Table for CAN(3,k,4) 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,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 20 160 Colbourn-Martirosyan-Trung-Walker 24 169 Colbourn-Martirosyan-Trung-Walker 34 184 Sherwood-Martirosyan-Colbourn 40 232 Colbourn-Martirosyan-Trung-Walker 64 244 Sherwood-Martirosyan-Colbourn 68 283 Chateauneuf-Kreher doubling 80 284 Cohen-Colbourn-Ling 96 301 Colbourn-Martirosyan-Trung-Walker 120 304 Sherwood-Martirosyan-Colbourn 136 331 Colbourn-Martirosyan-Trung-Walker 222 364 Sherwood-Martirosyan-Colbourn 236 406 Colbourn-Martirosyan-Trung-Walker 256 409 Colbourn-Martirosyan-Trung-Walker 272 448 Colbourn-Martirosyan-Trung-Walker 276 449 Colbourn-Martirosyan-Trung-Walker 320 452 Cohen-Colbourn-Ling 384 461 Cohen-Colbourn-Ling 464 472 Colbourn-Martirosyan-Trung-Walker 480 481 Colbourn-Martirosyan-Trung-Walker 544 506 Cohen-Colbourn-Ling 560 541 Colbourn-Martirosyan-Trung-Walker 576 544 Colbourn-Martirosyan-Trung-Walker 656 547 Colbourn-Martirosyan-Trung-Walker 736 550 Colbourn-Martirosyan-Trung-Walker 768 553 Colbourn-Martirosyan-Trung-Walker 888 556 Colbourn-Martirosyan-Trung-Walker 944 596 Cohen-Colbourn-Ling 1024 602 Cohen-Colbourn-Ling 1110 620 Cohen-Colbourn-Ling 1280 648 Cohen-Colbourn-Ling 1332 656 Cohen-Colbourn-Ling 1536 665 Cohen-Colbourn-Ling 1856 668 Cohen-Colbourn-Ling 1920 685 Colbourn-Martirosyan-Trung-Walker 2176 710 Colbourn-Martirosyan-Trung-Walker 2240 745 Colbourn-Martirosyan-Trung-Walker 2304 752 Cohen-Colbourn-Ling 2624 758 Cohen-Colbourn-Ling 2704 763 Colbourn-Martirosyan-Trung-Walker 2944 764 Cohen-Colbourn-Ling 3072 770 Cohen-Colbourn-Ling 3168 775 Colbourn-Martirosyan-Trung-Walker 3552 776 Cohen-Colbourn-Ling 3776 818 Cohen-Colbourn-Ling 4096 827 Cohen-Colbourn-Ling 4440 848 Colbourn-Martirosyan-Trung-Walker 5328 869 Cohen-Colbourn-Ling 6144 897 Cohen-Colbourn-Ling 6416 905 Colbourn-Martirosyan-Trung-Walker 7424 908 Cohen-Colbourn-Ling 7680 917 Cohen-Colbourn-Ling 8704 942 Cohen-Colbourn-Ling 8960 977 Cohen-Colbourn-Ling 9216 992 Colbourn-Martirosyan-Trung-Walker 10000 998 Colbourn-Martirosyan-Trung-Walker

Graph: