPHF RE (CL)
23253453,3-Restricted SCPHF RE (CL)
25254453,2-Restricted SCPHF RE (CL)
27254653-Restricted SCPHF RE (CL)
28755452,2-Restricted SCPHF RE (CL)
29555652-Restricted SCPHF RE (CL)
3045585SCPHF Random Extension (CLS)
3075617CPHF Random Extension (CLS)
31558453,3,3-Restricted SCPHF RE (CL)
35759653,3-Restricted SCPHF RE (CL)
38260653,2-Restricted SCPHF RE (CL)
39760853-Restricted SCPHF RE (CL)
45361652,2-Restricted SCPHF RE (CL)
45861852-Restricted SCPHF RE (CL)
4646205SCPHF Random Extension (CLS)
4716241CPHF Random Extension (CLS)
48264653,3,3-Restricted SCPHF RE (CL)
50265853,3-Restricted SCPHF RE (CL)
55366853,2-Restricted SCPHF RE (CL)
58267053-Restricted SCPHF RE (CL)
65667852,2-Restricted SCPHF RE (CL)
68268052-Restricted SCPHF RE (CL)
7026825SCPHF Random Extension (CLS)
7066865CPHF Random Extension (CLS)
71970853,3,3-Restricted SCPHF RE (CL)
77872053,3-Restricted SCPHF RE (CL)
85273053,2-Restricted SCPHF RE (CL)
86173253-Restricted SCPHF RE (CL)
97774052,2-Restricted SCPHF RE (CL)
104874252-Restricted SCPHF RE (CL)
10547445SCPHF Random Extension (CLS)
11027489CPHF Random Extension (CLS)
15127555Cyclotomy (Colbourn)
153180452-Restricted SCPHF RE (CL)
16078113CPHF Random Extension (CLS)
20668685SCPHF Random Extension (CLS)
20988737CPHF Random Extension (CLS)
27179305SCPHF Random Extension (CLS)
27889361CPHF Random Extension (CLS)
278911321Add a factor
286111445Cyclotomy mult (Colbourn)
409112273Cyclotomy shift (Colbourn)
442113263Cyclotomy shift (Colbourn)
669113382Cyclotomy shift (Colbourn)
1000013451Cyclotomy (Colbourn)