Table for CAN(6,k,14) 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,14) 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 7529536 composition 8 10000165 composition 17 16777214 fuse symbols 18 24137566 fuse symbols 19 36064754 extend by one factor 20 47045876 fuse symbols 23 67108853 perfect hash family 28 76658460 Martirosyan-Tran van Trung 34 80051208 Martirosyan-Tran van Trung 36 101600240 Martirosyan-Tran van Trung 37 133545244 extend by one factor 38 165490248 extend by one factor 39 167772131 perfect hash family 41 184549344 perfect hash family 42 218103770 perfect hash family 43 234880983 perfect hash family 46 235968072 Martirosyan-Tran van Trung 48 248554559 Martirosyan-Tran van Trung 85 251658196 perfect hash family 289 268435409 Power 17^2 290 331205935 extend by one factor 291 404526819 extend by one factor 292 479530839 extend by one factor 513 536870817 perfect hash family 514 631496803 extend by one factor 515 726821669 extend by one factor 516 754974586 perfect hash family 517 850299452 extend by one factor 544 868528849 Martirosyan-Tran van Trung 576 904374213 Martirosyan-Tran van Trung 578 991141721 Martirosyan-Tran van Trung 580 1091892539 Martirosyan-Tran van Trung 582 1196775863 Martirosyan-Tran van Trung 964 1200768106 linear hash family 1026 1280819313 Power 34^2 1027 1412766037 extend by one factor 1028 1544712761 extend by one factor 1029 1676659485 extend by one factor 1030 1808606209 extend by one factor 1056 1879047857 perfect hash family 1369 2003178646 linear hash family 1370 2137502654 extend by one factor 1425 2147483265 perfect hash family 1426 2281807273 extend by one factor 1428 2365587034 perfect hash family 1728 2415918673 perfect hash family 10000 2481587418 Power 31^3

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