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

Last Updated Fri Mar 27 17:29:25 MST 2015

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 208066905 Augment OA 9 217091292 Augment OA 10 226488680 Augment OA 11 236266448 Augment OA 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 1597660395 Martirosyan-TVT variant 54 1766052247 Martirosyan-TVT 55 1766091509 Martirosyan-TVT variant 56 1860726205 Martirosyan-TVT 57 2423364112 Martirosyan-TVT variant 58 2661262464 Martirosyan-TVT 59 2661383074 Martirosyan-TVT variant 60 2664332793 Martirosyan-TVT 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 3870176234 Power CT25^2T17 225 3879200621 Power CT25^2T16 250 3888598009 Power CT25^2T15 275 3898375777 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 7603022336 Add 1 factors 732 8124450368 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 895 11686967908 Martirosyan-TVT variant 1064 11690779154 Martirosyan-TVT 1151 11915383423 Martirosyan-TVT variant 1250 11919194669 Martirosyan-TVT 1251 11956512943 Martirosyan-TVT variant 1252 11993825851 Martirosyan-TVT 1254 13442441659 Martirosyan-TVT 1256 14221437307 Martirosyan-TVT 1258 14683919651 Martirosyan-TVT 1300 14699787183 Martirosyan-TVT 1301 14718444835 Martirosyan-TVT variant 1302 14737102487 Martirosyan-TVT 1303 15239273405 Martirosyan-TVT variant 1352 15562458299 Martirosyan-TVT 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 17492008252 Power N-CT53^2Arc(12) 2281 17898278024 Power N-CT53^2Arc(11) 2525 18035802275 Power CT31^3T24S30 2885 18052766204 Power CT31^3T23S30 3243 18061790591 Power CT31^3T22S30 3602 18071187979 Power CT31^3T21S30 3962 18080965747 Power CT31^3T20S30 9351 18088839922 Power CT31^3T5S30 10000 18232119782 Power CT31^3T3S30

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