Table for CAN(4,k,15) 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,15) 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 50625 composition 17 65535 fuse symbols 18 83519 fuse symbols 20 130317 fuse symbols 34 174378 Colbourn-Martirosyan-Trung-Walker 36 192362 Colbourn-Martirosyan-Trung-Walker 48 276530 Colbourn-Martirosyan-Trung-Walker 51 279905 Colbourn-Martirosyan-Trung-Walker 54 304639 Colbourn-Martirosyan-Trung-Walker 256 315390 fuse symbols 272 319230 fuse symbols 288 344894 fuse symbols 289 402863 fuse symbols 306 412111 fuse symbols 320 448407 fuse symbols 323 489981 fuse symbols 340 508477 fuse symbols 368 522735 fuse symbols 460 531753 Colbourn-Martirosyan-Trung-Walker 468 532663 Colbourn-Martirosyan-Trung-Walker 484 534507 Colbourn-Martirosyan-Trung-Walker 508 537333 Colbourn-Martirosyan-Trung-Walker 512 538291 Colbourn-Martirosyan-Trung-Walker 516 542131 Colbourn-Martirosyan-Trung-Walker 524 543097 Colbourn-Martirosyan-Trung-Walker 544 547041 Colbourn-Martirosyan-Trung-Walker 556 579005 Colbourn-Martirosyan-Trung-Walker 576 581535 Colbourn-Martirosyan-Trung-Walker 578 655668 Colbourn-Martirosyan-Trung-Walker 580 664916 Colbourn-Martirosyan-Trung-Walker 604 668030 Colbourn-Martirosyan-Trung-Walker 612 671216 Colbourn-Martirosyan-Trung-Walker 690 684530 Colbourn-Martirosyan-Trung-Walker 702 686350 Colbourn-Martirosyan-Trung-Walker 726 690038 Colbourn-Martirosyan-Trung-Walker 762 695690 Colbourn-Martirosyan-Trung-Walker 768 697606 Colbourn-Martirosyan-Trung-Walker 774 708196 Colbourn-Martirosyan-Trung-Walker 786 710128 Colbourn-Martirosyan-Trung-Walker 816 718016 Colbourn-Martirosyan-Trung-Walker 4096 738045 fuse symbols 4112 749565 fuse symbols 4144 750077 fuse symbols 4336 753191 fuse symbols 4352 756377 fuse symbols 4913 786409 linear hash family 4914 939919 extend by one factor 4976 971808 fuse symbols 5066 974227 fuse symbols 5120 975234 fuse symbols 5202 982613 fuse symbols 5296 1053873 fuse symbols 5440 1062259 fuse symbols 5744 1076517 fuse symbols 5776 1078985 fuse symbols 5872 1109705 fuse symbols 5888 1110951 fuse symbols 5936 1156971 fuse symbols 6064 1159487 fuse symbols 8192 1163630 Colbourn-Martirosyan-Trung-Walker 8224 1175150 Colbourn-Martirosyan-Trung-Walker 8288 1175662 Colbourn-Martirosyan-Trung-Walker 8672 1178776 Colbourn-Martirosyan-Trung-Walker 8704 1181962 Colbourn-Martirosyan-Trung-Walker 9216 1218294 Colbourn-Martirosyan-Trung-Walker 9826 1233064 Colbourn-Martirosyan-Trung-Walker 9828 1386574 Colbourn-Martirosyan-Trung-Walker 10000 1406128 fuse symbols

Graph: