Table for CAN(5,k,8) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

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;5,k,8) 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 9 32768 orthogonal array 10 54249 orthogonal array fuse postop NCK 11 82921 AZ1 12 98301 perfect hash family3,12,9 18 126976 Martirosyan-Tran van Trung 20 174969 Martirosyan-Tran van Trung 21 231865 AZ1 22 275712 Add 8 factors 24 281088 Add 8 factors 25 283776 Add 8 factors 26 284672 Add 8 factors 27 332665 Add 8 factors 28 337145 Add 8 factors 30 368584 Martirosyan-Tran van Trung 32 380104 Martirosyan-Tran van Trung 36 383944 Martirosyan-Tran van Trung 37 440840 AZ1 38 449681 Martirosyan-Tran van Trung 40 451713 Martirosyan-Tran van Trung 41 508609 AZ1 42 545353 Martirosyan-Tran van Trung 44 551944 Add 8 factors 45 557039 perfect hash family17,45,9 46 575247 Power CT11^2T2S10 48 589806 perfect hash family18,48,9 55 596728 Power CT11^2Arc(11) 56 625400 Power CT11^2Arc(10) 58 654072 Power CT11^2Arc(9) 61 682744 Power CT11^2Arc(8) 64 709848 Martirosyan-Tran van Trung 65 711416 Power CT11^2Arc(7) 72 713688 Martirosyan-Tran van Trung 76 768760 Power CT11^2Arc(5) 83 797432 Power CT11^2Arc(4) 91 826104 Power CT11^2Arc(3) 100 854776 Power CT11^2T1T1 110 883448 Power CT11^2T1 121 912120 Power CT11^2 122 999032 AZ1 123 1065336 Add 2 factors 128 1087528 Martirosyan-Tran van Trung 144 1097640 Martirosyan-Tran van Trung 146 1166450 Martirosyan-Tran van Trung 147 1253362 AZ1 216 1269750 Power N-CT19^2Arc(10) 226 1317743 Power N-CT19^2Arc(9) 237 1365736 Power N-CT19^2Arc(8) 290 1396725 Power CT17^2+1 291 1525749 AZ1 292 1604597 Add 2 factors 307 1605701 Power N-CT19^2Arc(3) 324 1653694 Power N-CT19^2T1T1 342 1701687 Power N-CT19^2T1 362 1749680 Power N-CT19^2+1 363 1879096 AZ1 364 1957944 Add 2 factors 365 1986616 Add 3 factors 370 2015288 Add 8 factors 388 2027262 Martirosyan-Tran van Trung 432 2030077 Martirosyan-Colbourn 452 2078070 Martirosyan-Colbourn 474 2126063 Martirosyan-Colbourn 576 2157052 Martirosyan-Colbourn 580 2177835 Martirosyan-Colbourn 582 2306859 Martirosyan-Colbourn 584 2385707 Martirosyan-Colbourn 614 2386811 Martirosyan-Colbourn 648 2434804 Martirosyan-Colbourn 684 2508613 Martirosyan-Colbourn 724 2556606 Martirosyan-Colbourn 726 2686022 Martirosyan-Colbourn 728 2764870 Martirosyan-Colbourn 730 2793542 Martirosyan-Colbourn 740 2822214 Martirosyan-Colbourn 776 2834188 Martirosyan-Colbourn 864 2837003 Martirosyan-Colbourn 904 2884996 Martirosyan-Colbourn 948 2932989 Martirosyan-Colbourn 1024 2963978 Martirosyan-Colbourn 1040 2976956 Martirosyan-Colbourn 1072 2979231 Martirosyan-Colbourn 1088 2979665 Martirosyan-Colbourn 1136 2979693 Martirosyan-Colbourn 1152 2983473 Martirosyan-Colbourn 1160 3015834 Martirosyan-Colbourn 1164 3144858 Martirosyan-Colbourn 1168 3223706 Martirosyan-Colbourn 1170 3228478 Martirosyan-Colbourn 1206 3230753 Martirosyan-Colbourn 1224 3231187 Martirosyan-Colbourn 1228 3231215 Martirosyan-Colbourn 1278 3279208 Martirosyan-Colbourn 1296 3282988 Martirosyan-Colbourn 1314 3368375 Martirosyan-Colbourn 1368 3378959 Martirosyan-Colbourn 1440 3426952 Martirosyan-Colbourn 1448 3438474 Martirosyan-Colbourn 1452 3567890 Martirosyan-Colbourn 1456 3646738 Martirosyan-Colbourn 1460 3675410 Martirosyan-Colbourn 1480 3728995 Martirosyan-Colbourn 1494 3740969 Martirosyan-Colbourn 1552 3743272 Martirosyan-Colbourn 1580 3746087 Martirosyan-Colbourn 1600 3746605 Martirosyan-Colbourn 1620 3750210 Martirosyan-Colbourn 1660 3764434 Martirosyan-Colbourn 1728 3766660 Martirosyan-Colbourn 1740 3814653 Martirosyan-Colbourn 1760 3816935 Martirosyan-Colbourn 1800 3820512 Martirosyan-Colbourn 1808 3833084 Martirosyan-Colbourn 1840 3881077 Martirosyan-Colbourn 1896 3882260 Martirosyan-Colbourn 2048 3913249 Martirosyan-Colbourn 2080 3932499 Martirosyan-Colbourn 2144 3934774 Martirosyan-Colbourn 2176 3935208 Martirosyan-Colbourn 2272 3935236 Martirosyan-Colbourn 2304 3939016 Martirosyan-Colbourn 2320 3974121 Martirosyan-Colbourn 2328 4103145 Martirosyan-Colbourn 2336 4181993 Martirosyan-Colbourn 2340 4186765 Martirosyan-Colbourn 2412 4189040 Martirosyan-Colbourn 2448 4189474 Martirosyan-Colbourn 2456 4189502 Martirosyan-Colbourn 2556 4237495 Martirosyan-Colbourn 2560 4241275 Martirosyan-Colbourn 2592 4258530 Martirosyan-Colbourn 2628 4347445 Martirosyan-Colbourn 2736 4358029 Martirosyan-Colbourn 2880 4406022 Martirosyan-Colbourn 2896 4425377 Martirosyan-Colbourn 2904 4554793 Martirosyan-Colbourn 2912 4633641 Martirosyan-Colbourn 2920 4662313 Martirosyan-Colbourn 2960 4715898 Martirosyan-Colbourn 2988 4727872 Martirosyan-Colbourn 3104 4730175 Martirosyan-Colbourn 3160 4751806 Martirosyan-Colbourn 3200 4752324 Martirosyan-Colbourn 3240 4755929 Martirosyan-Colbourn 3320 4770153 Martirosyan-Colbourn 3456 4772379 Martirosyan-Colbourn 3480 4820372 Martirosyan-Colbourn 3520 4822654 Martirosyan-Colbourn 3600 4826231 Martirosyan-Colbourn 3616 4838803 Martirosyan-Colbourn 3680 4886796 Martirosyan-Colbourn 3792 4887979 Martirosyan-Colbourn 3872 4918968 Martirosyan-Colbourn 4096 4928152 Martirosyan-Colbourn 4160 4947402 Martirosyan-Colbourn 4288 4949677 Martirosyan-Colbourn 4352 4950111 Martirosyan-Colbourn 4544 4950139 Martirosyan-Colbourn 4608 4953919 Martirosyan-Colbourn 4640 4989024 Martirosyan-Colbourn 4656 5118048 Martirosyan-Colbourn 4672 5196896 Martirosyan-Colbourn 4680 5201668 Martirosyan-Colbourn 4824 5203943 Martirosyan-Colbourn 4896 5204377 Martirosyan-Colbourn 4912 5204405 Martirosyan-Colbourn 5112 5252398 Martirosyan-Colbourn 5120 5256178 Martirosyan-Colbourn 5184 5273433 Martirosyan-Colbourn 5256 5362348 Martirosyan-Colbourn 5472 5372932 Martirosyan-Colbourn 5500 5415240 Power CT25^3TD(5,5) trunc 5 5760 5420925 Martirosyan-Colbourn 5792 5440280 Martirosyan-Colbourn 5832 5440491 Power CT23^3T5T5T5 6480 5488484 Power CT23^3T5T5T3 6500 5524047 Power CT25^3TD(4,5) trunc 5 7200 5536477 Power CT23^3T5T3T3 8000 5584470 Power CT23^3T3T3T3 8400 5641366 Power CT23^3T3T3T2 8800 5685213 Power CT23^3T3T3T1 9200 5690589 Power CT23^3T3T3 9600 5738973 Power CT25^3T5T5T1 10000 5741661 Power CT25^3T5T5

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