Table for CAN(3,k,5) 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,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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k N Source 6 125 orthogonal array 7 180 Soriano 10 185 Chateauneuf-Kreher NRB 12 225 Chateauneuf-Kreher doubling 24 245 Sherwood-Martirosyan-Colbourn 30 325 Colbourn-Martirosyan-Trung-Walker 48 365 Sherwood-Martirosyan-Colbourn 50 433 Colbourn-Martirosyan-Trung-Walker 55 477 Colbourn-Martirosyan-Trung-Walker 95 485 Sherwood-Martirosyan-Colbourn 120 525 Colbourn-Martirosyan-Trung-Walker 144 570 Cohen-Colbourn-Ling 160 605 Sherwood-Martirosyan-Colbourn 175 645 Colbourn-Martirosyan-Trung-Walker 205 661 Colbourn-Martirosyan-Trung-Walker 210 673 Colbourn-Martirosyan-Trung-Walker 240 677 Colbourn-Martirosyan-Trung-Walker 250 753 Colbourn-Martirosyan-Trung-Walker 264 774 Cohen-Colbourn-Ling 288 790 Cohen-Colbourn-Ling 295 813 Colbourn-Martirosyan-Trung-Walker 325 817 Colbourn-Martirosyan-Trung-Walker 355 825 Colbourn-Martirosyan-Trung-Walker 385 829 Colbourn-Martirosyan-Trung-Walker 415 833 Colbourn-Martirosyan-Trung-Walker 450 837 Colbourn-Martirosyan-Trung-Walker 475 841 Colbourn-Martirosyan-Trung-Walker 576 850 Cohen-Colbourn-Ling 600 885 Colbourn-Martirosyan-Trung-Walker 720 930 Colbourn-Martirosyan-Trung-Walker 800 965 Colbourn-Martirosyan-Trung-Walker 840 970 Cohen-Colbourn-Ling 984 1002 Cohen-Colbourn-Ling 1025 1021 Colbourn-Martirosyan-Trung-Walker 1152 1034 Cohen-Colbourn-Ling 1200 1053 Colbourn-Martirosyan-Trung-Walker 1225 1141 Colbourn-Martirosyan-Trung-Walker 1250 1145 Colbourn-Martirosyan-Trung-Walker 1320 1166 Colbourn-Martirosyan-Trung-Walker 1405 1182 Colbourn-Martirosyan-Trung-Walker 1416 1186 Cohen-Colbourn-Ling 1440 1190 Colbourn-Martirosyan-Trung-Walker 1560 1194 Cohen-Colbourn-Ling 1704 1210 Cohen-Colbourn-Ling 1848 1218 Cohen-Colbourn-Ling 1992 1226 Cohen-Colbourn-Ling 2160 1234 Cohen-Colbourn-Ling 2280 1242 Cohen-Colbourn-Ling 2375 1269 Colbourn-Martirosyan-Trung-Walker 2425 1278 Colbourn-Martirosyan-Trung-Walker 2625 1282 Colbourn-Martirosyan-Trung-Walker 2775 1286 Colbourn-Martirosyan-Trung-Walker 2880 1290 Colbourn-Martirosyan-Trung-Walker 3000 1325 Colbourn-Martirosyan-Trung-Walker 3456 1335 Cohen-Colbourn-Ling 3840 1370 Cohen-Colbourn-Ling 4000 1405 Colbourn-Martirosyan-Trung-Walker 4200 1410 Colbourn-Martirosyan-Trung-Walker 4920 1426 Cohen-Colbourn-Ling 5125 1461 Colbourn-Martirosyan-Trung-Walker 10000 1465 linear hash family

Graph: