Table for CAN(5,k,16) for k up to 10000

Last Updated Tue Jan 31 05:19:54 MST 2012

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,16) 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 17 1048576 orthogonal array 18 1419855 orthogonal array fuse 19 2402895 Add a factor 20 2476093 orthogonal array fuse fuse fuse 34 2531328 Martirosyan-Tran van Trung 36 3230912 Martirosyan-Tran van Trung 38 4919796 Martirosyan-Tran van Trung 40 5098402 Martirosyan-Tran van Trung 42 5575936 Martirosyan-Tran van Trung 44 5579840 Martirosyan-Tran van Trung 46 5587648 Martirosyan-Tran van Trung 50 5638400 Martirosyan-Tran van Trung 54 5696960 Martirosyan-Tran van Trung 56 5726240 Martirosyan-Tran van Trung 58 5755520 Martirosyan-Tran van Trung 66 5767232 Martirosyan-Tran van Trung 68 6277727 Martirosyan-Tran van Trung 70 7089151 Martirosyan-Tran van Trung 72 7247281 Martirosyan-Tran van Trung 76 9692468 Martirosyan-Tran van Trung 78 9894498 Martirosyan-Tran van Trung 80 9904258 Martirosyan-Tran van Trung 84 10395456 Martirosyan-Tran van Trung 88 10399360 Martirosyan-Tran van Trung 90 10407168 Martirosyan-Tran van Trung 92 10418880 Martirosyan-Tran van Trung 96 10469632 Martirosyan-Tran van Trung 100 11204032 Martirosyan-Tran van Trung 102 11262592 Martirosyan-Tran van Trung 108 11392192 Martirosyan-Tran van Trung 112 11421472 Martirosyan-Tran van Trung 116 11450752 Martirosyan-Tran van Trung 132 11462464 Martirosyan-Tran van Trung 289 11534325 Power CT17^2 290 14468565 Add a factor 291 16777200 perfect hash family16,291,17 512 17229557 Martirosyan-Tran van Trung 544 17920757 Martirosyan-Tran van Trung 576 18190502 Martirosyan-Tran van Trung 578 18568470 Martirosyan-Tran van Trung 580 22027292 Martirosyan-Tran van Trung 582 24335927 Martirosyan-Tran van Trung 612 24788284 Martirosyan-Tran van Trung 640 25230188 Martirosyan-Tran van Trung 964 25313270 Power N-CT31^2+3 966 26351285 Martirosyan-Tran van Trung 972 26370805 Martirosyan-Tran van Trung 978 26372757 Martirosyan-Tran van Trung 984 26374709 Martirosyan-Tran van Trung 992 26376661 Martirosyan-Tran van Trung 1006 26378613 Martirosyan-Tran van Trung 1010 26380565 Martirosyan-Tran van Trung 1012 26382517 Martirosyan-Tran van Trung 1024 26396181 Martirosyan-Tran van Trung 1026 27089333 Martirosyan-Tran van Trung 1030 27091285 Martirosyan-Tran van Trung 1052 27093237 Martirosyan-Tran van Trung 1056 27097141 Martirosyan-Tran van Trung 1088 27607636 Martirosyan-Tran van Trung 1120 28090471 Martirosyan-Tran van Trung 1152 28248601 Martirosyan-Tran van Trung 1156 29802014 Martirosyan-Tran van Trung 1160 33289321 Martirosyan-Tran van Trung 1164 35597956 Martirosyan-Tran van Trung 1188 36050313 Martirosyan-Tran van Trung 1190 36120363 Martirosyan-Tran van Trung 1204 36142638 Martirosyan-Tran van Trung 1216 36168014 Martirosyan-Tran van Trung 1224 36343964 Martirosyan-Tran van Trung 1272 36807340 Martirosyan-Tran van Trung 1280 36819052 Martirosyan-Tran van Trung 1296 36902134 Martirosyan-Tran van Trung 1368 36906038 Martirosyan-Tran van Trung 1376 36933366 Martirosyan-Tran van Trung 1530 36937270 Martirosyan-Tran van Trung 1536 36948982 Martirosyan-Tran van Trung 1734 37563217 Martirosyan-Tran van Trung 1928 37812982 Martirosyan-Tran van Trung 1932 38850997 Martirosyan-Tran van Trung 1944 38870517 Martirosyan-Tran van Trung 1956 38872469 Martirosyan-Tran van Trung 1968 38874421 Martirosyan-Tran van Trung 1984 38876373 Martirosyan-Tran van Trung 2012 38878325 Martirosyan-Tran van Trung 2020 38880277 Martirosyan-Tran van Trung 2024 38882229 Martirosyan-Tran van Trung 2048 38895893 Martirosyan-Tran van Trung 2052 39589045 Martirosyan-Tran van Trung 2060 39590997 Martirosyan-Tran van Trung 2104 39592949 Martirosyan-Tran van Trung 2112 39596853 Martirosyan-Tran van Trung 2176 40107348 Martirosyan-Tran van Trung 2240 40590183 Martirosyan-Tran van Trung 2304 40748313 Martirosyan-Tran van Trung 2312 42301726 Martirosyan-Tran van Trung 2320 45789033 Martirosyan-Tran van Trung 2328 48097668 Martirosyan-Tran van Trung 2376 48550025 Martirosyan-Tran van Trung 2380 48620075 Martirosyan-Tran van Trung 2408 48642350 Martirosyan-Tran van Trung 2432 48667726 Martirosyan-Tran van Trung 4913 48709611 Power CT23^3T6T6T6 5202 49080890 Power CT23^3T6T6T5 5508 49452169 Power CT23^3T6T5T5 5832 49823448 Power CT23^3T5T5T5 9248 50192363 Power CT32^3T15T15 9792 50563642 Power CT32^3T15T14 10000 50934921 Power CT31^3T13T13

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