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

Last Updated Tue Mar 8 20:11:31 MST 2022

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,5) 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 3125 orthogonal array 7 4375 Ji-Li-Yin 8 5000 Xu-Ji-Dong 12 5625 4-Restricted SCPHF RE (CL) 13 6245 SCPHF Sim Annealing (TJ-IM) 16 8745 4-Restricted SCPHF RE (CL) 17 9245 Restricted CPHF Sim Annealing (TJ-IM) 19 9365 Restricted CPHF Sim Annealing (TJ-IM) 21 11245 4,4-Restricted SCPHF RE (CL) 22 11745 Restricted CPHF Sim Annealing (TJ-IM) 23 11845 Restricted CPHF Sim Annealing (TJ-IM) 25 11865 Restricted CPHF Sim Annealing (TJ-IM) 27 12485 Restricted CPHF Sim Annealing (TJ-IM) 31 14365 Restricted CPHF Sim Annealing (TJ-IM) 32 14985 Restricted CPHF Sim Annealing (TJ-IM) 34 15485 Restricted CPHF Sim Annealing (TJ-IM) 35 15585 Restricted CPHF Sim Annealing (TJ-IM) 39 15605 Restricted CPHF Sim Annealing (TJ-IM) 40 17985 4,3-restricted SCPHF RE (CL) 43 18105 Restricted CPHF Sim Annealing (TJ-IM) 44 18605 Restricted CPHF Sim Annealing (TJ-IM) 52 18725 Restricted CPHF Sim Annealing (TJ-IM) 58 21225 Restricted CPHF Sim Annealing (TJ-IM) 60 21785 Restricted CPHF Sim Annealing (TJ-IM) 77 21845 Restricted CPHF Sim Annealing (TJ-IM) 83 23725 Restricted CPHF Sim Annealing (TJ-IM) 85 24885 Restricted CPHF Sim Annealing (TJ-IM) 102 24965 Restricted CPHF Sim Annealing (TJ-IM) 111 27465 Restricted CPHF Sim Annealing (TJ-IM) 143 28085 Restricted CPHF Sim Annealing (TJ-IM) 200 31205 Restricted CPHF Sim Annealing (TJ-IM) 270 34365 Restricted CPHF Sim Annealing (TJ-IM) 350 37489 Restricted CPHF Sim Annealing (TJ-IM) 359 40325 3,3-Restricted SCPHF RE (CL) 364 40525 2,2-Restricted SCPHF RE (CL) 500 40613 Restricted CPHF Sim Annealing (TJ-IM) 700 43737 Restricted CPHF Sim Annealing (TJ-IM) 914 46861 Restricted CPHF Sim Annealing (TJ-IM) 1377 49985 Restricted CPHF Sim Annealing (TJ-IM) 1800 53109 Restricted CPHF Sim Annealing (TJ-IM) 2400 56233 Restricted CPHF Sim Annealing (TJ-IM) 2401 75773 Add 1 factors 2402 85273 Add 2 factors 2403 87773 Add 3 factors 2405 90273 Add 5 factors 2406 109813 Add 5 factors 2407 119313 Add 5 factors 2408 121813 Add 5 factors 2410 124313 Add 5 factors 2412 140566 Martirosyan-Colbourn 2604 140590 Martirosyan-Colbourn 2754 141166 Martirosyan-Colbourn 3200 144290 Martirosyan-Colbourn 3262 146786 Martirosyan-Colbourn 3284 146810 Martirosyan-Colbourn 3600 147386 Martirosyan-Colbourn 4206 150510 Martirosyan-Colbourn 4210 150534 Martirosyan-Colbourn 4214 150558 Martirosyan-Colbourn 4800 151110 Martirosyan-Colbourn 4802 170650 Martirosyan-Colbourn 4804 180150 Martirosyan-Colbourn 4806 182650 Martirosyan-Colbourn 4810 185150 Martirosyan-Colbourn 5333 196596 perfect hash family9,5333,77 5484 196812 perfect hash family4,7776,1296T382 7776 199936 perfect hash family4,7776,1296 7777 221556 Power N-CT101^2T24 8383 223436 Power N-CT101^2T18 8585 224596 Power N-CT101^2T16 10000 224676 Power N-CT101^2

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