Table for CAN(6,k,24) for k up to 10000

Last Updated Fri Sep 20 11:45:18 MST 2013

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;6,k,24) 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 7 191102976 composition 8 208081879 Add a symbol 9 217128917 Add a symbol 10 226569304 Add a symbol 11 236420143 Add a symbol 26 244140623 orthogonal array fuse 28 387420483 orthogonal array fuse fuse fuse 30 594823311 orthogonal array fuse fuse fuse fuse fuse 32 887503667 orthogonal array fuse fuse fuse fuse fuse fuse fuse 35 976562423 perfect hash family4,35,25,c fuse 50 1181640623 double OA (Colbourn-Zhou) fuse 52 1191390623 double OA (Colbourn-Zhou) fuse 53 1694166483 Add 25 factors 54 1766170042 Martirosyan-Tran van Trung 56 1860765472 Martirosyan-Tran van Trung 57 2441406220 perfect hash family10,57,26 58 2666678336 Martirosyan-Tran van Trung 60 2669507420 Martirosyan-Tran van Trung 65 2685546623 perfect hash family11,65,25,c fuse 66 2685546842 perfect hash family11,66,26 69 2929687223 perfect hash family12,69,25,c fuse 72 2929687464 perfect hash family12,72,26 75 3162332423 Add 25 factors 77 3172082423 Add 25 factors 80 3417968708 perfect hash family14,80,26 125 3662109023 perfect hash family15,125,25,c fuse 175 3853212305 Power CT25^2T18 200 3870191208 Power CT25^2T17 225 3879238246 Power CT25^2T16 250 3888678633 Power CT25^2T15 275 3898529472 Power CT25^2T14 625 3906249623 perfect hash family16,625,25,c fuse 626 3906249952 Power CT25^2+1 627 4958153848 Add 1 factors 628 5372114104 Add 2 factors 629 5753020600 Add 3 factors 651 5768888132 Power CT27^2Arc(3) 676 5912167992 Power CT27^2T1T1 702 6055447852 Power CT27^2T1 730 6198727712 Power CT27^2+1 731 7604567936 Add 1 factors 732 8125995968 Add 2 factors 757 8300141166 Power N-CT29^2Arc(3) 784 8507543994 Power N-CT29^2T1T1 812 8714946822 Power N-CT29^2T1 842 8922349650 Power N-CT29^2+1 843 10554423210 Add 1 factors 844 11200488426 Add 2 factors 845 11627497962 Add 3 factors 894 11686967908 Martirosyan-Tran van Trung 1064 11690779154 Martirosyan-Tran van Trung 1152 11915383423 Martirosyan-Tran van Trung 1250 11919194669 Martirosyan-Tran van Trung 1252 11993825851 Martirosyan-Tran van Trung 1254 13442441659 Martirosyan-Tran van Trung 1256 14221437307 Martirosyan-Tran van Trung 1258 14683919651 Martirosyan-Tran van Trung 1300 14699787183 Martirosyan-Tran van Trung 1302 14737102487 Martirosyan-Tran van Trung 1352 15558553613 Martirosyan-Tran van Trung 1410 15956151396 Power N-CT47^2T17 1504 16248831752 Power N-CT47^2T15 1645 16337890508 Power N-CT47^2T12 2212 16542968708 Power N-CT47^2+3 2239 17685020428 Power N-CT53^2Arc(12) 2525 18035802275 Power CT31^3T24S30 2885 18052781178 Power CT31^3T23S30 3243 18061828216 Power CT31^3T22S30 3602 18071268603 Power CT31^3T21S30 3962 18081119442 Power CT31^3T20S30 9351 18088839922 Power CT31^3T5S30 10000 18232119782 Power CT31^3T3S30

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