Table for CAN(5,k,9) for k up to 10000

Last Updated Fri Mar 27 17:29:14 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;5,k,9) 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 10 59049 orthogonal array 11 110808 extended OA (Colbourn) 12 138549 orthogonal array fuse fuse postop NCK 13 176676 perfect hash family3,13,10 postop NCK 14 216548 Martirosyan-TVT postop NCK 17 216597 Martirosyan-TVT postop NCK 18 216822 Martirosyan-TVT postop NCK 19 216893 Martirosyan-TVT postop NCK 20 228089 Martirosyan-TVT postop NCK 21 327233 Add 1 factors 22 410825 Add 2 factors 23 463313 Add 3 factors 24 472384 perfect hash family8,24,10 26 497181 Add 9 factors 27 501942 Add 9 factors 28 504605 Add 9 factors 29 515801 Add 9 factors 36 531432 Power N-CT9^2Tlev 82 590480 Power N-CT9^2+1 83 695384 Add 1 factors 84 794528 Add 2 factors 85 847016 Add 3 factors 91 899504 Add 9 factors 92 1004408 Add 9 factors 93 1103552 Add 9 factors 100 1115359 Power CT11^2T1T1 110 1167118 Power CT11^2T1 121 1218877 Power CT11^2 162 1280618 Martirosyan-TVT 164 1301354 Martirosyan-TVT 166 1406258 Martirosyan-TVT 168 1505402 Martirosyan-TVT 170 1557890 Martirosyan-TVT 180 1610378 Martirosyan-TVT 182 1641938 Martirosyan-TVT 183 1834970 Add 1 factors 184 1945130 Martirosyan-TVT 190 2011076 Power N-CT19^2T9 198 2062764 Power N-CT19^2T8T1 209 2062835 Power N-CT19^2T8 216 2090505 Power N-CT19^2T7T1 228 2090576 Power N-CT19^2T7 234 2128632 Power N-CT19^2T6T1 247 2128703 Power N-CT19^2T6 259 2168032 Power N-CT19^2Trin2,2,2 274 2168257 Power N-CT19^2Trin1,2,2 289 2168328 Power N-CT19^2T2T2 290 2168482 Power N-CT19^2Arc(2)T2 306 2168553 Power N-CT19^2T2T1 323 2168624 Power N-CT19^2T2 324 2168778 Power N-CT19^2T1T1 342 2168849 Power N-CT19^2T1 361 2168920 Power N-CT19^2 362 2280880 Power N-CT19^2+1 363 2519992 Add 1 factors 364 2606320 Add 3 factors 370 2658808 Add 9 factors 371 2770768 Add 9 factors 372 3009880 Add 9 factors 373 3096208 Add 9 factors 379 3148696 Add 9 factors 380 3261232 Add 9 factors 381 3500344 Add 9 factors 396 3560157 Martirosyan-Colbourn 400 3560228 Martirosyan-Colbourn 418 3562396 Martirosyan-Colbourn 432 3590066 Martirosyan-Colbourn 456 3590137 Martirosyan-Colbourn 468 3628193 Martirosyan-Colbourn 494 3628264 Martirosyan-Colbourn 518 3667593 Martirosyan-Colbourn 548 3667818 Martirosyan-Colbourn 578 3667889 Martirosyan-Colbourn 580 3668043 Martirosyan-Colbourn 612 3668114 Martirosyan-Colbourn 646 3668185 Martirosyan-Colbourn 648 3668339 Martirosyan-Colbourn 684 3668410 Martirosyan-Colbourn 702 3668481 Martirosyan-Colbourn 722 3725641 Martirosyan-Colbourn 724 3837601 Martirosyan-Colbourn 726 4076713 Martirosyan-Colbourn 728 4163041 Martirosyan-Colbourn 740 4215529 Martirosyan-Colbourn 742 4327489 Martirosyan-Colbourn 744 4566601 Martirosyan-Colbourn 746 4652929 Martirosyan-Colbourn 758 4705417 Martirosyan-Colbourn 790 4782880 Power N-CT79^2T69 2700 4833902 Power N-CT83^2Arc(9)T47 6030 4892950 Power N-CT83^2Arc(9)T2 6031 5268646 Add 1 factors 6244 5314311 Power N-CT79^2+3 6253 5419215 Power N-CT83^2Arc(8) 6329 5524119 Power N-CT83^2Arc(7) 6406 5629023 Power N-CT83^2Arc(6) 6484 5733927 Power N-CT83^2Arc(5) 6563 5838831 Power N-CT83^2Arc(4) 6643 5943735 Power N-CT83^2Arc(3) 6724 6048639 Power N-CT83^2T1T1 6806 6153543 Power N-CT83^2T1 6889 6258447 Power N-CT83^2 6890 6634143 Add 1 factors 6891 6826599 Add 2 factors 6892 6879087 Add 3 factors 6898 6931575 Add 9 factors 7020 6942663 Martirosyan-Colbourn 10000 6972991 Martirosyan-Colbourn

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