Table for CAN(4,k,20) 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;4,k,20) 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 160000 Derive from strength 5 6 176457 Augment OA 7 184894 Augment OA 8 193330 Augment OA 9 201702 Augment OA 10 210060 Augment OA 11 218257 Augment OA 12 226349 Augment OA 13 234126 Augment OA 14 241705 Augment OA 15 248844 Augment OA 16 255602 Augment OA 17 261875 Augment OA 18 267676 Augment OA 19 272911 Augment OA 20 277535 Augment OA 24 279834 orthogonal array fuse fuse fuse postop NCK 25 390604 orthogonal array fuse fuse fuse fuse fuse postop NCK 26 390610 orthogonal array fuse fuse fuse fuse fuse postop NCK 27 528229 orthogonal array fuse fuse fuse fuse fuse fuse fuse postop NCK 28 528696 orthogonal array fuse fuse fuse fuse fuse fuse fuse postop NCK 30 547509 3-Restricted SCPHF RE (CL) fuse fuse fuse 39 559147 2-Restricted SCPHF RE (CL) fuse fuse fuse 40 629264 Colbourn-Martirosyan-TVT-Walker 42 668043 Colbourn-Martirosyan-TVT-Walker 44 668233 Colbourn-Martirosyan-TVT-Walker 46 668461 Colbourn-Martirosyan-TVT-Walker 48 668727 Colbourn-Martirosyan-TVT-Walker 86 827327 3-Restricted SCPHF RE (CL) fuse fuse fuse 98 838965 2-Restricted SCPHF RE (CL) fuse fuse fuse 100 1005218 Colbourn-Martirosyan-TVT-Walker 102 1035822 Colbourn-Martirosyan-TVT-Walker 108 1042023 Colbourn-Martirosyan-TVT-Walker 110 1044187 Colbourn-Martirosyan-TVT-Walker 115 1044415 Colbourn-Martirosyan-TVT-Walker 120 1044681 Colbourn-Martirosyan-TVT-Walker 170 1095001 3,3-Restricted SCPHF RE (CL) fuse fuse fuse 203 1106639 3,2-Restricted SCPHF RE (CL) fuse fuse fuse 204 1107145 3-Restricted SCPHF RE (CL) fuse fuse fuse 238 1118277 2,2-Restricted SCPHF RE (CL) fuse fuse fuse 242 1118783 2-Restricted SCPHF RE (CL) fuse fuse fuse 247 1119289 SCPHF Random Extension (CLS) fuse fuse fuse 250 1119355 CPHF Random Extension (CLS) fuse fuse fuse 264 1192154 Colbourn-Martirosyan-TVT-Walker 288 1215636 Colbourn-Martirosyan-TVT-Walker 312 1228543 Colbourn-Martirosyan-TVT-Walker 336 1243071 Colbourn-Martirosyan-TVT-Walker 360 1255341 Colbourn-Martirosyan-TVT-Walker 384 1262099 Colbourn-Martirosyan-TVT-Walker 391 1272816 Colbourn-Martirosyan-TVT-Walker 408 1277027 Colbourn-Martirosyan-TVT-Walker 414 1278620 Colbourn-Martirosyan-TVT-Walker 432 1282831 Colbourn-Martirosyan-TVT-Walker 437 1289199 Colbourn-Martirosyan-TVT-Walker 456 1293410 Colbourn-Martirosyan-TVT-Walker 460 1301059 Colbourn-Martirosyan-TVT-Walker 480 1305270 Colbourn-Martirosyan-TVT-Walker 506 1353539 Colbourn-Martirosyan-TVT-Walker 529 1353541 Colbourn-Martirosyan-TVT-Walker 552 1386406 Colbourn-Martirosyan-TVT-Walker fuse fuse 593 1398095 2,2-Restricted SCPHF RE (CL) fuse fuse fuse 610 1398601 2-Restricted SCPHF RE (CL) fuse fuse fuse 619 1399107 SCPHF Random Extension (CLS) fuse fuse fuse 622 1399195 CPHF Random Extension (CLS) fuse fuse fuse 624 1635480 Colbourn-Martirosyan-TVT-Walker fuse fuse 895 1642493 3,3,3-Restricted SCPHF RE (CL) fuse fuse fuse 1039 1654637 3,3-Restricted SCPHF RE (CL) fuse fuse fuse 1231 1666275 3,2-Restricted SCPHF RE (CL) fuse fuse fuse 1247 1666781 3-Restricted SCPHF RE (CL) fuse fuse fuse 1305 1677913 2,2-Restricted SCPHF RE (CL) fuse fuse fuse 1380 1678419 2-Restricted SCPHF RE (CL) fuse fuse fuse 1421 1678925 SCPHF Random Extension (CLS) fuse fuse fuse 1461 1679035 CPHF Random Extension (CLS) fuse fuse fuse 2723 1958743 SCPHF Random Extension (CLS) fuse fuse fuse 2806 1958875 CPHF Random Extension (CLS) fuse fuse fuse 2807 2436915 Add a factor 2808 2568221 Colbourn-Martirosyan-TVT-Walker 2842 2569580 Colbourn-Martirosyan-TVT-Walker 2856 2570086 Colbourn-Martirosyan-TVT-Walker 2904 2578226 Colbourn-Martirosyan-TVT-Walker 2964 2578732 Colbourn-Martirosyan-TVT-Walker 3000 2578798 Colbourn-Martirosyan-TVT-Walker 3042 2586068 Colbourn-Martirosyan-TVT-Walker 3045 2586410 Colbourn-Martirosyan-TVT-Walker 3060 2586916 Colbourn-Martirosyan-TVT-Walker 3248 2593168 Colbourn-Martirosyan-TVT-Walker 3264 2593674 Colbourn-Martirosyan-TVT-Walker 3276 2600596 Colbourn-Martirosyan-TVT-Walker 3328 2604806 Colbourn-Martirosyan-TVT-Walker 3332 2610285 Colbourn-Martirosyan-TVT-Walker 3388 2610791 Colbourn-Martirosyan-TVT-Walker 3458 2611297 Colbourn-Martirosyan-TVT-Walker 3500 2611363 Colbourn-Martirosyan-TVT-Walker 3510 2617806 Colbourn-Martirosyan-TVT-Walker 3654 2618460 Colbourn-Martirosyan-TVT-Walker 3672 2618966 Colbourn-Martirosyan-TVT-Walker 3744 2624564 Colbourn-Martirosyan-TVT-Walker 3750 2628763 Colbourn-Martirosyan-TVT-Walker 3857 2629039 Colbourn-Martirosyan-TVT-Walker 3876 2629545 Colbourn-Martirosyan-TVT-Walker 3952 2635455 Colbourn-Martirosyan-TVT-Walker 4000 2635521 Colbourn-Martirosyan-TVT-Walker 4060 2640899 Colbourn-Martirosyan-TVT-Walker 4080 2641405 Colbourn-Martirosyan-TVT-Walker 4114 2646585 Colbourn-Martirosyan-TVT-Walker 4199 2647091 Colbourn-Martirosyan-TVT-Walker 4250 2647157 Colbourn-Martirosyan-TVT-Walker 4284 2651883 Colbourn-Martirosyan-TVT-Walker 4356 2652389 Colbourn-Martirosyan-TVT-Walker 4446 2652895 Colbourn-Martirosyan-TVT-Walker 4500 2652961 Colbourn-Martirosyan-TVT-Walker 4522 2662462 Colbourn-Martirosyan-TVT-Walker 4598 2662968 Colbourn-Martirosyan-TVT-Walker 4693 2663474 Colbourn-Martirosyan-TVT-Walker 4750 2663540 Colbourn-Martirosyan-TVT-Walker 4760 2674322 Colbourn-Martirosyan-TVT-Walker 4840 2674828 Colbourn-Martirosyan-TVT-Walker 4940 2675334 Colbourn-Martirosyan-TVT-Walker 5000 2675400 Colbourn-Martirosyan-TVT-Walker 5474 2723815 Colbourn-Martirosyan-TVT-Walker fuse fuse fuse 5566 2724321 Colbourn-Martirosyan-TVT-Walker fuse fuse fuse 5681 2724827 Colbourn-Martirosyan-TVT-Walker fuse fuse fuse 5750 2724893 Colbourn-Martirosyan-TVT-Walker fuse fuse fuse 5796 2770628 Colbourn-Martirosyan-TVT-Walker 5808 2772318 Colbourn-Martirosyan-TVT-Walker fuse fuse 5928 2772728 Colbourn-Martirosyan-TVT-Walker 6000 2772890 Colbourn-Martirosyan-TVT-Walker fuse fuse 6048 2774839 Colbourn-Martirosyan-TVT-Walker 6144 2778265 Colbourn-Martirosyan-TVT-Walker 6240 2784588 Colbourn-Martirosyan-TVT-Walker 6384 2787256 Colbourn-Martirosyan-TVT-Walker 6480 2788947 Colbourn-Martirosyan-TVT-Walker 6528 2789901 Colbourn-Martirosyan-TVT-Walker 6624 2794786 Colbourn-Martirosyan-TVT-Walker 6912 2795705 Colbourn-Martirosyan-TVT-Walker 6936 2804829 Colbourn-Martirosyan-TVT-Walker 6992 2805365 Colbourn-Martirosyan-TVT-Walker 7296 2806284 Colbourn-Martirosyan-TVT-Walker 7344 2810633 Colbourn-Martirosyan-TVT-Walker 7452 2812226 Colbourn-Martirosyan-TVT-Walker 7776 2816437 Colbourn-Martirosyan-TVT-Walker 7866 2822805 Colbourn-Martirosyan-TVT-Walker 8208 2827016 Colbourn-Martirosyan-TVT-Walker 8303 2833384 Colbourn-Martirosyan-TVT-Walker 8531 2837595 Colbourn-Martirosyan-TVT-Walker 8550 2838040 Colbourn-Martirosyan-TVT-Walker 8588 2838043 Colbourn-Martirosyan-TVT-Walker 8640 2838876 Colbourn-Martirosyan-TVT-Walker 8664 2844827 Colbourn-Martirosyan-TVT-Walker 8740 2845244 Colbourn-Martirosyan-TVT-Walker 9120 2849455 Colbourn-Martirosyan-TVT-Walker 9140 2857104 Colbourn-Martirosyan-TVT-Walker 9160 2857553 Colbourn-Martirosyan-TVT-Walker 9200 2857560 Colbourn-Martirosyan-TVT-Walker 9280 2861771 Colbourn-Martirosyan-TVT-Walker 9440 2865439 Colbourn-Martirosyan-TVT-Walker 9520 2867285 Colbourn-Martirosyan-TVT-Walker 9600 2871001 Colbourn-Martirosyan-TVT-Walker 9936 2891358 Colbourn-Martirosyan-TVT-Walker 10000 2897726 Colbourn-Martirosyan-TVT-Walker
Graph: