Table for CAN(6,k,13) 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;6,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 4826809 orthogonal array 15 9282325 extend by one factor 16 13737841 extend by one factor 17 16777213 fuse symbols 28 23762752 Martirosyan-Tran van Trung 29 36758332 extend by one factor 30 49753912 extend by one factor 32 62748505 perfect hash family 36 67575313 perfect hash family 39 72402121 perfect hash family 65 77228929 perfect hash family 66 98478157 extend by one factor 69 111016585 perfect hash family 70 132265813 extend by one factor 72 144804241 perfect hash family 120 157799509 perfect hash family 121 179048737 extend by one factor 122 200297965 extend by one factor 123 213493453 perfect hash family 256 219805441 Power 16^2 257 253100989 extend by one factor 289 268435393 Power 17^2 290 301730941 extend by one factor 291 335026489 extend by one factor 292 368322037 extend by one factor 730 380204017 Power 28^2 731 426131821 extend by one factor 732 472059625 extend by one factor 733 517987429 extend by one factor 841 551374966 linear hash family 842 600807154 extend by one factor 843 650239342 extend by one factor 844 699671530 extend by one factor 845 749103718 extend by one factor 846 798535906 extend by one factor 847 847968094 extend by one factor 884 876197970 Martirosyan-Tran van Trung 936 876782034 Martirosyan-Tran van Trung 988 878422720 Martirosyan-Tran van Trung 1044 880174912 Martirosyan-Tran van Trung 1064 880266640 Martirosyan-Tran van Trung 1172 880281928 Martirosyan-Tran van Trung 1228 880465384 Martirosyan-Tran van Trung 1248 880648840 Martirosyan-Tran van Trung 1284 884129032 Martirosyan-Tran van Trung 1340 884312488 Martirosyan-Tran van Trung 1352 884495944 Martirosyan-Tran van Trung 1360 885664072 Martirosyan-Tran van Trung 1460 892372528 Martirosyan-Tran van Trung 1461 941804716 extend by one factor 1462 957598780 Martirosyan-Tran van Trung 1463 1007030968 extend by one factor 1464 1016083696 Martirosyan-Tran van Trung 1466 1062011500 Martirosyan-Tran van Trung 3725 1081204993 linear hash family 3726 1155152893 extend by one factor 3727 1229100793 extend by one factor 4097 1235662849 perfect hash family 4098 1315898797 extend by one factor 4099 1396134745 extend by one factor 4100 1438388785 perfect hash family 4101 1472176441 perfect hash family 4102 1552412389 extend by one factor 4491 1554232177 linear hash family 4492 1635323629 extend by one factor 4493 1716415081 extend by one factor 4628 1766596808 Martirosyan-Tran van Trung 4688 1768622780 Martirosyan-Tran van Trung 4732 1768806236 Martirosyan-Tran van Trung 4912 1827321212 Martirosyan-Tran van Trung 4940 1827504668 Martirosyan-Tran van Trung 4992 1828195384 Martirosyan-Tran van Trung 5044 1831675576 Martirosyan-Tran van Trung 5070 1835244596 Martirosyan-Tran van Trung 5096 1840964324 Martirosyan-Tran van Trung 5136 1861286444 Martirosyan-Tran van Trung 5200 1861469900 Martirosyan-Tran van Trung 5360 1930775447 Martirosyan-Tran van Trung 5408 1930958903 Martirosyan-Tran van Trung 5434 1934077967 Martirosyan-Tran van Trung 10000 1940376817 perfect hash family

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