Table for CAN(5,k,19) for k up to 10000

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,19) 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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bytes used=102004024, alloc=52026056, time=34.21 k N Source 20 2476099 orthogonal array 21 4821877 extend by one factor 40 5823291 Martirosyan-Tran van Trung 41 10391385 extend by one factor 42 10832451 Martirosyan-Tran van Trung 48 12302837 Martirosyan-Tran van Trung 50 14061405 Martirosyan-Tran van Trung 52 14064179 Martirosyan-Tran van Trung 54 14066953 Martirosyan-Tran van Trung 56 14069727 Martirosyan-Tran van Trung 58 14322161 Martirosyan-Tran van Trung 60 14324935 Martirosyan-Tran van Trung 62 14327709 Martirosyan-Tran van Trung 64 14330483 Martirosyan-Tran van Trung 72 14413703 Martirosyan-Tran van Trung 74 14463635 Martirosyan-Tran van Trung 76 14513567 Martirosyan-Tran van Trung 80 14680463 Martirosyan-Tran van Trung 81 21470873 extend by one factor 82 23194895 Martirosyan-Tran van Trung 84 23635961 Martirosyan-Tran van Trung 362 24760981 linear hash family 363 31551391 extend by one factor 722 38069589 Martirosyan-Tran van Trung 724 38537445 Martirosyan-Tran van Trung 726 45327855 Martirosyan-Tran van Trung 760 51846053 Martirosyan-Tran van Trung 798 55785569 Martirosyan-Tran van Trung 800 56304473 Martirosyan-Tran van Trung 874 56695607 Martirosyan-Tran van Trung 912 56929535 Martirosyan-Tran van Trung 1372 58232901 linear hash family 1438 60832121 Martirosyan-Tran van Trung 1444 60882053 Martirosyan-Tran van Trung 1448 61466873 Martirosyan-Tran van Trung 1452 68257283 Martirosyan-Tran van Trung 1478 74775481 Martirosyan-Tran van Trung 1518 74825413 Martirosyan-Tran van Trung 1520 74836509 Martirosyan-Tran van Trung 1568 84827715 Martirosyan-Tran van Trung 1596 84866551 Martirosyan-Tran van Trung 1600 85854427 Martirosyan-Tran van Trung 1748 86245561 Martirosyan-Tran van Trung 1824 86479489 Martirosyan-Tran van Trung 2744 87818981 Martirosyan-Tran van Trung 2876 90418201 Martirosyan-Tran van Trung 2888 90468133 Martirosyan-Tran van Trung 2896 91052953 Martirosyan-Tran van Trung 2904 97843363 Martirosyan-Tran van Trung 2956 104361561 Martirosyan-Tran van Trung 3036 104411493 Martirosyan-Tran van Trung 3040 104422589 Martirosyan-Tran van Trung 3136 114413795 Martirosyan-Tran van Trung 3192 114452631 Martirosyan-Tran van Trung 3200 115440507 Martirosyan-Tran van Trung 3496 115831641 Martirosyan-Tran van Trung 3648 116065569 Martirosyan-Tran van Trung 5488 117405061 Martirosyan-Tran van Trung 5752 120004281 Martirosyan-Tran van Trung 5776 120054213 Martirosyan-Tran van Trung 5792 120639033 Martirosyan-Tran van Trung 10000 122289091 Power 23^3

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