Table for CAN(6,k,11) 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,11) 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 12 1771561 orthogonal array 13 3367430 extended OA (Colbourn) 14 4826805 orthogonal array fuse fuse 15 7086240 perfect hash family4,15,12 22 8213601 double OA (Colbourn-Zhou) 24 8373321 double OA (Colbourn-Zhou) 25 11593131 Add a factor 26 16263841 Add a factor 28 21665309 Martirosyan-Tran van Trung 29 24801840 perfect hash family14,29,12 33 26573400 perfect hash family15,33,12 36 28344960 perfect hash family16,36,12 38 29256788 Martirosyan-Tran van Trung 40 29725124 Martirosyan-Tran van Trung 44 30076376 Martirosyan-Tran van Trung 46 30704432 Martirosyan-Tran van Trung 48 36235198 Martirosyan-Tran van Trung 49 40745880 perfect hash family23,49,12 50 42517440 perfect hash family24,50,12 52 44289000 perfect hash family25,52,12 55 46060560 perfect hash family26,55,12 59 47832120 perfect hash family27,59,12 60 52282995 perfect hash family16,65,13T1 65 53878864 perfect hash family16,65,13 66 61478874 Add a factor 67 69078884 Add a factor 68 72528429 Martirosyan-Tran van Trung 70 72582549 Martirosyan-Tran van Trung 72 72831633 Martirosyan-Tran van Trung 76 76903321 Martirosyan-Tran van Trung 80 77443817 Martirosyan-Tran van Trung 88 77849189 Martirosyan-Tran van Trung 92 78549405 Martirosyan-Tran van Trung 96 85426231 Martirosyan-Tran van Trung 98 92853013 Martirosyan-Tran van Trung 100 95965593 Martirosyan-Tran van Trung 112 100936436 Power CT16^2Arc(18):9 twos,0 ones 113 105455306 Power CT16^2Arc(18):7 twos,2 ones 114 106582667 Power CT16^2Arc(16):7 twos,1 ones 116 107710028 Power CT16^2Arc(14):7 twos,0 ones 117 108842102 Power CT16^2Arc(16):6 twos,2 ones 120 109969463 Power CT16^2Arc(14):6 twos,1 ones 124 111096824 Power CT16^2Arc(12):6 twos,0 ones 125 112228898 Power CT16^2Arc(14):5 twos,2 ones 128 113024245 Power CT16^2TD(4):3,2,2,2,2 130 113356259 Power CT16^2Arc(12):5 twos,1 ones 136 114483620 Power CT16^2TD(4):2,2,2,2,2 137 115615694 Power CT16^2Arc(12):4 twos,2 ones 142 116411041 Power CT16^2TD(4):3,2,2,2,0 144 116743055 Power CT16^2TD(4):2,2,2,2,1 152 117870416 Power CT16^2TD(4):2,2,2,2,0 153 119002490 Power CT16^2TD(4):2,2,2,1,1 160 119797837 Power CT16^2TD(2):2,2,3 162 120129851 Power CT16^2TD(4):2,2,2,1,0 172 121257212 Power CT16^2TD(2):2,2,2 173 122389286 Power CT16^2TD(4):2,2,1,1,0 182 123184633 Power CT16^2T3T2 184 123516647 Power CT16^2TD(2):1,2,2 196 124644008 Power CT16^2T2T2 228 124975560 Power CT19^2T7 247 126571429 Power CT19^2T6 253 127051920 Power CT23^2Arc(2)T11 264 127211640 Power CT23^2T11T1 276 127371360 Power CT23^2T11 286 128807509 Power CT23^2T10T1 299 128967229 Power CT23^2T10 308 130266884 Power CT23^2T9T1 322 130426604 Power CT23^2T9 364 131417600 Power CT19^2+3 373 132695360 Power CT23^2Arc(8) 389 132855080 Power CT23^2Arc(7) 406 133014800 Power CT23^2Arc(6) 424 133174520 Power CT23^2Arc(5) 443 133334240 Power CT23^2Arc(4) 463 133493960 Power CT23^2Arc(3) 484 133653680 Power CT23^2T1T1 506 133813400 Power CT23^2T1 530 133973120 Power CT23^2+1 531 150345630 Add a factor 532 166718140 Add a factor 553 175830650 Power CT25^2Arc(3) 576 179050460 Power CT25^2T1T1 600 182270270 Power CT25^2T1 625 185490080 Power CT25^2 626 203072590 Add a factor 627 220655100 Add a factor 628 238237610 Add a factor 629 255820120 Add a factor 630 273402630 Add a factor 632 278432154 Martirosyan-Tran van Trung 644 279252600 Martirosyan-Tran van Trung 648 280243596 Martirosyan-Tran van Trung 660 280517078 Martirosyan-Tran van Trung 672 280638078 Martirosyan-Tran van Trung 684 281239162 Martirosyan-Tran van Trung 696 281248182 Martirosyan-Tran van Trung 704 281521664 Martirosyan-Tran van Trung 708 281642664 Martirosyan-Tran van Trung 720 281651684 Martirosyan-Tran van Trung 726 281934186 Martirosyan-Tran van Trung 728 285482346 Martirosyan-Tran van Trung 746 286760106 Martirosyan-Tran van Trung 748 286919826 Martirosyan-Tran van Trung 750 287040826 Martirosyan-Tran van Trung 764 287324868 Martirosyan-Tran van Trung 768 287333888 Martirosyan-Tran van Trung 774 287415068 Martirosyan-Tran van Trung 778 287699110 Martirosyan-Tran van Trung 792 287858830 Martirosyan-Tran van Trung 796 292887832 Martirosyan-Tran van Trung 812 294963829 Martirosyan-Tran van Trung 824 295177669 Martirosyan-Tran van Trung 832 295475351 Martirosyan-Tran van Trung 836 295773033 Martirosyan-Tran van Trung 838 295894033 Martirosyan-Tran van Trung 840 308511913 Martirosyan-Tran van Trung 844 312732393 Martirosyan-Tran van Trung 848 312741413 Martirosyan-Tran van Trung 880 312901133 Martirosyan-Tran van Trung 886 313022133 Martirosyan-Tran van Trung 888 313181853 Martirosyan-Tran van Trung 896 313190873 Martirosyan-Tran van Trung 900 313226953 Martirosyan-Tran van Trung 912 313235973 Martirosyan-Tran van Trung 926 313254013 Martirosyan-Tran van Trung 928 313413733 Martirosyan-Tran van Trung 944 313422753 Martirosyan-Tran van Trung 968 313467853 Martirosyan-Tran van Trung 976 314112563 Martirosyan-Tran van Trung 1012 315064403 Martirosyan-Tran van Trung 1060 315224123 Martirosyan-Tran van Trung 1061 332806633 Add a factor 1062 338384733 Martirosyan-Tran van Trung 1063 355967243 Add a factor 1064 357282133 Martirosyan-Tran van Trung 1080 366394643 Martirosyan-Tran van Trung 1088 366421703 Martirosyan-Tran van Trung 1100 366475823 Martirosyan-Tran van Trung 1104 376882186 Martirosyan-Tran van Trung 1106 378201186 Martirosyan-Tran van Trung 1120 381420996 Martirosyan-Tran van Trung 1144 381439036 Martirosyan-Tran van Trung 1152 381520216 Martirosyan-Tran van Trung 1168 387244686 Martirosyan-Tran van Trung 1172 387289786 Martirosyan-Tran van Trung 1184 387298806 Martirosyan-Tran van Trung 1200 387307826 Martirosyan-Tran van Trung 1204 401699316 Martirosyan-Tran van Trung 1216 402409473 Martirosyan-Tran van Trung 1220 402477673 Martirosyan-Tran van Trung 1232 402486693 Martirosyan-Tran van Trung 1236 403120273 Martirosyan-Tran van Trung 1240 403129293 Martirosyan-Tran van Trung 1250 403138313 Martirosyan-Tran van Trung 1257 416512518 Power N-CT41^2Arc(3)T8 1288 416863770 Power N-CT41^2Arc(2)T8 1320 417215022 Power N-CT41^2T8T1 1419 417566274 Power N-CT43^2T10 1450 418961738 Power N-CT41^2Arc(6) 1486 419312990 Power N-CT41^2Arc(5) 1548 419337834 Power N-CT43^2T7 1561 420015494 Power N-CT41^2Arc(3) 1634 420249662 Power N-CT43^2T5 1720 420717998 Power N-CT43^2T3 1850 421069250 Power N-CT43^2+1 1852 429862034 Power N-CT43^2+3 1853 453247264 Add a factor 1861 463046630 Power N-CT47^2Arc(8) 1901 468577396 Power N-CT47^2Arc(7) 1942 474108162 Power N-CT47^2Arc(6) 1984 479638928 Power N-CT47^2Arc(5) 2027 485169694 Power N-CT47^2Arc(4) 2071 490700460 Power N-CT47^2Arc(3) 2116 496231226 Power N-CT47^2T1T1 2162 501761992 Power N-CT47^2T1 2210 507292758 Power N-CT47^2+1 2211 531955528 Add a factor 2212 556618298 Add a factor 2213 581281068 Add a factor 2214 605943838 Add a factor 2240 614733289 Martirosyan-Tran van Trung 2288 614769369 Martirosyan-Tran van Trung 2304 614931729 Martirosyan-Tran van Trung 2336 623160859 Martirosyan-Tran van Trung 2344 623251059 Martirosyan-Tran van Trung 2368 623269099 Martirosyan-Tran van Trung 2400 623287139 Martirosyan-Tran van Trung 2438 629491698 Power N-CT53^2T7 2449 631479344 Power N-CT53^2Arc(2)T5 2459 632446906 Power N-CT53^2Arc(7) 2496 633250904 Power N-CT53^2T5T1 2506 634218466 Power N-CT53^2Arc(6) 2544 635022464 Power N-CT53^2T5 2554 635990026 Power N-CT53^2Arc(5) 2603 637761586 Power N-CT53^2Arc(4) 2653 639533146 Power N-CT53^2Arc(3) 2704 641304706 Power N-CT53^2T1T1 2756 643076266 Power N-CT53^2T1 2811 644847826 Power N-CT53^2+2 2832 658052744 Power N-CT59^2T11 2838 662003687 Martirosyan-Tran van Trung 2891 662563426 Power N-CT59^2T10 2900 663759555 Martirosyan-Tran van Trung 2904 664110807 Martirosyan-Tran van Trung 2950 664334986 Power N-CT59^2T9 3068 666106546 Power N-CT59^2T7 3245 667878106 Power N-CT59^2T4 3481 669649666 Power N-CT59^2 3482 698291576 Add a factor 3504 717568868 Martirosyan-Tran van Trung 3520 717601696 Martirosyan-Tran van Trung 3552 717722696 Martirosyan-Tran van Trung 3584 717731716 Martirosyan-Tran van Trung 3600 717767796 Martirosyan-Tran van Trung 3630 717776816 Martirosyan-Tran van Trung 3648 719528896 Martirosyan-Tran van Trung 3696 719546936 Martirosyan-Tran van Trung 3700 724362170 Martirosyan-Tran van Trung 3704 733154954 Martirosyan-Tran van Trung 3724 754304082 Power N-CT61^2+3 3744 757567481 Power CT31^3T19T18T7 4032 759026856 Power CT31^3T19T17T7 4056 759163350 Power CT31^3T18T18T7 4368 760622725 Power CT31^3T18T17T7 4704 762082100 Power CT31^3T17T17T7 5808 762253932 Power CT31^3T19T9T9 6336 762413652 Power CT31^3T19T9T7 6912 762573372 Power CT31^3T19T7T7 7488 764169241 Power CT31^3T18T7T7 8064 765628616 Power CT31^3T17T7T7 8640 767888051 Power CT31^3T16T7T7 10000 768695972 Power CT31^3T10T9T9

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