Table for CAN(5,k,20) 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;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 composition 7 6240000 extend by one factor 24 6436340 fuse symbols 26 9765620 fuse symbols 48 13488390 Martirosyan-Tran van Trung 50 18929176 Martirosyan-Tran van Trung 52 18932500 Martirosyan-Tran van Trung 54 25334060 Martirosyan-Tran van Trung 56 25636544 Martirosyan-Tran van Trung 58 28289665 Martirosyan-Tran van Trung 60 28292989 Martirosyan-Tran van Trung 62 28296313 Martirosyan-Tran van Trung 64 28625389 Martirosyan-Tran van Trung 66 28643913 Martirosyan-Tran van Trung 68 28647237 Martirosyan-Tran van Trung 70 28650561 Martirosyan-Tran van Trung 78 28717041 Martirosyan-Tran van Trung 80 28780197 Martirosyan-Tran van Trung 82 28843353 Martirosyan-Tran van Trung 84 28906509 Martirosyan-Tran van Trung 86 28969665 Martirosyan-Tran van Trung 88 29032821 Martirosyan-Tran van Trung 96 29095977 Martirosyan-Tran van Trung 98 37958319 Martirosyan-Tran van Trung 100 38041419 Martirosyan-Tran van Trung 104 38044743 Martirosyan-Tran van Trung 108 47493751 Martirosyan-Tran van Trung 112 47796235 Martirosyan-Tran van Trung 116 50449356 Martirosyan-Tran van Trung 120 50452680 Martirosyan-Tran van Trung 124 50456004 Martirosyan-Tran van Trung 128 50785080 Martirosyan-Tran van Trung 132 50803604 Martirosyan-Tran van Trung 136 50806928 Martirosyan-Tran van Trung 138 50810252 Martirosyan-Tran van Trung 140 51114252 Martirosyan-Tran van Trung 144 51180732 Martirosyan-Tran van Trung 150 54532484 Martirosyan-Tran van Trung 156 54609073 Martirosyan-Tran van Trung 160 54672229 Martirosyan-Tran van Trung 164 54735385 Martirosyan-Tran van Trung 168 54798541 Martirosyan-Tran van Trung 172 54861697 Martirosyan-Tran van Trung 176 54924853 Martirosyan-Tran van Trung 184 54988009 Martirosyan-Tran van Trung 192 55291971 Martirosyan-Tran van Trung 530 64363391 linear hash family 531 77829451 extend by one factor 532 91295511 extend by one factor 1058 93658467 Martirosyan-Tran van Trung 1060 94100711 Martirosyan-Tran van Trung 1062 107566771 Martirosyan-Tran van Trung 1064 121032831 Martirosyan-Tran van Trung 2210 121395502 linear hash family 10000 135163120 Power 23^3

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