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

Last Updated Tue Jan 31 05:19:54 MST 2012

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 11789718 Martirosyan-Tran van Trung 30 12303155 Martirosyan-Tran van Trung 32 12587738 Martirosyan-Tran van Trung 34 12887126 Martirosyan-Tran van Trung 36 13205388 Martirosyan-Tran van Trung 38 13411362 Martirosyan-Tran van Trung 40 13414652 Martirosyan-Tran van Trung 42 13417942 Martirosyan-Tran van Trung 44 13421232 Martirosyan-Tran van Trung 46 13424522 Martirosyan-Tran van Trung 48 13434392 Martirosyan-Tran van Trung 50 18871780 Martirosyan-Tran van Trung 52 18888230 Martirosyan-Tran van Trung 54 23597631 Martirosyan-Tran van Trung 56 23814771 Martirosyan-Tran van Trung 58 25984618 Martirosyan-Tran van Trung 60 26167781 Martirosyan-Tran van Trung 62 26458944 Martirosyan-Tran van Trung 64 26679374 Martirosyan-Tran van Trung 66 27053932 Martirosyan-Tran van Trung 68 27060512 Martirosyan-Tran van Trung 70 27396244 Martirosyan-Tran van Trung 72 27439014 Martirosyan-Tran van Trung 74 27664728 Martirosyan-Tran van Trung 76 27737108 Martirosyan-Tran van Trung 78 27848968 Martirosyan-Tran van Trung 80 27895028 Martirosyan-Tran van Trung 84 28090351 Martirosyan-Tran van Trung 86 28093641 Martirosyan-Tran van Trung 88 28096931 Martirosyan-Tran van Trung 90 28100221 Martirosyan-Tran van Trung 92 28103511 Martirosyan-Tran van Trung 94 28113381 Martirosyan-Tran van Trung 96 28654744 Martirosyan-Tran van Trung 98 37338795 Martirosyan-Tran van Trung 100 37384855 Martirosyan-Tran van Trung 102 37447365 Martirosyan-Tran van Trung 104 37460525 Martirosyan-Tran van Trung 108 43434129 Martirosyan-Tran van Trung 110 43694039 Martirosyan-Tran van Trung 112 43736809 Martirosyan-Tran van Trung 114 45949426 Martirosyan-Tran van Trung 116 45969166 Martirosyan-Tran van Trung 120 46152329 Martirosyan-Tran van Trung 124 47137334 Martirosyan-Tran van Trung 126 47357764 Martirosyan-Tran van Trung 128 47366428 Martirosyan-Tran van Trung 132 47740986 Martirosyan-Tran van Trung 136 47752259 Martirosyan-Tran van Trung 138 48087991 Martirosyan-Tran van Trung 140 48783106 Martirosyan-Tran van Trung 144 48825876 Martirosyan-Tran van Trung 148 49958992 Martirosyan-Tran van Trung 152 50031372 Martirosyan-Tran van Trung 156 50143232 Martirosyan-Tran van Trung 160 50443151 Martirosyan-Tran van Trung 168 50638474 Martirosyan-Tran van Trung 170 51128430 Martirosyan-Tran van Trung 172 51264774 Martirosyan-Tran van Trung 176 51268064 Martirosyan-Tran van Trung 180 51271354 Martirosyan-Tran van Trung 184 51274644 Martirosyan-Tran van Trung 188 51284514 Martirosyan-Tran van Trung 192 51825877 Martirosyan-Tran van Trung 196 60603180 Martirosyan-Tran van Trung 200 60649240 Martirosyan-Tran van Trung 204 61001880 Martirosyan-Tran van Trung 211 61040713 Power CT16^2Arc(3) 225 61322006 Power CT16^2T1T1 240 61603299 Power CT16^2T1 256 61884592 Power CT16^2 276 62509333 Power N-CT23^2T11 299 62750507 Power N-CT23^2T10 322 63004374 Power N-CT23^2T9 345 63271603 Power N-CT23^2T8 368 63552896 Power N-CT23^2T7 391 63848994 Power N-CT23^2T6 414 64160676 Power N-CT23^2T5 530 64363360 Power N-CT23^2+1 531 77779260 Add a factor 552 90370181 Martirosyan-Tran van Trung 576 90852561 Martirosyan-Tran van Trung 598 90855851 Martirosyan-Tran van Trung 624 91363615 Martirosyan-Tran van Trung 644 91370195 Martirosyan-Tran van Trung 672 91877091 Martirosyan-Tran van Trung 690 91883671 Martirosyan-Tran van Trung 720 92240983 Martirosyan-Tran van Trung 736 92244273 Martirosyan-Tran van Trung 768 92540391 Martirosyan-Tran van Trung 782 92543681 Martirosyan-Tran van Trung 816 92855402 Martirosyan-Tran van Trung 828 92861982 Martirosyan-Tran van Trung 874 93179819 Martirosyan-Tran van Trung 912 93179838 Martirosyan-Tran van Trung 920 93186418 Martirosyan-Tran van Trung 960 93186437 Martirosyan-Tran van Trung 966 93189727 Martirosyan-Tran van Trung 1008 93189746 Martirosyan-Tran van Trung 1012 93193036 Martirosyan-Tran van Trung 1058 93193055 Martirosyan-Tran van Trung 1060 96791883 Martirosyan-Tran van Trung 1062 110207783 Martirosyan-Tran van Trung 1081 113891724 Power N-CT47^2Arc(2)T23 1104 113901594 Power N-CT47^2T23T1 1128 113911464 Power N-CT47^2T23 1147 117211132 Power N-CT47^2Arc(3)T21 1171 117221002 Power N-CT47^2Arc(2)T21 1196 117230872 Power N-CT47^2T21T1 1222 117240742 Power N-CT47^2T21 1235 119235235 Power N-CT47^2Arc(3)T19 1261 119245105 Power N-CT47^2Arc(2)T19 1288 119254975 Power N-CT47^2T19T1 1316 119264845 Power N-CT47^2T19 1323 119748672 Power N-CT47^2Arc(3)T17 1351 119758542 Power N-CT47^2Arc(2)T17 1380 119768412 Power N-CT47^2T17T1 1410 119778282 Power N-CT47^2T17 1411 120033255 Power N-CT47^2Arc(3)T15 1441 120043125 Power N-CT47^2Arc(2)T15 1472 120052995 Power N-CT47^2T15T1 1504 120062865 Power N-CT47^2T15 1531 120342513 Power N-CT47^2Arc(2)T13 1564 120352383 Power N-CT47^2T13T1 1598 120362253 Power N-CT47^2T13 1621 120660775 Power N-CT47^2Arc(2)T11 1656 120670645 Power N-CT47^2T11T1 1692 120680515 Power N-CT47^2T11 1723 120781209 Power N-CT43^2Arc(3) 1764 120784499 Power N-CT43^2T1T1 1806 120787789 Power N-CT43^2T1 1850 120791079 Power N-CT43^2+1 1852 120820689 Power N-CT43^2+3 1861 120830559 Power N-CT47^2Arc(8) 1901 120840429 Power N-CT47^2Arc(7) 1942 120850299 Power N-CT47^2Arc(6) 1984 120860169 Power N-CT47^2Arc(5) 2027 120870039 Power N-CT47^2Arc(4) 2071 120879909 Power N-CT47^2Arc(3) 2116 120889779 Power N-CT47^2T1T1 2162 120899649 Power N-CT47^2T1 2210 120909519 Power N-CT47^2+1 2300 130561454 Power CT23^3T13T13 2366 130578364 Power CT23^3T10T10T9 2530 130779113 Power CT23^3T13T12 2548 130832231 Power CT23^3T10T9T9 2783 130996772 Power CT23^3T12T12 3036 131225887 Power CT23^3T12T11 3312 131455002 Power CT23^3T11T11 3588 131696176 Power CT23^3T11T10 3887 131937350 Power CT23^3T10T10 4186 132191217 Power CT23^3T10T9 4508 132445084 Power CT23^3T9T9 4761 132655479 Power CT23^3T14 4830 132712313 Power CT23^3T9T8 5290 132862255 Power CT23^3T13 5819 133079914 Power CT23^3T12 6348 133309029 Power CT23^3T11 6877 133550203 Power CT23^3T10 7406 133804070 Power CT23^3T9 7935 134071299 Power CT23^3T8 8464 134352592 Power CT23^3T7 8993 134648690 Power CT23^3T6 9522 134960372 Power CT23^3T5 10000 135162737 perfect hash family21,12167,23,c fuse fuse fuse

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