Table for CAN(5,k,20) for k up to 10000

Last Updated Sun Nov 22 06:43:43 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,20) 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 3200000 Derive from strength 6 7 3545706 Derive from strength 6 8 3732322 Derive from strength 6 9 3928760 Derive from strength 6 10 4135536 Add a symbol 11 4353195 Add a symbol 12 4582310 Add a symbol 13 4823484 Add a symbol 14 5077351 Add a symbol 15 5344580 Add a symbol 16 5625873 Add a symbol 17 5921971 Add a symbol 18 6233653 Add a symbol 24 6436337 orthogonal array fuse fuse fuse 26 9765615 orthogonal array fuse fuse fuse fuse fuse 28 11854900 Martirosyan-Tran van Trung 30 12361757 Martirosyan-Tran van Trung 32 12643050 Martirosyan-Tran van Trung 34 12939148 Martirosyan-Tran van Trung 36 13250830 Martirosyan-Tran van Trung 48 13453514 Martirosyan-Tran van Trung 50 18897536 Martirosyan-Tran van Trung 52 18907460 Martirosyan-Tran van Trung 54 23682097 Martirosyan-Tran van Trung 56 23913657 Martirosyan-Tran van Trung 58 26076978 Martirosyan-Tran van Trung 60 26357445 Martirosyan-Tran van Trung 62 26648662 Martirosyan-Tran van Trung 64 27044543 Martirosyan-Tran van Trung 66 27357181 Martirosyan-Tran van Trung 68 27363797 Martirosyan-Tran van Trung 70 27685403 Martirosyan-Tran van Trung 72 27880575 Martirosyan-Tran van Trung 74 28083259 Martirosyan-Tran van Trung 78 28099799 Martirosyan-Tran van Trung 80 28162651 Martirosyan-Tran van Trung 82 28225503 Martirosyan-Tran van Trung 84 28288355 Martirosyan-Tran van Trung 86 28351207 Martirosyan-Tran van Trung 88 28414059 Martirosyan-Tran van Trung 94 28476911 Martirosyan-Tran van Trung 96 29010165 Martirosyan-Tran van Trung 98 37846385 Martirosyan-Tran van Trung 100 37948933 Martirosyan-Tran van Trung 104 37958857 Martirosyan-Tran van Trung 108 45763652 Martirosyan-Tran van Trung 112 45995212 Martirosyan-Tran van Trung 121 47885134 Power 11^2 124 48730217 Martirosyan-Tran van Trung 128 49126098 Martirosyan-Tran van Trung 132 49438736 Martirosyan-Tran van Trung 136 49445352 Martirosyan-Tran van Trung 138 49766958 Martirosyan-Tran van Trung 140 50070958 Martirosyan-Tran van Trung 144 50266130 Martirosyan-Tran van Trung 156 52817139 Power 13^2T1 169 53058313 Power 13^2 172 54159232 Martirosyan-Tran van Trung 176 54222084 Martirosyan-Tran van Trung 184 54284936 Martirosyan-Tran van Trung 188 54559676 Martirosyan-Tran van Trung 192 55122152 Martirosyan-Tran van Trung 198 60759420 Power 16^2S4 211 61040713 Power 16^2S3 225 61322006 Power 16^2T1T1 240 61603299 Power 16^2T1 256 61884592 Power 16^2 276 62509333 Power N23^2T11 299 62750507 Power N23^2T10 322 63004374 Power N23^2T9 345 63271603 Power N23^2T8 368 63552896 Power N23^2T7 391 63848994 Power N23^2T6 414 64160676 Power N23^2T5 530 64363360 Power N23^2+1 531 77790280 Add a factor 532 91217200 Add a factor 552 91761506 Martirosyan-Tran van Trung 598 92002681 Martirosyan-Tran van Trung 644 92256548 Martirosyan-Tran van Trung 690 92523778 Martirosyan-Tran van Trung 736 92805071 Martirosyan-Tran van Trung 782 93101170 Martirosyan-Tran van Trung 828 93412853 Martirosyan-Tran van Trung 1058 93615531 Martirosyan-Tran van Trung 1060 94057775 Martirosyan-Tran van Trung 1062 107484695 Martirosyan-Tran van Trung 1128 114064440 Power N47^2T23 1222 117393718 Power N47^2T21 1316 119483003 Power N47^2T19 1410 119989860 Power N47^2T17 1504 120271153 Power N47^2T15 1598 120567251 Power N47^2T13 1692 120878933 Power N47^2T11 2210 121081617 Power N47^2+1 2300 130561454 Power 23^3T13T13 2530 130779113 Power 23^3T13T12 2783 130996772 Power 23^3T12T12 3036 131225887 Power 23^3T12T11 3312 131455002 Power 23^3T11T11 3588 131696176 Power 23^3T11T10 3887 131937350 Power 23^3T10T10 4186 132191217 Power 23^3T10T9 4508 132445084 Power 23^3T9T9 4761 132655479 Power 23^3T14 4830 132712313 Power 23^3T9T8 5290 132862255 Power 23^3T13 5819 133079914 Power 23^3T12 6348 133309029 Power 23^3T11 6877 133550203 Power 23^3T10 7406 133804070 Power 23^3T9 7935 134071299 Power 23^3T8 8464 134352592 Power 23^3T7 8993 134648690 Power 23^3T6 9522 134960372 Power 23^3T5 10000 135162737 perfect hash family21,12167,23,c fuse fuse fuse

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