Table for CAN(5,k,13) for k up to 10000

Last Updated Fri Sep 20 11:41:02 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;5,k,13) 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 14 371293 orthogonal array 15 711828 extended OA (Colbourn) 17 1048570 orthogonal array fuse fuse fuse 18 1113853 perfect hash family3,18,13,c 19 1113876 perfect hash family3,19,14 28 1456611 Martirosyan-Tran van Trung 29 2115711 AZ1 31 2227752 perfect hash family6,31,14 34 2599044 perfect hash family7,34,14 36 2970253 perfect hash family8,36,13,c 42 2970336 perfect hash family8,42,14 43 3341533 perfect hash family9,43,13,c 48 3341628 perfect hash family9,48,14 52 3712813 perfect hash family10,52,13,c 59 3712920 perfect hash family10,59,14 169 4084093 perfect hash family11,169,13,c 170 4084212 Power CT13^2+1 171 4769520 AZ1 172 5428620 Add 2 factors 173 5771352 Add 3 factors 182 6113965 Add 13 factors 183 6114084 Add 13 factors 184 6799392 Add 13 factors 185 7458492 Add 13 factors 186 7801224 Add 13 factors 195 8143837 Add 13 factors 196 8143956 Add 13 factors 338 8572083 Martirosyan-Tran van Trung 340 8693882 Martirosyan-Tran van Trung 342 9379190 Martirosyan-Tran van Trung 344 10038290 Martirosyan-Tran van Trung 346 10381022 Martirosyan-Tran van Trung 364 10723635 Martirosyan-Tran van Trung 366 10891670 Martirosyan-Tran van Trung 367 12185378 AZ1 368 12895178 Martirosyan-Tran van Trung 369 13416374 Add 3 factors 377 13589043 Add 13 factors 379 13759106 Add 13 factors 391 14158059 Power N-CT23^2T6 414 14223342 Power N-CT23^2T5 437 14223365 Power N-CT23^2T4 596 14566100 Power N-CT29^2Arc(10) 616 15225200 Power N-CT29^2Arc(9) 637 15884300 Power N-CT29^2Arc(8) 730 16022710 Power CT27^2+1 731 17630914 AZ1 732 18606382 Add 2 factors 733 18949114 Add 3 factors 757 19179800 Power N-CT29^2Arc(3) 784 19838900 Power N-CT29^2T1T1 812 20498000 Power N-CT29^2T1 841 21157100 Power N-CT29^2 868 21506369 Power N-CT31^2T3 899 22165469 Power N-CT31^2T2 961 22277510 Power N-CT31^2 962 23887586 AZ1 1600 24505272 perfect hash family66,1600,14 1601 26115348 AZ1 1682 26733015 Power N-CT41^2+1 2744 27332856 Power CT23^3T9T9T9 2940 27673391 Power CT23^3T9T9T8 3332 28010133 Power CT23^3T9T9T6 3528 28075416 Power CT23^3T9T9T5 3724 28075439 Power CT23^3T9T9T4 3780 28415951 Power CT23^3T9T8T5 3990 28415974 Power CT23^3T9T8T4 5292 28418174 Power CT27^3T13T13 5670 28758709 Power CT27^3T13T12 6426 29095451 Power CT27^3T13T10 6804 29160734 Power CT27^3T13T9 7182 29160757 Power CT27^3T13T8 7290 29501269 Power CT27^3T12T9 7695 29501292 Power CT27^3T12T8 10000 29503492 Power CT27^3T13

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