Table for CAN(4,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;4,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 5 10000 composition 6 13125 composition 12 14640 fuse symbols 13 25260 extend by one factor 14 28558 fuse symbols 23 29270 fuse symbols 24 36801 Colbourn-Martirosyan-Trung-Walker 25 53991 extend by one factor 26 55179 Colbourn-Martirosyan-Trung-Walker 30 57230 Colbourn-Martirosyan-Trung-Walker 33 58330 Colbourn-Martirosyan-Trung-Walker 40 59999 Colbourn-Martirosyan-Trung-Walker 46 60989 Colbourn-Martirosyan-Trung-Walker 48 68520 Colbourn-Martirosyan-Trung-Walker 121 69210 fuse symbols 132 71630 fuse symbols 133 91970 extend by one factor 143 93560 fuse symbols 154 97798 fuse symbols 176 101990 fuse symbols 253 108040 fuse symbols 254 118127 Colbourn-Martirosyan-Trung-Walker 264 119991 Colbourn-Martirosyan-Trung-Walker 276 139950 Colbourn-Martirosyan-Trung-Walker 286 143901 Colbourn-Martirosyan-Trung-Walker 308 144999 fuse symbols 309 146000 Colbourn-Martirosyan-Trung-Walker 321 146812 Colbourn-Martirosyan-Trung-Walker 330 148484 Colbourn-Martirosyan-Trung-Walker 550 149080 fuse symbols 1331 160080 fuse symbols 1342 167340 fuse symbols 1430 168320 fuse symbols 1452 168822 fuse symbols 1474 192952 fuse symbols 1496 193206 fuse symbols 1562 193980 fuse symbols 1573 195582 fuse symbols 1606 199820 fuse symbols 1694 210240 fuse symbols 1738 218462 fuse symbols 1859 221332 fuse symbols 1936 228592 fuse symbols 1958 235642 fuse symbols 2002 236240 fuse symbols 2057 238082 fuse symbols 2134 238982 fuse symbols 2178 240896 fuse symbols 2266 241996 fuse symbols 2299 243312 fuse symbols 2354 244312 fuse symbols 2420 244811 Colbourn-Martirosyan-Trung-Walker 2662 245801 Colbourn-Martirosyan-Trung-Walker 2783 248430 fuse symbols 2860 254041 Colbourn-Martirosyan-Trung-Walker 2904 254543 Colbourn-Martirosyan-Trung-Walker 2948 280653 Colbourn-Martirosyan-Trung-Walker 2992 280907 Colbourn-Martirosyan-Trung-Walker 3124 281681 Colbourn-Martirosyan-Trung-Walker 3146 283283 Colbourn-Martirosyan-Trung-Walker 3388 286689 fuse symbols 6050 290770 fuse symbols 6600 304080 fuse symbols 10000 312770 fuse symbols
Graph: