Table for CAN(4,k,16) 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,16) 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 17 65536 orthogonal array 18 83520 fuse symbols 20 130318 fuse symbols 32 188401 Colbourn-Martirosyan-Trung-Walker 34 192241 Colbourn-Martirosyan-Trung-Walker 36 210496 Colbourn-Martirosyan-Trung-Walker 40 298649 Colbourn-Martirosyan-Trung-Walker 256 315391 Colbourn-Martirosyan-Trung-Walker 272 319231 Colbourn-Martirosyan-Trung-Walker 288 344895 Colbourn-Martirosyan-Trung-Walker 289 402864 fuse symbols 306 412112 fuse symbols 320 448408 Colbourn-Martirosyan-Trung-Walker 323 489982 fuse symbols 340 508478 fuse symbols 368 522736 Colbourn-Martirosyan-Trung-Walker 512 553456 Colbourn-Martirosyan-Trung-Walker 544 557296 Colbourn-Martirosyan-Trung-Walker 576 582301 Colbourn-Martirosyan-Trung-Walker 578 679732 Colbourn-Martirosyan-Trung-Walker 598 688980 Colbourn-Martirosyan-Trung-Walker 612 691208 Colbourn-Martirosyan-Trung-Walker 640 721304 Colbourn-Martirosyan-Trung-Walker 4096 738046 Colbourn-Martirosyan-Trung-Walker 4112 749566 Colbourn-Martirosyan-Trung-Walker 4144 750078 Colbourn-Martirosyan-Trung-Walker 4336 753192 Colbourn-Martirosyan-Trung-Walker 4352 756378 Colbourn-Martirosyan-Trung-Walker 4913 786421 perfect hash family 4914 970261 extend by one factor 4976 971809 Colbourn-Martirosyan-Trung-Walker 5066 974228 fuse symbols 5120 975235 Colbourn-Martirosyan-Trung-Walker 5202 982614 fuse symbols 5296 1053874 Colbourn-Martirosyan-Trung-Walker 5440 1062260 Colbourn-Martirosyan-Trung-Walker 5744 1076518 Colbourn-Martirosyan-Trung-Walker 5776 1078986 Colbourn-Martirosyan-Trung-Walker 5872 1109706 Colbourn-Martirosyan-Trung-Walker 5888 1110952 Colbourn-Martirosyan-Trung-Walker 5936 1156972 Colbourn-Martirosyan-Trung-Walker 6064 1159488 Colbourn-Martirosyan-Trung-Walker 6512 1168546 Colbourn-Martirosyan-Trung-Walker 6704 1172548 Colbourn-Martirosyan-Trung-Walker 6896 1176622 Colbourn-Martirosyan-Trung-Walker 7024 1179378 Colbourn-Martirosyan-Trung-Walker 7088 1180768 Colbourn-Martirosyan-Trung-Walker 7168 1183572 Colbourn-Martirosyan-Trung-Walker 7216 1186947 Colbourn-Martirosyan-Trung-Walker 7408 1191213 Colbourn-Martirosyan-Trung-Walker 7424 1192651 Colbourn-Martirosyan-Trung-Walker 7472 1196026 Colbourn-Martirosyan-Trung-Walker 7680 1196626 Colbourn-Martirosyan-Trung-Walker 7936 1200001 Colbourn-Martirosyan-Trung-Walker 8192 1203376 Colbourn-Martirosyan-Trung-Walker 8464 1210591 Colbourn-Martirosyan-Trung-Walker 8704 1214431 Colbourn-Martirosyan-Trung-Walker 9216 1246186 Colbourn-Martirosyan-Trung-Walker 9248 1289972 Colbourn-Martirosyan-Trung-Walker 9760 1293347 Colbourn-Martirosyan-Trung-Walker 9792 1293797 Colbourn-Martirosyan-Trung-Walker 9826 1321397 Colbourn-Martirosyan-Trung-Walker 10000 1406129 Colbourn-Martirosyan-Trung-Walker

Graph: