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

Last Updated Sun Nov 22 06:43:43 MST 2009

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 5104258 Martirosyan-Tran van Trung 42 5581792 Martirosyan-Tran van Trung 44 5583744 Martirosyan-Tran van Trung 46 5589600 Martirosyan-Tran van Trung 56 5726240 Martirosyan-Tran van Trung 58 5755520 Martirosyan-Tran van Trung 60 5784800 Martirosyan-Tran van Trung 62 5814080 Martirosyan-Tran van Trung 64 5843360 Martirosyan-Tran van Trung 66 5872640 Martirosyan-Tran van Trung 68 6383135 Martirosyan-Tran van Trung 70 7194559 Martirosyan-Tran van Trung 72 7356529 Martirosyan-Tran van Trung 73 10182769 Add a factor 76 10341128 Martirosyan-Tran van Trung 88 10485750 perfect hash family10,88,17 92 11288657 Martirosyan-Tran van Trung 112 11425297 Martirosyan-Tran van Trung 116 11454577 Martirosyan-Tran van Trung 120 11483857 Martirosyan-Tran van Trung 124 11513137 Martirosyan-Tran van Trung 289 11534325 Power 17^2 290 14468565 Add a factor 291 16777200 perfect hash family16,291,17 512 17233382 Martirosyan-Tran van Trung 544 17290982 Martirosyan-Tran van Trung 576 17675927 Martirosyan-Tran van Trung 578 18574742 Martirosyan-Tran van Trung 580 21676982 Martirosyan-Tran van Trung 582 23985617 Martirosyan-Tran van Trung 610 24441799 Martirosyan-Tran van Trung 612 24445703 Martirosyan-Tran van Trung 640 24963563 Martirosyan-Tran van Trung 964 25313270 Power N31^2+3 984 26401879 Martirosyan-Tran van Trung 1012 26429207 Martirosyan-Tran van Trung 1018 26431159 Martirosyan-Tran van Trung 1024 26435063 Martirosyan-Tran van Trung 1056 26492663 Martirosyan-Tran van Trung 1064 27003158 Martirosyan-Tran van Trung 1088 27032438 Martirosyan-Tran van Trung 1102 27630473 Martirosyan-Tran van Trung 1120 27659753 Martirosyan-Tran van Trung 1140 27821723 Martirosyan-Tran van Trung 1152 27847099 Martirosyan-Tran van Trung 1156 30016549 Martirosyan-Tran van Trung 1160 33118789 Martirosyan-Tran van Trung 1164 35427424 Martirosyan-Tran van Trung 1190 35883606 Martirosyan-Tran van Trung 1196 36213156 Martirosyan-Tran van Trung 1220 36246576 Martirosyan-Tran van Trung 1224 36250480 Martirosyan-Tran van Trung 1280 37193200 Martirosyan-Tran van Trung 1734 37563217 Martirosyan-Tran van Trung 1928 37820632 Martirosyan-Tran van Trung 1968 38909241 Martirosyan-Tran van Trung 2024 38936569 Martirosyan-Tran van Trung 2036 38938521 Martirosyan-Tran van Trung 2048 38942425 Martirosyan-Tran van Trung 2112 39000025 Martirosyan-Tran van Trung 2128 39510520 Martirosyan-Tran van Trung 2176 39539800 Martirosyan-Tran van Trung 2204 40137835 Martirosyan-Tran van Trung 2240 40167115 Martirosyan-Tran van Trung 2280 40329085 Martirosyan-Tran van Trung 2304 40354461 Martirosyan-Tran van Trung 2312 42523911 Martirosyan-Tran van Trung 2320 45626151 Martirosyan-Tran van Trung 2328 47934786 Martirosyan-Tran van Trung 2380 48390968 Martirosyan-Tran van Trung 2392 48720518 Martirosyan-Tran van Trung 2440 48753938 Martirosyan-Tran van Trung 2448 48757842 Martirosyan-Tran van Trung 2560 49700562 Martirosyan-Tran van Trung 3468 50070579 Martirosyan-Tran van Trung 9248 50192363 Power 32^3T15T15 9792 50563642 Power 32^3T15T14 10000 50934921 Power 31^3T13T13

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