Table for CAN(5,k,9) 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,9) 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 10 59049 orthogonal array 11 110808 extended OA (Colbourn) 12 138549 orthogonal array fuse fuse postop NCK 13 177144 perfect hash family3,13,10 20 229635 Martirosyan-Tran van Trung 21 328779 AZ1 22 412371 Add 2 factors 23 464859 Add 3 factors 24 472384 perfect hash family8,24,10 26 510219 Add 9 factors 27 514755 Add 9 factors 29 517347 Add 9 factors 31 590480 perfect hash family10,31,10 55 649528 Power CT11^2Arc(11) 56 701287 Power CT11^2Arc(10) 58 753046 Power CT11^2Arc(9) 61 804805 Power CT11^2Arc(8) 65 856564 Power CT11^2Arc(7) 70 908323 Power CT11^2Arc(6) 76 960082 Power CT11^2Arc(5) 83 1011841 Power CT11^2Arc(4) 91 1063600 Power CT11^2Arc(3) 100 1115359 Power CT11^2T1T1 110 1167118 Power CT11^2T1 121 1218877 Power CT11^2 122 1409749 AZ1 123 1524445 Add 2 factors 130 1546702 Martirosyan-Tran van Trung 140 1598461 Martirosyan-Tran van Trung 152 1650220 Martirosyan-Tran van Trung 162 1701979 Martirosyan-Tran van Trung 166 1722715 Martirosyan-Tran van Trung 180 1774474 Martirosyan-Tran van Trung 182 1806034 Martirosyan-Tran van Trung 183 1999066 AZ1 184 2056081 Martirosyan-Tran van Trung 198 2075665 Martirosyan-Tran van Trung 200 2106031 Martirosyan-Tran van Trung 209 2177513 Power N-CT19^2T8 228 2205254 Power N-CT19^2T7 247 2243849 Power N-CT19^2T6 362 2296340 Power N-CT19^2+1 363 2535452 AZ1 364 2681252 Add 2 factors 365 2733740 Add 3 factors 371 2786228 Add 9 factors 372 3025340 Add 9 factors 373 3171140 Add 9 factors 374 3223628 Add 9 factors 379 3276116 Add 9 factors 380 3276692 Add 9 factors 381 3515804 Add 9 factors 396 3573058 Martirosyan-Colbourn 400 3603424 Martirosyan-Colbourn 418 3677074 Martirosyan-Colbourn 456 3704815 Martirosyan-Colbourn 702 3795901 Martirosyan-Colbourn 724 3853061 Martirosyan-Colbourn 726 4092173 Martirosyan-Colbourn 728 4237973 Martirosyan-Colbourn 730 4290461 Martirosyan-Colbourn 742 4342949 Martirosyan-Colbourn 744 4582061 Martirosyan-Colbourn 746 4727861 Martirosyan-Colbourn 748 4780349 Martirosyan-Colbourn 758 4832837 Martirosyan-Colbourn 760 4833413 Martirosyan-Colbourn 762 5072525 Martirosyan-Colbourn 780 5129779 Martirosyan-Colbourn 792 5160107 Martirosyan-Colbourn 841 5173460 Power N-CT29^2 912 5291864 Martirosyan-Colbourn 1404 5382950 Martirosyan-Colbourn 1448 5440110 Martirosyan-Colbourn 1452 5679222 Martirosyan-Colbourn 1537 5713562 Power N-CT53^2T24 1643 5786695 Power N-CT53^2T22 2811 5845743 Power N-CT53^2+2 2812 6220863 AZ1 2813 6409431 Add 2 factors 2814 6461919 Add 3 factors 2820 6514407 Add 9 factors 2836 6673887 Power N-CT59^2Arc(9)T3 2886 6725646 Power N-CT59^2Arc(9)T2 2986 6777405 Power N-CT59^2Arc(9) 3037 6829164 Power N-CT59^2Arc(8) 3089 6880923 Power N-CT59^2Arc(7) 3142 6932682 Power N-CT59^2Arc(6) 3196 6984441 Power N-CT59^2Arc(5) 3251 7036200 Power N-CT59^2Arc(4) 3355 7087959 Power N-CT61^2T6 3416 7139718 Power N-CT61^2T5 3538 7191477 Power N-CT61^2T3 3721 7243236 Power N-CT61^2 3722 7618356 AZ1 3724 7709067 Power N-CT61^2+3 4050 7810136 Martirosyan-Colbourn 4212 7833688 Martirosyan-Colbourn 4536 7834200 Martirosyan-Colbourn 4698 7834712 Martirosyan-Colbourn 4860 7835224 Martirosyan-Colbourn 5022 7837272 Martirosyan-Colbourn 5622 7837784 Martirosyan-Colbourn 5624 8212904 Martirosyan-Colbourn 5626 8401472 Martirosyan-Colbourn 5628 8453960 Martirosyan-Colbourn 5640 8506448 Martirosyan-Colbourn 5698 8659770 Power CT23^3S21 5786 8712258 Power CT23^3S20 5896 8764746 Power CT23^3S19 5972 8769446 Martirosyan-Colbourn 6028 8817234 Power CT23^3S18 6074 8821205 Martirosyan-Colbourn 6160 8844450 Power CT23^3T3S13 6182 8869722 Power CT23^3S17 6258 8891106 Power CT23^3T2S14 6380 8896938 Power CT23^3T3S12 6468 8943594 Power CT23^3T2S13 6620 8949426 Power CT23^3T3S11 6699 8996082 Power CT23^3T2S12 6880 9001914 Power CT23^3T3S10 6951 9048570 Power CT23^3T2S11 7160 9054402 Power CT23^3T3S9 8000 9056346 Power CT23^3T3T3T3 8400 9155490 Power CT23^3T3T3T2 8800 9239082 Power CT23^3T3T3T1 8820 9254634 Power CT23^3T3T2T2 9200 9291570 Power CT23^3T3T3 9240 9338226 Power CT23^3T3T2T1 9261 9353778 Power CT23^3T2T2T2 9660 9390714 Power CT23^3T3T2 9680 9421818 Power CT23^3T3T1T1 9702 9437370 Power CT23^3T2T2T1 9723 9468474 Power CT23^3T2S3 10000 9474306 Power CT23^3T3T1

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