Table for CAN(5,k,4) for k up to 10000

Last Updated Sat Nov 16 07:54:02 MST 2019

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,4) 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 6 1024 orthogonal array 7 1408 CPHF 3-stage (IM-TJ-AJ-AG) 8 1600 CPHF 3-stage (IM-TJ-AJ-AG) 10 1792 4-Restricted SCPHF RE (CL) 11 1984 3-Restricted SCPHF RE (CL) 12 2047 CPHF 3-stage (IM-TJ-AJ-AG) 13 2807 CPHF 3-stage (IM-TJ-AJ-AG) 14 2812 4-Restricted SCPHF RE (CL) 15 3004 3-Restricted SCPHF RE (CL) 16 3429 CPHF 3-stage (IM-TJ-AJ-AG) 17 3580 4,4-Restricted SCPHF RE (CL) 18 3820 4,2-restricted SCPHF RE (CL) 19 3964 3,3-Restricted SCPHF RE (CL) 20 4060 2,2-Restricted SCPHF RE (CL) 21 4419 CPHF 3-stage (IM-TJ-AJ-AG) 22 4597 CPHF 3-stage (IM-TJ-AJ-AG) 23 4600 4,4-Restricted SCPHF RE (CL) 24 4847 CPHF 3-stage (IM-TJ-AJ-AG) 25 5044 3-Restricted SCPHF RE (CL) 26 5092 2-Restricted SCPHF RE (CL) 28 5104 SCPHF Sim Annealing (TJ-IM) 29 5452 CPHF 3-stage (IM-TJ-AJ-AG) 30 5701 CPHF 3-stage (IM-TJ-AJ-AG) 31 5708 CPHF 3-stage (IM-TJ-AJ-AG) 32 5859 CPHF 3-stage (IM-TJ-AJ-AG) 33 5980 CPHF 3-stage (IM-TJ-AJ-AG) 34 6111 CPHF 3-stage (IM-TJ-AJ-AG) 35 6139 CPHF Sim Annealing (TJ-IM) 36 6389 CPHF 3-stage (IM-TJ-AJ-AG) 37 6636 CPHF 3-stage (IM-TJ-AJ-AG) 38 6640 4,4-Restricted SCPHF RE (CL) 39 6747 CPHF 3-stage (IM-TJ-AJ-AG) 40 6865 CPHF 3-stage (IM-TJ-AJ-AG) 41 6892 4-Restricted SCPHF RE (CL) 42 7030 CPHF 3-stage (IM-TJ-AJ-AG) 43 7162 CPHF 3-stage (IM-TJ-AJ-AG) 44 7210 CPHF 3-stage (IM-TJ-AJ-AG) 45 7290 CPHF 3-stage (IM-TJ-AJ-AG) 46 7353 CPHF 3-stage (IM-TJ-AJ-AG) 47 7376 CPHF 3-stage (IM-TJ-AJ-AG) 48 7385 CPHF 3-stage (IM-TJ-AJ-AG) 49 7411 CPHF 3-stage (IM-TJ-AJ-AG) 50 7447 CPHF 3-stage (IM-TJ-AJ-AG) 51 7531 CPHF 3-stage (IM-TJ-AJ-AG) 52 7598 CPHF 3-stage (IM-TJ-AJ-AG) 53 7615 CPHF 3-stage (IM-TJ-AJ-AG) 54 7641 CPHF 3-stage (IM-TJ-AJ-AG) 55 7676 CPHF 3-stage (IM-TJ-AJ-AG) 56 7718 CPHF 3-stage (IM-TJ-AJ-AG) 57 7799 CPHF 3-stage (IM-TJ-AJ-AG) 58 7870 CPHF 3-stage (IM-TJ-AJ-AG) 59 7881 CPHF 3-stage (IM-TJ-AJ-AG) 60 7932 CPHF 3-stage (IM-TJ-AJ-AG) 61 7977 CPHF 3-stage (IM-TJ-AJ-AG) 62 8017 CPHF 3-stage (IM-TJ-AJ-AG) 63 8094 CPHF 3-stage (IM-TJ-AJ-AG) 64 8176 CPHF 3-stage (IM-TJ-AJ-AG) 65 8237 CPHF 3-stage (IM-TJ-AJ-AG) 66 8300 CPHF 3-stage (IM-TJ-AJ-AG) 67 8411 CPHF 3-stage (IM-TJ-AJ-AG) 68 8434 CPHF 3-stage (IM-TJ-AJ-AG) 69 8450 CPHF 3-stage (IM-TJ-AJ-AG) 70 8481 CPHF 3-stage (IM-TJ-AJ-AG) 71 8504 CPHF 3-stage (IM-TJ-AJ-AG) 72 8528 CPHF 3-stage (IM-TJ-AJ-AG) 73 8580 CPHF 3-stage (IM-TJ-AJ-AG) 74 8615 CPHF 3-stage (IM-TJ-AJ-AG) 75 8637 CPHF 3-stage (IM-TJ-AJ-AG) 76 8675 CPHF 3-stage (IM-TJ-AJ-AG) 77 8712 CPHF 3-stage (IM-TJ-AJ-AG) 78 8736 CPHF 3-stage (IM-TJ-AJ-AG) 79 8810 CPHF 3-stage (IM-TJ-AJ-AG) 80 8831 CPHF 3-stage (IM-TJ-AJ-AG) 81 8869 CPHF 3-stage (IM-TJ-AJ-AG) 82 8929 CPHF 3-stage (IM-TJ-AJ-AG) 83 9070 CPHF 3-stage (IM-TJ-AJ-AG) 84 9208 CPHF 3-stage (IM-TJ-AJ-AG) 85 9254 CPHF 3-stage (IM-TJ-AJ-AG) 86 9495 CPHF 3-stage (IM-TJ-AJ-AG) 87 9550 CPHF 3-stage (IM-TJ-AJ-AG) 88 9618 CPHF 3-stage (IM-TJ-AJ-AG) 89 9670 CPHF 3-stage (IM-TJ-AJ-AG) 90 9735 CPHF 3-stage (IM-TJ-AJ-AG) 91 9755 CPHF 3-stage (IM-TJ-AJ-AG) 92 9790 CPHF 3-stage (IM-TJ-AJ-AG) 93 9811 CPHF 3-stage (IM-TJ-AJ-AG) 94 9854 CPHF 3-stage (IM-TJ-AJ-AG) 95 9873 CPHF 3-stage (IM-TJ-AJ-AG) 96 9926 CPHF 3-stage (IM-TJ-AJ-AG) 97 9958 CPHF 3-stage (IM-TJ-AJ-AG) 98 9976 CPHF 3-stage (IM-TJ-AJ-AG) 99 10008 CPHF 3-stage (IM-TJ-AJ-AG) 100 10050 CPHF 3-stage (IM-TJ-AJ-AG) 125 10748 CPHF 3-stage (IM-TJ-AJ-AG) 150 11268 CPHF 3-stage (IM-TJ-AJ-AG) 195 11774 CPHF 3-stage (IM-TJ-AJ-AG) 200 12305 CPHF 3-stage (IM-TJ-AJ-AG) 250 12963 CPHF 3-stage (IM-TJ-AJ-AG) 300 13670 CPHF 3-stage (IM-TJ-AJ-AG) 350 13941 CPHF 3-stage (IM-TJ-AJ-AG) 400 14614 CPHF 3-stage (IM-TJ-AJ-AG) 500 15197 CPHF 3-stage (IM-TJ-AJ-AG) 600 15755 CPHF 3-stage (IM-TJ-AJ-AG) 1000 17410 CPHF 3-stage (IM-TJ-AJ-AG) 1500 18971 CPHF 3-stage (IM-TJ-AJ-AG) 2160 19841 CPHF 3-stage (IM-TJ-AJ-AG) 2161 27029 Add 1 factors 2162 29909 Add 2 factors 2163 30677 Add 3 factors 2164 31445 Add 4 factors 2165 35167 Add 5 factors 2166 41513 Add 4 factors 2167 42281 Add 4 factors 2168 43049 Add 4 factors 2194 45519 Martirosyan-Colbourn 2230 45564 Martirosyan-Colbourn 2308 47631 Martirosyan-Colbourn 2400 48639 Martirosyan-Colbourn 2640 49176 Martirosyan-Colbourn 3000 49308 Martirosyan-Colbourn 3312 50178 Martirosyan-Colbourn 3600 50184 Martirosyan-Colbourn 3856 50358 Martirosyan-Colbourn 4320 50439 Martirosyan-Colbourn 4322 57627 Martirosyan-Colbourn 4324 60507 Martirosyan-Colbourn 4326 61275 Martirosyan-Colbourn 4328 62043 Martirosyan-Colbourn 4330 65765 Martirosyan-Colbourn 4332 72111 Martirosyan-Colbourn 4334 72879 Martirosyan-Colbourn 4335 73569 Power CT19^3T4T2T2 4336 73647 Martirosyan-Colbourn 4522 73761 Power CT19^3T5T2 4560 73802 Power CT19^3T4T3 4590 73809 Power CT19^3T4T2T1 4605 73905 Power CT19^3T4S3 4845 73953 Power CT19^3T4T2 4860 74049 Power CT19^3T4T1T1 5054 74145 Power CT19^3T5 5130 74193 Power CT19^3T4T1 6000 74319 perfect hash family4,7776,1296T296 6137 74913 Power CT19^3T2 6156 75009 Power CT19^3T1T1 6498 75153 Power CT19^3T1 6859 75297 Power CT19^3 7776 75880 perfect hash family4,7776,1296 7780 82446 Martirosyan-Colbourn 8640 82447 Martirosyan-Colbourn 8740 86205 Power CT23^3T4T3 8800 86298 Power CT23^3T3T3T1 9200 86301 Power CT23^3T3T3 9522 86601 Power CT23^3T5 9660 86660 Power CT23^3T3T2 10000 86745 Power CT23^3T4

Graph: