Table for CAN(4,k,21) for k up to 10000

Last Updated Tue Mar 8 09:01:41 MST 2022

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,21) 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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k N Source

5 194481 Derive from strength 5

6 213003 Derive from strength 5

7 246006 orthogonal array fuse fuse postop NCK

8 260078 orthogonal array fuse fuse postop NCK

9 270146 orthogonal array fuse fuse postop NCK

10 277359 orthogonal array fuse fuse postop NCK

11 279116 orthogonal array fuse fuse postop NCK

12 279395 orthogonal array fuse fuse postop NCK

13 279704 orthogonal array fuse fuse postop NCK

14 279711 orthogonal array fuse fuse postop NCK

15 279792 orthogonal array fuse fuse postop NCK

16 279832 orthogonal array fuse fuse postop NCK

24 279837 orthogonal array fuse fuse

25 390612 orthogonal array fuse fuse fuse fuse postop NCK

26 390617 orthogonal array fuse fuse fuse fuse

28 531429 orthogonal array fuse fuse fuse fuse fuse fuse

30 547511 3-Restricted SCPHF RE (CL) fuse fuse

39 559149 2-Restricted SCPHF RE (CL) fuse fuse

40 717261 Colbourn-Martirosyan-TVT-Walker

42 717461 Colbourn-Martirosyan-TVT-Walker

44 717601 Colbourn-Martirosyan-TVT-Walker

46 717981 Colbourn-Martirosyan-TVT-Walker

48 718441 Colbourn-Martirosyan-TVT-Walker

86 827329 3-Restricted SCPHF RE (CL) fuse fuse

98 838967 2-Restricted SCPHF RE (CL) fuse fuse

107 839517 CPHF IPO 3 (WCS) fuse fuse

170 1095003 3,3-Restricted SCPHF RE (CL) fuse fuse

203 1106641 3,2-Restricted SCPHF RE (CL) fuse fuse

204 1107147 3-Restricted SCPHF RE (CL) fuse fuse

238 1118279 2,2-Restricted SCPHF RE (CL) fuse fuse

242 1118785 2-Restricted SCPHF RE (CL) fuse fuse

247 1119291 SCPHF Random Extension (CLS) fuse fuse

302 1119357 CPHF IPO 4 (WCS) fuse fuse

322 1356482 Colbourn-Martirosyan-TVT-Walker

345 1356564 Colbourn-Martirosyan-TVT-Walker

368 1356605 Colbourn-Martirosyan-TVT-Walker

529 1362171 Colbourn-Martirosyan-TVT-Walker fuse fuse

552 1386408 Colbourn-Martirosyan-TVT-Walker fuse

593 1398097 2,2-Restricted SCPHF RE (CL) fuse fuse

610 1398603 2-Restricted SCPHF RE (CL) fuse fuse

619 1399109 SCPHF Random Extension (CLS) fuse fuse

658 1399197 CPHF IPO 5 (WCS) fuse fuse

895 1642495 3,3,3-Restricted SCPHF RE (CL) fuse fuse

1039 1654639 3,3-Restricted SCPHF RE (CL) fuse fuse

1231 1666277 3,2-Restricted SCPHF RE (CL) fuse fuse

1247 1666783 3-Restricted SCPHF RE (CL) fuse fuse

1305 1677915 2,2-Restricted SCPHF RE (CL) fuse fuse

1380 1678421 2-Restricted SCPHF RE (CL) fuse fuse

1421 1678927 SCPHF Random Extension (CLS) fuse fuse

1461 1679037 CPHF Random Extension (CLS) fuse fuse

2723 1958745 SCPHF Random Extension (CLS) fuse fuse

2806 1958877 CPHF Random Extension (CLS) fuse fuse

2807 2531337 Add a factor

3910 2700541 Colbourn-Martirosyan-TVT-Walker fuse fuse

4669 2712179 Colbourn-Martirosyan-TVT-Walker fuse fuse

4692 2712685 Colbourn-Martirosyan-TVT-Walker fuse fuse

5474 2723817 Colbourn-Martirosyan-TVT-Walker fuse fuse

5566 2724323 Colbourn-Martirosyan-TVT-Walker fuse fuse

5681 2724829 Colbourn-Martirosyan-TVT-Walker fuse fuse

6946 2724895 Colbourn-Martirosyan-TVT-Walker fuse fuse

7248 2772892 Colbourn-Martirosyan-TVT-Walker fuse

10000 2967709 Colbourn-Martirosyan-TVT-Walker fuse fuse

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