Table for CAN(6,k,22) 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,22) 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 113379904 composition 24 148035887 orthogonal array fuse 26 244140619 orthogonal array fuse fuse fuse 28 387420479 orthogonal array fuse fuse fuse fuse fuse 31 592143485 perfect hash family4,31,23,c fuse 32 688248276 perfect hash family4,35,25S3 46 714434071 double OA (Colbourn-Zhou) fuse 48 720858247 double OA (Colbourn-Zhou) fuse 49 1017312097 Add a factor 50 1102986371 Martirosyan-Tran van Trung 52 1166266649 Martirosyan-Tran van Trung 54 1480358681 perfect hash family10,54,23,c fuse 55 1480358860 perfect hash family10,55,24 63 1628394547 perfect hash family11,63,23,c fuse 64 1628394746 perfect hash family11,64,24 67 1776430413 perfect hash family12,67,23,c fuse 68 1776430632 perfect hash family12,68,24 69 1924466518 perfect hash family13,69,24 72 2072502404 perfect hash family14,72,24 115 2220538011 perfect hash family15,115,23,c fuse 161 2333918193 Power CT23^2T16 529 2368573877 perfect hash family16,529,23,c fuse 530 2368574176 Power CT23^2+1 531 2997898102 Add a factor 553 3617935692 Power CT25^2Arc(3) 576 3714040424 Power CT25^2T1T1 600 3810145156 Power CT25^2T1 625 3906249619 perfect hash family16,625,25,c fuse fuse fuse 626 3906249888 Power CT25^2+1 627 4786645866 Add a factor 628 5726307204 Add a factor 651 5768888068 Power CT27^2Arc(3) 676 5912167928 Power CT27^2T1T1 702 6055447788 Power CT27^2T1 730 6198727648 Power CT27^2+1 731 7231797070 Add a factor 735 7253757455 perfect hash family49,735,23,c fuse 744 7697865053 perfect hash family52,744,23,c fuse 1008 7725134872 Martirosyan-Tran van Trung 1058 7727859218 Martirosyan-Tran van Trung 1060 8245052237 Martirosyan-Tran van Trung 1062 9218224745 Martirosyan-Tran van Trung 1081 9506344732 Power N-CT47^2Arc(2)T23 1104 9512768908 Power N-CT47^2T23T1 1128 9519193084 Power N-CT47^2T23 1147 9596025288 Power N-CT47^2Arc(3)T21 1171 9602449464 Power N-CT47^2Arc(2)T21 1196 9608873640 Power N-CT47^2T21T1 1222 9615297816 Power N-CT47^2T21 1235 9739305148 Power N-CT47^2Arc(3)T19 1261 9745729324 Power N-CT47^2Arc(2)T19 1288 9752153500 Power N-CT47^2T19T1 1316 9758577676 Power N-CT47^2T19 1333 9879786394 Power N-CT43^2T12 1339 9937603978 Power N-CT47^2Arc(4)T16 1367 9944028154 Power N-CT47^2Arc(3)T16 1396 9950452330 Power N-CT47^2Arc(2)T16 1426 9956876506 Power N-CT47^2T16T1 1457 9963300682 Power N-CT47^2T16 1852 10002076980 Power N-CT43^2+3 1861 10040622036 Power N-CT47^2Arc(8) 1901 10047046212 Power N-CT47^2Arc(7) 1942 10053470388 Power N-CT47^2Arc(6) 1984 10059894564 Power N-CT47^2Arc(5) 2027 10066318740 Power N-CT47^2Arc(4) 2071 10072742916 Power N-CT47^2Arc(3) 2116 10079167092 Power N-CT47^2T1T1 2162 10085591268 Power N-CT47^2T1 2210 10092015444 Power N-CT47^2+1 2211 11546454276 Add a factor 2212 13000893108 Add a factor 2213 14455331940 Add a factor 2257 15387631986 Power CT49^2Arc(3) 2304 15684085836 Power CT49^2T1T1 2352 15980539686 Power CT49^2T1 2401 16276993536 Power CT49^2 4032 16989469227 Power CT31^3T24T7T7 10000 17024125210 Power CT31^3T13T7T7

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