Table for CAN(3,k,4) for k up to 10000

Last Updated Thu Jan 5 06:12:57 MST 2012

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;3,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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k N Source

6 64 orthogonal array

8 88 Chateauneuf-Kreher NRB

10 112 Chateauneuf-Kreher doubling

12 121 Chateauneuf-Kreher doubling

16 124 Sherwood-Martirosyan-Colbourn

38 152 Cyclotomy (Colbourn)

39 200 Add a factor

54 212 Cyclotomy (Colbourn)

60 242 Chateauneuf-Kreher doubling

64 244 Sherwood-Martirosyan-Colbourn

70 245 Chateauneuf-Kreher doubling

76 248 Chateauneuf-Kreher doubling

96 284 Colbourn-Martirosyan-Trung-Walker

108 287 Colbourn-Martirosyan-Trung-Walker

120 290 Colbourn-Martirosyan-Trung-Walker

140 293 Colbourn-Martirosyan-Trung-Walker

152 296 Colbourn-Martirosyan-Trung-Walker

175 340 Cohen-Colbourn-Ling

190 344 Cohen-Colbourn-Ling

222 364 Sherwood-Martirosyan-Colbourn

228 376 Cohen-Colbourn-Ling

240 390 Cohen-Colbourn-Ling

280 395 Cohen-Colbourn-Ling

304 400 Cohen-Colbourn-Ling

384 444 Cohen-Colbourn-Ling

432 450 Cohen-Colbourn-Ling

480 456 Cohen-Colbourn-Ling

532 461 Colbourn-Martirosyan-Trung-Walker

560 462 Cohen-Colbourn-Ling

608 468 Cohen-Colbourn-Ling

609 516 Add a factor

680 517 Colbourn-Martirosyan-Trung-Walker

700 520 Colbourn-Martirosyan-Trung-Walker

752 524 Colbourn-Martirosyan-Trung-Walker

760 527 Colbourn-Martirosyan-Trung-Walker

768 528 Cohen-Colbourn-Ling

864 536 Cohen-Colbourn-Ling

960 544 Cohen-Colbourn-Ling

1120 552 Cohen-Colbourn-Ling

1216 560 Cohen-Colbourn-Ling

1330 583 Cohen-Colbourn-Ling

1444 592 Cohen-Colbourn-Ling

1712 616 Power CZ3-17.0-16.5-8.1

1926 635 Power CZ3-17.0-16.5-9.1

2140 640 Power CZ3-17.0-16.5-10.1

2568 649 Power CZ3-17.0-16.5-12.1

3424 652 Power CZ3-17.0-16.6

3632 676 Power CZ3-17.1-16.5

3856 700 Power CZ3-17.2-16.4

4096 724 Power CZ3-17.3-16.3

4864 752 Power CZ3-19.4-16.1-16.1

5776 780 Power CZ3-19.5-16.1

5888 784 Power CZ3-23.4-16.1-16.1

7360 808 Power CZ3-23.4-16.1-20.1

8214 818 Power N-CT37^3T31

9200 832 Power CZ3-23.4-20.1-20.1

10000 842 Power N-CT37^3T29

Graph: