Table for CAN(3,k,8) for k up to 10000

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,8) 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 10 512 orthogonal array 18 960 Chateauneuf-Kreher doubling 40 1016 Sherwood-Martirosyan-Colbourn 72 1408 Colbourn-Martirosyan-Trung-Walker 80 1464 Colbourn-Martirosyan-Trung-Walker 91 1520 Sherwood-Martirosyan-Colbourn 96 2003 Colbourn-Martirosyan-Trung-Walker 200 2024 Sherwood-Martirosyan-Colbourn 320 2304 Colbourn-Martirosyan-Trung-Walker 360 2424 Cohen-Colbourn-Ling 400 2536 Cohen-Colbourn-Ling 576 2696 Colbourn-Martirosyan-Trung-Walker 640 2752 Colbourn-Martirosyan-Trung-Walker 648 2857 Colbourn-Martirosyan-Trung-Walker 720 2906 Colbourn-Martirosyan-Trung-Walker 728 2920 Colbourn-Martirosyan-Trung-Walker 819 3376 Cohen-Colbourn-Ling 856 3459 Colbourn-Martirosyan-Trung-Walker 880 3480 Colbourn-Martirosyan-Trung-Walker 928 3508 Colbourn-Martirosyan-Trung-Walker 968 3522 Colbourn-Martirosyan-Trung-Walker 1000 3557 Colbourn-Martirosyan-Trung-Walker 1056 3571 Colbourn-Martirosyan-Trung-Walker 1144 3606 Colbourn-Martirosyan-Trung-Walker 1208 3641 Colbourn-Martirosyan-Trung-Walker 1240 3655 Colbourn-Martirosyan-Trung-Walker 1280 3669 Colbourn-Martirosyan-Trung-Walker 1360 3683 Colbourn-Martirosyan-Trung-Walker 1600 3704 Colbourn-Martirosyan-Trung-Walker 1800 3880 Cohen-Colbourn-Ling 2560 3984 Colbourn-Martirosyan-Trung-Walker 2880 4104 Colbourn-Martirosyan-Trung-Walker 3200 4160 Cohen-Colbourn-Ling 3240 4280 Cohen-Colbourn-Ling 4608 4376 Colbourn-Martirosyan-Trung-Walker 5120 4432 Colbourn-Martirosyan-Trung-Walker 5184 4537 Colbourn-Martirosyan-Trung-Walker 5696 4586 Colbourn-Martirosyan-Trung-Walker 5760 4635 Colbourn-Martirosyan-Trung-Walker 5824 4656 Colbourn-Martirosyan-Trung-Walker 6562 5111 Power 10^4 6848 5251 Colbourn-Martirosyan-Trung-Walker 7040 5272 Colbourn-Martirosyan-Trung-Walker 7128 5300 Colbourn-Martirosyan-Trung-Walker 7424 5335 Colbourn-Martirosyan-Trung-Walker 7616 5349 Colbourn-Martirosyan-Trung-Walker 7744 5370 Colbourn-Martirosyan-Trung-Walker 7920 5405 Colbourn-Martirosyan-Trung-Walker 8000 5433 Colbourn-Martirosyan-Trung-Walker 8256 5447 Colbourn-Martirosyan-Trung-Walker 8448 5461 Colbourn-Martirosyan-Trung-Walker 8712 5496 Colbourn-Martirosyan-Trung-Walker 8800 5510 Colbourn-Martirosyan-Trung-Walker 8896 5531 Colbourn-Martirosyan-Trung-Walker 9152 5545 Colbourn-Martirosyan-Trung-Walker 9504 5580 Colbourn-Martirosyan-Trung-Walker 9664 5587 Colbourn-Martirosyan-Trung-Walker 9680 5601 Colbourn-Martirosyan-Trung-Walker 9920 5629 Colbourn-Martirosyan-Trung-Walker 10000 5643 Colbourn-Martirosyan-Trung-Walker

Graph: