Table for CAN(6,k,12) 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,12) 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 7 2985984 composition 14 4826808 fuse symbols 15 8596728 extend by one factor 16 12366648 extend by one factor 17 16777212 fuse symbols 24 23189040 Martirosyan-Tran van Trung 28 23210965 Martirosyan-Tran van Trung 29 33097897 extend by one factor 30 42984829 extend by one factor 31 57680785 extend by one factor 32 60016772 Martirosyan-Tran van Trung 34 65226848 Martirosyan-Tran van Trung 36 67575299 perfect hash family 39 72402106 perfect hash family 40 74151428 Martirosyan-Tran van Trung 42 75407804 Martirosyan-Tran van Trung 44 76664180 Martirosyan-Tran van Trung 65 77228913 perfect hash family 66 95208897 extend by one factor 69 111016562 perfect hash family 70 128996546 extend by one factor 72 144804211 perfect hash family 120 146144360 perfect hash family 121 164124344 extend by one factor 122 182104328 extend by one factor 123 197724722 perfect hash family 256 197866353 Power 16^2 257 226039377 extend by one factor 258 254212401 extend by one factor 289 268435377 Power 17^2 290 296608401 extend by one factor 291 324781425 extend by one factor 292 352954449 extend by one factor 312 368980771 Martirosyan-Tran van Trung 338 369043256 Martirosyan-Tran van Trung 530 371024625 Power 24^2 730 371375425 Power 28^2 731 410237281 extend by one factor 732 449099137 extend by one factor 733 487960993 extend by one factor 841 496468441 linear hash family 842 538295545 extend by one factor 843 580122649 extend by one factor 844 621949753 extend by one factor 845 663776857 extend by one factor 846 705603961 extend by one factor 847 747431065 extend by one factor 848 789258169 extend by one factor 884 817675615 Martirosyan-Tran van Trung 896 818166391 Martirosyan-Tran van Trung 900 820858608 Martirosyan-Tran van Trung 930 821155344 Martirosyan-Tran van Trung 936 822183904 Martirosyan-Tran van Trung 954 822427224 Martirosyan-Tran van Trung 960 824469724 Martirosyan-Tran van Trung 988 824531544 Martirosyan-Tran van Trung 1004 826003872 Martirosyan-Tran van Trung 1060 826028600 Martirosyan-Tran van Trung 1080 826379400 Martirosyan-Tran van Trung 1140 826515404 Martirosyan-Tran van Trung 1200 826651408 Martirosyan-Tran van Trung 1248 826762684 Martirosyan-Tran van Trung 1272 828497219 Martirosyan-Tran van Trung 1292 828720101 Martirosyan-Tran van Trung 1332 828856105 Martirosyan-Tran van Trung 1352 830033737 Martirosyan-Tran van Trung 1360 831506065 Martirosyan-Tran van Trung 1460 837494432 Martirosyan-Tran van Trung 1461 879321536 extend by one factor 1462 891322052 Martirosyan-Tran van Trung 1463 933149156 extend by one factor 1464 933607097 Martirosyan-Tran van Trung 1466 974201915 Martirosyan-Tran van Trung 1470 982709363 Martirosyan-Tran van Trung 1472 994485683 Martirosyan-Tran van Trung 1516 994621687 Martirosyan-Tran van Trung 1534 994757691 Martirosyan-Tran van Trung 1536 1021827798 Martirosyan-Tran van Trung 1552 1025793331 Martirosyan-Tran van Trung 1560 1025818059 Martirosyan-Tran van Trung 1568 1026109592 Martirosyan-Tran van Trung 1652 1026245596 Martirosyan-Tran van Trung 1664 1050419640 Martirosyan-Tran van Trung 1680 1050665028 Martirosyan-Tran van Trung 1682 1050937036 Martirosyan-Tran van Trung 1850 1073298507 linear hash family 3725 1081204769 linear hash family 3726 1143775937 extend by one factor 3727 1206347105 extend by one factor 4097 1235662593 perfect hash family 4098 1301014341 extend by one factor 4099 1366366089 extend by one factor 4100 1431717837 extend by one factor 4101 1472176136 perfect hash family 4102 1537527884 extend by one factor 4491 1554231855 linear hash family 4492 1622172915 extend by one factor 4493 1690113975 extend by one factor 4560 1729108212 Martirosyan-Tran van Trung 4628 1729244216 Martirosyan-Tran van Trung 4732 1731240704 Martirosyan-Tran van Trung 10000 1788104305 Power 31^3

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