Table for CAN(6,k,10) 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;6,k,10) 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 7 1000000 composition 12 1771560 fuse symbols 13 3089160 extend by one factor 14 4406760 extend by one factor 15 6680160 extend by one factor 20 8162011 Martirosyan-Tran van Trung 24 8442291 Martirosyan-Tran van Trung 25 11076591 extend by one factor 26 14388681 extend by one factor 27 19247871 extend by one factor 28 19745467 Martirosyan-Tran van Trung 30 23303963 Martirosyan-Tran van Trung 32 25312674 Martirosyan-Tran van Trung 34 25722454 Martirosyan-Tran van Trung 36 25898074 Martirosyan-Tran van Trung 38 26132234 Martirosyan-Tran van Trung 40 26307854 Martirosyan-Tran van Trung 42 27628914 Martirosyan-Tran van Trung 44 28389934 Martirosyan-Tran van Trung 46 28799714 Martirosyan-Tran van Trung 48 31676556 Martirosyan-Tran van Trung 49 37843356 extend by one factor 50 44010156 extend by one factor 52 48004698 Martirosyan-Tran van Trung 65 49426545 perfect hash family 66 55655445 extend by one factor 67 61884345 extend by one factor 68 62671111 Martirosyan-Tran van Trung 70 62867683 Martirosyan-Tran van Trung 72 63947665 Martirosyan-Tran van Trung 76 65049747 Martirosyan-Tran van Trung 80 65246319 Martirosyan-Tran van Trung 84 67042075 Martirosyan-Tran van Trung 88 67893887 Martirosyan-Tran van Trung 92 68352555 Martirosyan-Tran van Trung 93 74581455 extend by one factor 96 74972304 Martirosyan-Tran van Trung 97 81201204 extend by one factor 98 83710254 Martirosyan-Tran van Trung 99 89939154 extend by one factor 100 91067448 Martirosyan-Tran van Trung 101 97296348 extend by one factor 104 100195885 Martirosyan-Tran van Trung 110 102908575 Martirosyan-Tran van Trung 112 103258075 Martirosyan-Tran van Trung 120 103503379 Martirosyan-Tran van Trung 128 103655335 Martirosyan-Tran van Trung 130 103704223 Martirosyan-Tran van Trung 131 110150923 extend by one factor 132 116307893 Martirosyan-Tran van Trung 136 117935899 Martirosyan-Tran van Trung 140 118153423 Martirosyan-Tran van Trung 142 119296261 Martirosyan-Tran van Trung 144 119573101 Martirosyan-Tran van Trung 152 120752007 Martirosyan-Tran van Trung 156 120969531 Martirosyan-Tran van Trung 160 123045831 Martirosyan-Tran van Trung 168 124984633 Martirosyan-Tran van Trung 176 125927237 Martirosyan-Tran van Trung 184 126434793 Martirosyan-Tran van Trung 362 130592161 Power 20^2 530 135076641 Power 24^2 531 148493841 extend by one factor 532 161911041 extend by one factor 533 175328241 extend by one factor 625 177225441 Power 25^2 626 191632641 extend by one factor 627 206039841 extend by one factor 628 220447041 extend by one factor 629 234854241 extend by one factor 630 249261441 extend by one factor 631 263668641 extend by one factor 632 278075841 extend by one factor 640 287062097 Martirosyan-Tran van Trung 642 287205143 Martirosyan-Tran van Trung 660 288208343 Martirosyan-Tran van Trung 672 288565943 Martirosyan-Tran van Trung 676 288656735 Martirosyan-Tran van Trung 704 288698639 Martirosyan-Tran van Trung 724 289237577 Martirosyan-Tran van Trung 728 293722057 Martirosyan-Tran van Trung 736 293791897 Martirosyan-Tran van Trung 768 295011919 Martirosyan-Tran van Trung 780 296178760 Martirosyan-Tran van Trung 784 296213680 Martirosyan-Tran van Trung 788 296220664 Martirosyan-Tran van Trung 830 296241616 Martirosyan-Tran van Trung 832 296837936 Martirosyan-Tran van Trung 844 296879840 Martirosyan-Tran van Trung 896 296886824 Martirosyan-Tran van Trung 936 296907776 Martirosyan-Tran van Trung 968 301109952 Martirosyan-Tran van Trung 976 301305972 Martirosyan-Tran van Trung 1060 301945701 Martirosyan-Tran van Trung 1061 316352901 extend by one factor 1062 320359791 Martirosyan-Tran van Trung 1063 334766991 extend by one factor 1064 336670923 Martirosyan-Tran van Trung 1066 350216913 Martirosyan-Tran van Trung 1088 352114113 Martirosyan-Tran van Trung 1092 352135065 Martirosyan-Tran van Trung 1100 352176969 Martirosyan-Tran van Trung 1104 362006812 Martirosyan-Tran van Trung 1120 362326843 Martirosyan-Tran van Trung 1124 362396683 Martirosyan-Tran van Trung 1136 362438587 Martirosyan-Tran van Trung 1144 362452555 Martirosyan-Tran van Trung 1152 363232867 Martirosyan-Tran van Trung 1176 363309691 Martirosyan-Tran van Trung 1200 363316675 Martirosyan-Tran van Trung 1204 371242371 Martirosyan-Tran van Trung 1210 371263323 Martirosyan-Tran van Trung 1216 371964823 Martirosyan-Tran van Trung 1232 371985775 Martirosyan-Tran van Trung 1236 372406408 Martirosyan-Tran van Trung 1248 372472180 Martirosyan-Tran van Trung 1250 372590908 Martirosyan-Tran van Trung 1682 386804783 linear hash family 1850 397459063 linear hash family 1852 403195983 linear hash family 1853 423115863 extend by one factor 1854 443035743 extend by one factor 2210 443471771 linear hash family 2211 465251411 extend by one factor 2212 487031051 extend by one factor 2213 508810691 extend by one factor 2214 530590331 extend by one factor 2215 552369971 extend by one factor 2216 574149611 extend by one factor 2240 578681426 Martirosyan-Tran van Trung 2248 578821106 Martirosyan-Tran van Trung 2272 578904914 Martirosyan-Tran van Trung 2288 578932850 Martirosyan-Tran van Trung 2304 580180298 Martirosyan-Tran van Trung 2352 580333946 Martirosyan-Tran van Trung 2400 580347914 Martirosyan-Tran van Trung 2408 588273610 Martirosyan-Tran van Trung 2420 588315514 Martirosyan-Tran van Trung 2432 590604094 Martirosyan-Tran van Trung 2464 590645998 Martirosyan-Tran van Trung 2472 591487264 Martirosyan-Tran van Trung 2496 591618808 Martirosyan-Tran van Trung 2500 591856264 Martirosyan-Tran van Trung 2560 606070139 Martirosyan-Tran van Trung 2568 606213185 Martirosyan-Tran van Trung 2640 606348617 Martirosyan-Tran van Trung 2662 606396893 Martirosyan-Tran van Trung 2684 611246573 Martirosyan-Tran van Trung 2688 611901213 Martirosyan-Tran van Trung 2704 611992005 Martirosyan-Tran van Trung 2816 612033909 Martirosyan-Tran van Trung 2860 612572847 Martirosyan-Tran van Trung 2904 612908183 Martirosyan-Tran van Trung 2912 632273783 Martirosyan-Tran van Trung 2944 632343623 Martirosyan-Tran van Trung 2948 633563645 Martirosyan-Tran van Trung 2992 633733317 Martirosyan-Tran van Trung 3072 634250349 Martirosyan-Tran van Trung 3120 635417190 Martirosyan-Tran van Trung 3124 635452110 Martirosyan-Tran van Trung 3136 636522246 Martirosyan-Tran van Trung 3146 636529230 Martirosyan-Tran van Trung 3152 640868014 Martirosyan-Tran van Trung 3168 640888966 Martirosyan-Tran van Trung 3212 645532366 Martirosyan-Tran van Trung 3320 669965789 Martirosyan-Tran van Trung 3328 669979757 Martirosyan-Tran van Trung 3364 670021661 Martirosyan-Tran van Trung 3376 680689909 Martirosyan-Tran van Trung 3388 680696893 Martirosyan-Tran van Trung 3476 687063037 Martirosyan-Tran van Trung 3504 688991677 Martirosyan-Tran van Trung 3584 690660934 Martirosyan-Tran van Trung 3700 690681886 Martirosyan-Tran van Trung 3725 691971617 linear hash family 3726 718140917 extend by one factor 3744 741573314 Martirosyan-Tran van Trung 3872 742627362 Martirosyan-Tran van Trung 3904 749403382 Martirosyan-Tran van Trung 3916 750043111 Martirosyan-Tran van Trung 4004 750447359 Martirosyan-Tran van Trung 4056 751692551 Martirosyan-Tran van Trung 4114 752686783 Martirosyan-Tran van Trung 4202 754948663 Martirosyan-Tran van Trung 4224 756057583 Martirosyan-Tran van Trung 4240 756800863 Martirosyan-Tran van Trung 4248 761797753 Martirosyan-Tran van Trung 4268 762642223 Martirosyan-Tran van Trung 4356 763943743 Martirosyan-Tran van Trung 4394 766752263 Martirosyan-Tran van Trung 4420 769656215 Martirosyan-Tran van Trung 10000 784692864 Power 31^3

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