Table for CAN(5,k,21) 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,21) 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).

Change t: - + Change v: - + or go to Global Menu.

k N Source 6 4084101 Derive from strength 6 7 4473063 Ji-Li-Yin 8 5514335 Add a symbol 9 6094791 Add a symbol 24 6436339 orthogonal array fuse fuse 26 9765617 orthogonal array fuse fuse fuse fuse 28 13857307 Martirosyan-Tran van Trung 30 13860863 Martirosyan-Tran van Trung 32 13864419 Martirosyan-Tran van Trung 36 13867975 Martirosyan-Tran van Trung 40 13871531 Martirosyan-Tran van Trung 44 13875087 Martirosyan-Tran van Trung 46 13878643 Martirosyan-Tran van Trung 48 13885755 Martirosyan-Tran van Trung 50 19437745 Martirosyan-Tran van Trung 52 19448413 Martirosyan-Tran van Trung 54 26612375 Martirosyan-Tran van Trung 56 26623043 Martirosyan-Tran van Trung 58 28845703 Martirosyan-Tran van Trung 60 28859927 Martirosyan-Tran van Trung 62 29105291 Martirosyan-Tran van Trung 64 29115959 Martirosyan-Tran van Trung 66 29119515 Martirosyan-Tran van Trung 68 29130183 Martirosyan-Tran van Trung 70 29375547 Martirosyan-Tran van Trung 72 29382659 Martirosyan-Tran van Trung 74 29396883 Martirosyan-Tran van Trung 76 29411107 Martirosyan-Tran van Trung 80 29585351 Martirosyan-Tran van Trung 84 29670695 Martirosyan-Tran van Trung 88 29720479 Martirosyan-Tran van Trung 92 29724035 Martirosyan-Tran van Trung 94 29731147 Martirosyan-Tran van Trung 96 31266907 Martirosyan-Tran van Trung 100 40187017 Martirosyan-Tran van Trung 102 40197685 Martirosyan-Tran van Trung 104 40365965 Martirosyan-Tran van Trung 108 49521687 Martirosyan-Tran van Trung 110 49582139 Martirosyan-Tran van Trung 112 49631923 Martirosyan-Tran van Trung 114 51904367 Martirosyan-Tran van Trung 116 51950595 Martirosyan-Tran van Trung 120 51964819 Martirosyan-Tran van Trung 124 52210183 Martirosyan-Tran van Trung 128 52220851 Martirosyan-Tran van Trung 132 52224407 Martirosyan-Tran van Trung 136 52235075 Martirosyan-Tran van Trung 138 52480439 Martirosyan-Tran van Trung 140 54529079 Martirosyan-Tran van Trung 144 54536191 Martirosyan-Tran van Trung 148 56186995 Martirosyan-Tran van Trung 150 56201219 Martirosyan-Tran van Trung 152 56203619 Martirosyan-Tran van Trung 160 56377863 Martirosyan-Tran van Trung 168 56463207 Martirosyan-Tran van Trung 170 56512991 Martirosyan-Tran van Trung 176 56539471 Martirosyan-Tran van Trung 184 56543027 Martirosyan-Tran van Trung 188 56550139 Martirosyan-Tran van Trung 192 58085899 Martirosyan-Tran van Trung 207 64021832 Power N-CT23^2T14 530 64363380 Power N-CT23^2+1 531 79238520 Add a factor 532 94113660 Add a factor 552 94951972 Martirosyan-Tran van Trung 576 94952012 Martirosyan-Tran van Trung 598 94955568 Martirosyan-Tran van Trung 624 95066788 Martirosyan-Tran van Trung 672 95070344 Martirosyan-Tran van Trung 720 95073900 Martirosyan-Tran van Trung 768 95077456 Martirosyan-Tran van Trung 864 95081012 Martirosyan-Tran van Trung 960 95084568 Martirosyan-Tran van Trung 1056 95088124 Martirosyan-Tran van Trung 1058 95091680 Martirosyan-Tran van Trung 1060 99525140 Martirosyan-Tran van Trung 1062 114400280 Martirosyan-Tran van Trung 1081 117508146 Power N-CT47^2Arc(2)T23 1104 117515258 Power N-CT47^2T23T1 1128 117522370 Power N-CT47^2T23 1147 120830312 Power N-CT47^2Arc(3)T21 1171 120837424 Power N-CT47^2Arc(2)T21 1196 120844536 Power N-CT47^2T21T1 1222 120851648 Power N-CT47^2T21 1284 124840214 Power N-CT41^2Arc(9)T2 1348 124843770 Power N-CT41^2Arc(9) 1381 124847326 Power N-CT41^2Arc(8) 1415 124850882 Power N-CT41^2Arc(7) 1450 124854438 Power N-CT41^2Arc(6) 1486 124857994 Power N-CT41^2Arc(5) 1523 124861550 Power N-CT41^2Arc(4) 1561 124865106 Power N-CT41^2Arc(3) 1600 124868662 Power N-CT41^2T1T1 1720 124872218 Power N-CT43^2T3 1850 124875774 Power N-CT43^2+1 1852 124907778 Power N-CT43^2+3 1861 124914890 Power N-CT47^2Arc(8) 1901 124922002 Power N-CT47^2Arc(7) 1942 124929114 Power N-CT47^2Arc(6) 1984 124936226 Power N-CT47^2Arc(5) 2027 124943338 Power N-CT47^2Arc(4) 2071 124950450 Power N-CT47^2Arc(3) 2116 124957562 Power N-CT47^2T1T1 2162 124964674 Power N-CT47^2T1 2210 124971786 Power N-CT47^2+1 3174 132810860 Power CT23^3T17 3703 133199822 Power CT23^3T16 4232 134241094 Power CT23^3T15 4761 134821550 Power CT23^3T14 10000 135162739 perfect hash family21,12167,23,c fuse fuse

Graph: