Table for CAN(6,k,10) 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,10) 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 1000000 composition 8 1234567 Add a symbol 9 1371741 Add a symbol 10 1524156 Add a symbol 12 1771559 orthogonal array fuse 13 3082409 Add a factor 14 4393259 Add a factor 15 6508079 Add a factor 16 7066219 Martirosyan-Tran van Trung 18 7452112 Martirosyan-Tran van Trung 20 7787606 Martirosyan-Tran van Trung 22 8213599 double OA (Colbourn-Zhou) fuse 24 8327019 Martirosyan-Tran van Trung 25 10946019 Add a factor 26 14221209 Add a factor 28 16999938 Martirosyan-Tran van Trung 29 21267108 Add a factor 30 22479453 Martirosyan-Tran van Trung 32 23552195 Martirosyan-Tran van Trung 34 24343254 Martirosyan-Tran van Trung 36 24400432 Martirosyan-Tran van Trung 40 25174033 Martirosyan-Tran van Trung 42 26508890 Martirosyan-Tran van Trung 44 26771266 Martirosyan-Tran van Trung 46 27272077 Martirosyan-Tran van Trung 48 30275073 Martirosyan-Tran van Trung 49 35546463 Add a factor 50 39737592 Martirosyan-Tran van Trung 52 43676564 Martirosyan-Tran van Trung 55 46060508 perfect hash family26,55,12 56 46696828 perfect hash family16,65,13S2 59 47832066 perfect hash family27,59,12 60 48007678 perfect hash family16,65,13T1 65 49318528 perfect hash family16,65,13 66 54939838 Add a factor 68 56857503 Martirosyan-Tran van Trung 72 56921629 Martirosyan-Tran van Trung 74 61680278 Martirosyan-Tran van Trung 78 61795308 Martirosyan-Tran van Trung 80 61910338 Martirosyan-Tran van Trung 84 63629039 Martirosyan-Tran van Trung 88 63926659 Martirosyan-Tran van Trung 90 64471507 Martirosyan-Tran van Trung 92 64604707 Martirosyan-Tran van Trung 96 68246910 Martirosyan-Tran van Trung 97 74409750 Add a factor 98 75648600 Martirosyan-Tran van Trung 100 80629862 Martirosyan-Tran van Trung 101 86836352 Add a factor 112 89002848 Power CT16^2Arc(18):9 twos,0 ones 113 93232488 Power CT16^2Arc(18):7 twos,2 ones 114 93790628 Power CT16^2Arc(16):7 twos,1 ones 116 94348768 Power CT16^2Arc(14):7 twos,0 ones 118 95289027 Martirosyan-Tran van Trung 120 95464639 Martirosyan-Tran van Trung 124 97021728 Power CT16^2Arc(12):6 twos,0 ones 128 98383838 Power CT16^2TD(4):3,2,2,2,2 130 98917416 Martirosyan-Tran van Trung 136 99694688 Power CT16^2TD(4):2,2,2,2,2 142 101056798 Power CT16^2TD(4):3,2,2,2,0 144 101809508 Power CT16^2TD(4):2,2,2,2,1 152 102367648 Power CT16^2TD(4):2,2,2,2,0 160 103729758 Power CT16^2TD(2):2,2,3 162 104482468 Power CT16^2TD(4):2,2,2,1,0 172 105040608 Power CT16^2TD(2):2,2,2 182 106402718 Power CT16^2T3T2 184 107155428 Power CT16^2TD(2):1,2,2 196 107713568 Power CT16^2T2T2 208 109075678 Power CT16^2T3 210 109828388 Power CT16^2T2T1 224 110386528 Power CT16^2T2 225 111943208 Power CT16^2T1T1 240 112501348 Power CT16^2T1 256 113059488 Power CT16^2 272 118847883 Power CT17^2T1 290 119233776 Power CT17^2+1 291 123259704 Power CT19^2Arc(4) 307 123595198 Power CT19^2Arc(3) 324 123930692 Power CT19^2T1T1 342 124266186 Power CT19^2T1 362 124601680 Power CT19^2+1 364 131417568 Power CT19^2+3 367 131926622 Power CT23^2tTD:3,3,2 368 131971488 Power CT23^2T7 383 132040042 Power CT23^2Trin1,3,3 400 132153462 Power CT23^2T3T3 403 132352615 Power CT23^2Arc(3)T3 414 132357381 Power CT23^2T5 421 132466035 Power CT23^2Arc(2)T3 440 132579455 Power CT23^2T3T1 460 132692875 Power CT23^2T3 463 132892028 Power CT23^2Arc(3) 484 133005448 Power CT23^2T1T1 506 133118868 Power CT23^2T1 530 133232288 Power CT23^2+1 531 145899878 Add a factor 532 158567468 Add a factor 553 167279288 Power CT25^2Arc(3) 576 169898288 Power CT25^2T1T1 600 172517288 Power CT25^2T1 625 175136288 Power CT25^2 626 188889098 Add a factor 627 202641908 Add a factor 628 216394718 Add a factor 629 230147528 Add a factor 630 243900338 Add a factor 640 250636364 Martirosyan-Tran van Trung 648 250789571 Martirosyan-Tran van Trung 650 250972650 Martirosyan-Tran van Trung 660 251491022 Martirosyan-Tran van Trung 666 251999682 Martirosyan-Tran van Trung 668 252260622 Martirosyan-Tran van Trung 672 252267570 Martirosyan-Tran van Trung 676 253207422 Martirosyan-Tran van Trung 680 253269954 Martirosyan-Tran van Trung 684 253311642 Martirosyan-Tran van Trung 692 253501669 Martirosyan-Tran van Trung 704 253508617 Martirosyan-Tran van Trung 720 253575901 Martirosyan-Tran van Trung 724 254409064 Martirosyan-Tran van Trung 726 257266504 Martirosyan-Tran van Trung 728 257313064 Martirosyan-Tran van Trung 736 258262112 Martirosyan-Tran van Trung 746 258901319 Martirosyan-Tran van Trung 760 259014739 Martirosyan-Tran van Trung 768 259021687 Martirosyan-Tran van Trung 776 261272092 Martirosyan-Tran van Trung 778 261535600 Martirosyan-Tran van Trung 780 261649020 Martirosyan-Tran van Trung 784 261690708 Martirosyan-Tran van Trung 792 261697656 Martirosyan-Tran van Trung 796 263187931 Martirosyan-Tran van Trung 812 265263004 Martirosyan-Tran van Trung 816 265376424 Martirosyan-Tran van Trung 820 265495782 Martirosyan-Tran van Trung 836 265502730 Martirosyan-Tran van Trung 838 265530522 Martirosyan-Tran van Trung 848 271450173 Martirosyan-Tran van Trung 864 271563593 Martirosyan-Tran van Trung 876 275696562 Martirosyan-Tran van Trung 884 275974828 Martirosyan-Tran van Trung 886 275988724 Martirosyan-Tran van Trung 888 276102144 Martirosyan-Tran van Trung 900 276387358 Martirosyan-Tran van Trung 912 276586422 Martirosyan-Tran van Trung 926 276691884 Martirosyan-Tran van Trung 936 276805304 Martirosyan-Tran van Trung 956 277098134 Martirosyan-Tran van Trung 960 277377068 Martirosyan-Tran van Trung 968 277452425 Martirosyan-Tran van Trung 976 277742794 Martirosyan-Tran van Trung 1000 278357350 Martirosyan-Tran van Trung 1012 279127750 Martirosyan-Tran van Trung 1044 279248118 Martirosyan-Tran van Trung 1060 281372118 Martirosyan-Tran van Trung 1061 295757628 Add a factor 1062 296257164 Martirosyan-Tran van Trung 1064 308924754 Martirosyan-Tran van Trung 1084 317636574 Martirosyan-Tran van Trung 1088 320972574 Martirosyan-Tran van Trung 1096 320979522 Martirosyan-Tran van Trung 1100 321007314 Martirosyan-Tran van Trung 1104 322459314 Martirosyan-Tran van Trung 1106 323049885 Martirosyan-Tran van Trung 1120 325668885 Martirosyan-Tran van Trung 1144 325682781 Martirosyan-Tran van Trung 1152 329226573 Martirosyan-Tran van Trung 1168 335262387 Martirosyan-Tran van Trung 1176 335269335 Martirosyan-Tran van Trung 1184 335555677 Martirosyan-Tran van Trung 1196 335569573 Martirosyan-Tran van Trung 1200 335590417 Martirosyan-Tran van Trung 1204 343667007 Martirosyan-Tran van Trung 1208 347363007 Martirosyan-Tran van Trung 1210 347674083 Martirosyan-Tran van Trung 1232 348124063 Martirosyan-Tran van Trung 1248 348135385 Martirosyan-Tran van Trung 1250 348394531 Martirosyan-Tran van Trung 1255 355106162 Power N-CT41^2Arc(12) 1285 356441019 Power N-CT41^2Arc(11) 1316 357775876 Power N-CT41^2Arc(10) 1348 359110733 Power N-CT41^2Arc(9) 1381 360445590 Power N-CT41^2Arc(8) 1415 361780447 Power N-CT41^2Arc(7) 1450 363115304 Power N-CT41^2Arc(6) 1486 364450161 Power N-CT41^2Arc(5) 1523 365785018 Power N-CT41^2Arc(4) 1561 367119875 Power N-CT41^2Arc(3) 1600 368454732 Power N-CT41^2T1T1 1640 369789589 Power N-CT41^2T1 1682 371124446 Power N-CT41^2+1 1720 373200477 Power N-CT43^2T3 1723 374010582 Power N-CT43^2Arc(3) 1764 374272958 Power N-CT43^2T1T1 1806 374535334 Power N-CT43^2T1 1850 374797710 Power N-CT43^2+1 1852 381809064 Power N-CT43^2+3 1853 399817254 Add a factor 1861 399827040 Power N-CT47^2Arc(8) 1901 402830036 Power N-CT47^2Arc(7) 1942 405833032 Power N-CT47^2Arc(6) 1984 408836028 Power N-CT47^2Arc(5) 2027 411839024 Power N-CT47^2Arc(4) 2071 414842020 Power N-CT47^2Arc(3) 2116 417845016 Power N-CT47^2T1T1 2162 420848012 Power N-CT47^2T1 2210 423851008 Power N-CT47^2+1 2211 443763238 Add a factor 2212 463675468 Add a factor 2213 483587698 Add a factor 2214 503499928 Add a factor 2215 523412158 Add a factor 2240 528506628 Martirosyan-Tran van Trung 2288 528534420 Martirosyan-Tran van Trung 2304 532106004 Martirosyan-Tran van Trung 2336 541558632 Martirosyan-Tran van Trung 2352 541572528 Martirosyan-Tran van Trung 2368 541865818 Martirosyan-Tran van Trung 2376 541893610 Martirosyan-Tran van Trung 2392 542213288 Martirosyan-Tran van Trung 2400 542254976 Martirosyan-Tran van Trung 2408 551155903 Martirosyan-Tran van Trung 2416 554851903 Martirosyan-Tran van Trung 2420 555176875 Martirosyan-Tran van Trung 2464 556838400 Martirosyan-Tran van Trung 2496 556861044 Martirosyan-Tran van Trung 2500 557379336 Martirosyan-Tran van Trung 2510 567059803 Martirosyan-Tran van Trung 2560 568147257 Martirosyan-Tran van Trung 2570 568300464 Martirosyan-Tran van Trung 2600 569387918 Martirosyan-Tran van Trung 2632 569401814 Martirosyan-Tran van Trung 2640 570489268 Martirosyan-Tran van Trung 2662 570584362 Martirosyan-Tran van Trung 2664 574356306 Martirosyan-Tran van Trung 2672 574363254 Martirosyan-Tran van Trung 2688 574370202 Martirosyan-Tran van Trung 2696 575310054 Martirosyan-Tran van Trung 2704 576397508 Martirosyan-Tran van Trung 2720 576460040 Martirosyan-Tran van Trung 2736 576501728 Martirosyan-Tran van Trung 2762 576508676 Martirosyan-Tran van Trung 2768 577596130 Martirosyan-Tran van Trung 2816 577603078 Martirosyan-Tran van Trung 2830 577670362 Martirosyan-Tran van Trung 2880 578757816 Martirosyan-Tran van Trung 2900 579183633 Martirosyan-Tran van Trung 2904 580271087 Martirosyan-Tran van Trung 2912 585859308 Martirosyan-Tran van Trung 2928 585900996 Martirosyan-Tran van Trung 2944 585904166 Martirosyan-Tran van Trung 2972 586543373 Martirosyan-Tran van Trung 3024 587630827 Martirosyan-Tran van Trung 3040 588252147 Martirosyan-Tran van Trung 3046 588259095 Martirosyan-Tran van Trung 3072 589346549 Martirosyan-Tran van Trung 3104 591596954 Martirosyan-Tran van Trung 3120 591603902 Martirosyan-Tran van Trung 3122 591645590 Martirosyan-Tran van Trung 3128 592733044 Martirosyan-Tran van Trung 3136 592739992 Martirosyan-Tran van Trung 3168 592746940 Martirosyan-Tran van Trung 3200 597561694 Martirosyan-Tran van Trung 3216 598649148 Martirosyan-Tran van Trung 3228 598967416 Martirosyan-Tran van Trung 3264 598974364 Martirosyan-Tran van Trung 3280 599093722 Martirosyan-Tran van Trung 3312 600188124 Martirosyan-Tran van Trung 3344 600349160 Martirosyan-Tran van Trung 3360 600376952 Martirosyan-Tran van Trung 3364 600867668 Martirosyan-Tran van Trung 3432 603191102 Martirosyan-Tran van Trung 3440 603548964 Martirosyan-Tran van Trung 3446 604111666 Martirosyan-Tran van Trung 3450 604374042 Martirosyan-Tran van Trung 3456 604724956 Martirosyan-Tran van Trung 3464 618856921 Martirosyan-Tran van Trung 3504 618863869 Martirosyan-Tran van Trung 3528 628831614 Martirosyan-Tran van Trung 3536 629093990 Martirosyan-Tran van Trung 3552 629107886 Martirosyan-Tran van Trung 3576 629128730 Martirosyan-Tran van Trung 3586 629135678 Martirosyan-Tran van Trung 3600 629471266 Martirosyan-Tran van Trung 3612 629498320 Martirosyan-Tran van Trung 3648 629760696 Martirosyan-Tran van Trung 3658 629866158 Martirosyan-Tran van Trung 3696 630266340 Martirosyan-Tran van Trung 3700 630444397 Martirosyan-Tran van Trung 3704 637455751 Martirosyan-Tran van Trung 3706 655463941 Martirosyan-Tran van Trung 3722 655473727 Martirosyan-Tran van Trung 3744 658476723 Martirosyan-Tran van Trung 3774 660740491 Martirosyan-Tran van Trung 3792 661147617 Martirosyan-Tran van Trung 3802 661500717 Martirosyan-Tran van Trung 3824 664503713 Martirosyan-Tran van Trung 3840 664510661 Martirosyan-Tran van Trung 3872 665402470 Martirosyan-Tran van Trung 3874 665579419 Martirosyan-Tran van Trung 3884 667212323 Martirosyan-Tran van Trung 3888 670215319 Martirosyan-Tran van Trung 3904 672092299 Martirosyan-Tran van Trung 3956 672706855 Martirosyan-Tran van Trung 3968 672713803 Martirosyan-Tran van Trung 4056 673953266 Power CT31^3T18T18T7 4368 675264116 Power CT31^3T18T17T7 4704 676574966 Power CT31^3T17T17T7 4800 676808200 Power CT31^3T19T11T11 5184 677012119 Power CT31^3T19T13T7 5280 677234193 Power CT31^3T19T11T9 5760 677347613 Power CT31^3T19T11T7 5808 677660186 Power CT31^3T19T9T9 6336 677773606 Power CT31^3T19T9T7 6912 677887026 Power CT31^3T19T7T7 7488 679197876 Power CT31^3T18T7T7 8064 680508726 Power CT31^3T17T7T7 8640 682623546 Power CT31^3T16T7T7 9216 683181686 Power CT31^3T15T7T7 9600 683363660 Power CT31^3T11T11T7 10000 683567579 Power CT31^3T13T7T7

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