Table for CAN(5,k,18) for k up to 10000

Last Updated Tue Nov 3 18:45:16 MST 2009

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,18) 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 1889568 Derive from strength 6 7 1955178 Ji-Li-Yin 8 2243020 Derive from strength 6 9 2374962 Add a symbol 20 2476097 orthogonal array fuse 21 4574033 Add a factor 40 5605136 Martirosyan-Tran van Trung 41 9565388 Add a factor 42 9570492 Martirosyan-Tran van Trung 46 11597431 Martirosyan-Tran van Trung 48 11605087 Martirosyan-Tran van Trung 50 12070999 Martirosyan-Tran van Trung 52 12076103 Martirosyan-Tran van Trung 54 12081207 Martirosyan-Tran van Trung 56 12086311 Martirosyan-Tran van Trung 58 12091415 Martirosyan-Tran van Trung 60 12239431 Martirosyan-Tran van Trung 66 12247087 Martirosyan-Tran van Trung 68 12293023 Martirosyan-Tran van Trung 70 12336407 Martirosyan-Tran van Trung 72 12379791 Martirosyan-Tran van Trung 74 12423175 Martirosyan-Tran van Trung 76 12466559 Martirosyan-Tran van Trung 78 12509943 Martirosyan-Tran van Trung 80 13358889 Martirosyan-Tran van Trung 81 19169829 Add a factor 82 20298714 Martirosyan-Tran van Trung 84 20605262 Martirosyan-Tran van Trung 87 22284737 perfect hash family9,87,19,c fuse 98 22284864 perfect hash family9,98,20 100 23588314 Martirosyan-Tran van Trung 104 23593418 Martirosyan-Tran van Trung 108 23598522 Martirosyan-Tran van Trung 112 23603626 Martirosyan-Tran van Trung 114 23608730 Martirosyan-Tran van Trung 116 24005306 Martirosyan-Tran van Trung 120 24153322 Martirosyan-Tran van Trung 133 24240041 Power N19^2T12 152 24527883 Power N19^2T11 171 24659825 Power N19^2T10 362 24760960 Power N19^2+1 363 30835672 Add a factor 364 36910384 Add a factor 722 37269681 Martirosyan-Tran van Trung 724 37711545 Martirosyan-Tran van Trung 726 43786257 Martirosyan-Tran van Trung 728 49860969 Martirosyan-Tran van Trung 760 50220266 Martirosyan-Tran van Trung 1348 50446215 Power N41^2S9 1381 54406467 Power N41^2S8 1386 57273194 Martirosyan-Tran van Trung 1428 57319130 Martirosyan-Tran van Trung 1444 57362514 Martirosyan-Tran van Trung 1448 57804378 Martirosyan-Tran van Trung 1450 62326971 Power N41^2S6 1452 63879090 Martirosyan-Tran van Trung 1486 66287223 Power N41^2S5 1523 70247475 Power N41^2S4 1561 74207727 Power N41^2S3 1580 76730125 Martirosyan-Tran van Trung 1596 76754571 Martirosyan-Tran van Trung 1624 77086716 Martirosyan-Tran van Trung 1682 77091820 Martirosyan-Tran van Trung 2034 77104580 Martirosyan-Tran van Trung 2106 77240648 Martirosyan-Tran van Trung 2166 77377889 Martirosyan-Tran van Trung 2696 78213014 Martirosyan-Tran van Trung 2762 82419353 Martirosyan-Tran van Trung 2772 85039993 Martirosyan-Tran van Trung 2856 85085929 Martirosyan-Tran van Trung 2888 85129313 Martirosyan-Tran van Trung 2896 85571177 Martirosyan-Tran van Trung 2900 90832031 Martirosyan-Tran van Trung 2904 91645889 Martirosyan-Tran van Trung 2972 95038370 Martirosyan-Tran van Trung 3046 99244709 Martirosyan-Tran van Trung 3122 103451048 Martirosyan-Tran van Trung 3160 104496924 Martirosyan-Tran van Trung 3192 104521370 Martirosyan-Tran van Trung 3248 104853515 Martirosyan-Tran van Trung 3364 104858619 Martirosyan-Tran van Trung 3990 104871379 Martirosyan-Tran van Trung 4068 104876483 Martirosyan-Tran van Trung 4200 105012551 Martirosyan-Tran van Trung 4212 105017655 Martirosyan-Tran van Trung 4332 105154896 Martirosyan-Tran van Trung 4410 105990021 Martirosyan-Tran van Trung 5392 106066581 Martirosyan-Tran van Trung 5524 110272920 Martirosyan-Tran van Trung 5760 111348622 Power 32^3T23T12 10000 111449757 Power 25^3T5T5

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