Table for CAN(6,k,17) for k up to 10000

Last Updated Tue Jan 31 05:20:10 MST 2012

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,17) 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 18 24137569 orthogonal array 19 46771760 extended OA (Colbourn) 20 47045877 orthogonal array fuse fuse 21 82492101 Add a factor 23 96550225 perfect hash family4,23,17,c 24 96550272 perfect hash family4,24,18 34 115008417 double OA (Colbourn-Zhou) 36 116423361 double OA (Colbourn-Zhou) 37 170741489 Add a factor 39 217238112 perfect hash family9,39,18 40 224551414 Martirosyan-Tran van Trung 42 241375680 perfect hash family10,42,18 44 265513089 perfect hash family11,44,17,c 48 265513248 perfect hash family11,48,18 50 289650641 perfect hash family12,50,17,c 54 289650816 perfect hash family12,54,18 60 313788384 perfect hash family13,60,18 85 362063297 perfect hash family15,85,17,c 86 362063520 perfect hash family15,86,18 289 386200849 perfect hash family16,289,17,c 290 386201088 Power CT17^2+1 291 495702032 Add a factor 292 622811168 Add a factor 294 675851904 perfect hash family28,294,18 307 680445571 Power CT19^2Arc(3) 324 703079762 Power CT19^2T1T1 342 725713953 Power CT19^2T1 361 748348144 Power CT19^2 362 752734016 Power CT19^2+1 513 772401681 perfect hash family32,513,17,c 514 772402176 perfect hash family32,514,18 515 952493104 Add a factor 516 1086189857 perfect hash family45,516,17,c 518 1086190560 perfect hash family45,518,18 519 1266281488 Add a factor 578 1288318276 Martirosyan-Tran van Trung 580 1360954851 Martirosyan-Tran van Trung 582 1532084467 Martirosyan-Tran van Trung 589 1656889583 Power N-CT31^2T12 620 1657163700 Power N-CT31^2T11 651 1692609924 Power N-CT31^2T10 713 1706668048 Power N-CT31^2T8 744 1706668095 Power N-CT31^2T7 964 1725126240 Power N-CT31^2+3 1026 1840134656 Power CT32^2+2 1028 1862773760 Power CT32^2 +4 1044 2017941040 Power N-CT37^2Arc(10) 1072 2072259168 Power N-CT37^2Arc(9) 1101 2126577296 Power N-CT37^2Arc(8) 1131 2180895424 Power N-CT37^2Arc(7) 1162 2235213552 Power N-CT37^2Arc(6) 1194 2289531680 Power N-CT37^2Arc(5) 1227 2343849808 Power N-CT37^2Arc(4) 1261 2398167936 Power N-CT37^2Arc(3) 1296 2452486064 Power N-CT37^2T1T1 1332 2506804192 Power N-CT37^2T1 1369 2561122320 Power N-CT37^2 1370 2817777440 Add a factor 1371 3074432560 Add a factor 1425 3089606673 perfect hash family128,1425,17,c 1450 3089608704 perfect hash family128,1450,18 1476 3254307187 Power N-CT41^2T5 1480 3291801049 Power N-CT41^2T4T1 5832 3292648352 Power CT31^3T13T13T13 6156 3315282543 Power CT31^3T13T13T12 6480 3315556660 Power CT31^3T13T13T11 6498 3337916734 Power CT31^3T13T12T12 6840 3338190851 Power CT31^3T13T12T11 7200 3338464968 Power CT31^3T13T11T11 7220 3360825042 Power CT31^3T12T12T11 7600 3361099159 Power CT31^3T12T11T11 8000 3361373276 Power CT31^3T11T11T11 10000 3383519200 Power CT31^3T13T13

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