Table for CAN(5,k,10) for k up to 10000

Last Updated Sun May 8 14:02:10 MST 2016

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;5,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 6 100000 Derive from strength 6 7 120000 Ji-Li-Yin 8 132547 Add a symbol postop NCK 9 144071 Add a symbol postop NCK 10 153884 orthogonal array fuse postop NCK 11 157819 orthogonal array fuse postop NCK 12 159639 orthogonal array fuse postop NCK 13 265415 extended OA (Colbourn) special fuse postop NCK 14 301504 orthogonal array fuse fuse fuse postop NCK 15 468724 Add 1 factors 16 478914 perfect hash family3,16,12 18 549503 Martirosyan-TVT 19 561872 Martirosyan-TVT variant 20 564302 Martirosyan-TVT 21 578492 Martirosyan-TVT variant 22 587424 Martirosyan-TVT 23 591253 Martirosyan-TVT variant 24 594663 Martirosyan-TVT 25 805893 Add 1 factors 26 921413 Martirosyan-TVT 27 965665 Martirosyan-TVT variant 28 995295 Martirosyan-TVT 29 1211967 Add 5 factors 30 1270382 Add 11 factors 32 1277104 perfect hash family8,32,12 36 1296630 Power N-CT9^2Tlev 37 1341441 Power CZ2-9.2-8.8 38 1351923 Power CZ2-9.4-8.5-7.1 39 1352240 Power CZ2-9.6-8.3-6.1 40 1362420 Power CZ2-9.6-8.2-7.2 42 1362730 Power CZ2-9.8-6.1-7.1 43 1363768 Power CZ2-9.7-8.2-6.1 44 1373948 Power CZ2-9.7-8.1-7.2 45 1374961 Power CZ2-9.9-5.1 48 1375296 Power CZ2-9.8-6.1-8.1 49 1385515 Power CZ2-9.8-7.1-7.1 50 1386499 Power CZ2-9.7-8.2-7.1 54 1386961 Power CZ2-9.9-6.1 56 1398027 Power CZ2-9.8-7.1-8.1 57 1399065 Power CZ2-9.7-8.3 63 1409594 Power CZ2-9.9-7.1 64 1410593 Power CZ2-9.8-8.1-8.1 72 1422160 Power CZ2-9.9-8.1 81 1433825 Power CZ2-9.10 82 1535931 Power CZ2-10.10 83 1576655 Power CZ2-11.10 84 1596028 Power CZ2-12.10 88 1639018 Power CZ2-11.10-8.1 90 1647977 Power CZ2-11.9-9.1-10.1 99 1652896 Power CZ2-11.10-9.1 100 1663533 Power CZ2-11.9-10.1-10.1 110 1668452 Power CZ2-11.10-10.1 121 1692773 Power CZ2-11.11 122 1741731 Power CZ2-12.11 123 1981041 Add 1 factors 124 2175441 Add 2 factors 125 2352835 Add 4 factors 126 2389172 Add 5 factors 127 2438130 Add 5 factors 133 2508181 Power CZ2-13.8-12.3 144 2613957 Power CZ2-13.9-12.1-12.1 156 2719733 Power CZ2-13.10-12.1 169 2825509 Power CZ2-13.11 170 3150409 Add 1 factors 176 3280246 Martirosyan-Colbourn 180 3292985 Martirosyan-Colbourn 192 3297904 Martirosyan-Colbourn 198 3303313 Martirosyan-Colbourn 200 3313950 Martirosyan-Colbourn 204 3318869 Martirosyan-Colbourn 216 3437258 Martirosyan-TVT 220 3438941 Martirosyan-TVT 242 3463262 Martirosyan-TVT 243 3529482 Martirosyan-TVT variant 244 3534800 Martirosyan-TVT 246 3774110 Martirosyan-TVT 248 3968510 Martirosyan-TVT 250 4145904 Martirosyan-TVT 252 4182241 Martirosyan-TVT 254 4231199 Martirosyan-TVT 264 4301250 Martirosyan-TVT 266 4311951 Martirosyan-TVT 267 4613027 Martirosyan-TVT variant 268 4808327 Martirosyan-TVT 269 4819394 Martirosyan-TVT variant 288 4830461 Martirosyan-TVT 289 5082280 Martirosyan-TVT variant 309 5096720 Martirosyan-TVT variant 312 5103940 Martirosyan-TVT 335 5228994 Martirosyan-TVT variant 336 5236214 Martirosyan-TVT 338 5313632 Martirosyan-TVT 342 5606341 Power N-CT19^2T1 361 5618710 Power N-CT19^2 362 5643010 Power N-CT19^2+1 363 5784910 Power N-CT19^2+2 368 5800181 Power N-CT23^2T7 383 5854789 Power N-CT23^2Trin1,3,3 400 5858618 Power N-CT23^2T3T3 402 5868979 Power N-CT23^2Trin1,2,3 414 5870770 Power N-CT23^2T5 420 5872808 Power N-CT23^2T3T2 421 5877911 Power N-CT23^2Arc(2)T3 440 5881740 Power N-CT23^2T3T1 460 5885569 Power N-CT23^2T3 462 5895930 Power N-CT23^2T2T1 483 5899759 Power N-CT23^2T2 484 5904862 Power N-CT23^2T1T1 506 5908691 Power N-CT23^2T1 529 5912520 Power N-CT23^2 530 5946620 Power N-CT23^2+1 531 6433520 Add 1 factors 532 6703520 Add 2 factors 533 6913790 Add 4 factors 534 6947890 Add 4 factors 535 6996680 Add 5 factors 540 7150130 Add 11 factors 541 7184230 Add 11 factors 542 7671130 Add 11 factors 549 7783797 Martirosyan-TVT variant 552 7812677 Martirosyan-TVT 573 7878044 Martirosyan-TVT variant 576 7906924 Martirosyan-TVT 577 8212779 Martirosyan-TVT variant 578 8219999 Martirosyan-TVT 599 8234439 Martirosyan-TVT variant 605 8256099 Martirosyan-TVT variant 618 8263319 Martirosyan-TVT 624 8270539 Martirosyan-TVT 625 8395593 Martirosyan-TVT variant 648 8398492 Martirosyan-Colbourn 670 8401057 Martirosyan-Colbourn 672 8408277 Martirosyan-Colbourn 676 8485695 Martirosyan-Colbourn 684 8778404 Martirosyan-Colbourn 720 8790773 Martirosyan-Colbourn 722 8792330 Martirosyan-Colbourn 724 8816630 Martirosyan-Colbourn 726 8958530 Martirosyan-Colbourn 732 9019477 Martirosyan-Colbourn 736 9027457 Martirosyan-Colbourn 766 9028409 Martirosyan-Colbourn 800 9032238 Martirosyan-Colbourn 804 9042599 Martirosyan-Colbourn 814 9044390 Martirosyan-Colbourn 828 9079184 Martirosyan-Colbourn 840 9081222 Martirosyan-Colbourn 842 9087117 Martirosyan-Colbourn 864 9090946 Martirosyan-Colbourn 880 9096706 Martirosyan-Colbourn 888 9100535 Martirosyan-Colbourn 920 9132359 Martirosyan-Colbourn 924 9142720 Martirosyan-Colbourn 966 9195788 Martirosyan-Colbourn 968 9200891 Martirosyan-Colbourn 1012 9204720 Martirosyan-Colbourn 1058 9208549 Martirosyan-Colbourn 1060 9242649 Martirosyan-Colbourn 1062 9729549 Martirosyan-Colbourn 1064 9999549 Martirosyan-Colbourn 1066 10209819 Martirosyan-Colbourn 1068 10243919 Martirosyan-Colbourn 1070 10292709 Martirosyan-Colbourn 1078 10446159 Martirosyan-Colbourn 1080 10455510 Martirosyan-Colbourn 1082 10489610 Martirosyan-Colbourn 1110 10530353 perfect hash family66,1332,12T2 1120 10532468 perfect hash family66,1332,12S2 1221 10534288 perfect hash family66,1332,12T1 1332 10536108 perfect hash family66,1332,12 1333 11089518 Add 1 factors 1440 11115695 Power CT23^3T13T11T11 1452 11117810 Power CT23^3T12T12T11 1584 11119630 Power CT23^3T12T11T11 1728 11121450 Power CT23^3T11T11T11 1872 11227226 Power CT23^3T11T11T10 2016 11263315 Power CT23^3T11T11T9 2028 11333002 Power CT23^3T11T10T10 2184 11369091 Power CT23^3T11T10T9 2352 11405180 Power CT23^3T11T9T9 2366 11474867 Power CT23^3T10T10T9 2376 11509494 Power CT23^3T12T11T5 2548 11510956 Power CT23^3T10T9T9 2592 11511314 Power CT23^3T11T11T5 2736 11523683 Power CT23^3T11T11T4 2880 11526113 Power CT23^3T11T11T3 3024 11540303 Power CT23^3T11T11T2 3168 11549235 Power CT23^3T11T11T1 3312 11553064 Power CT23^3T11T11 3432 11655011 Power CT23^3T11T10T1 3588 11658840 Power CT23^3T11T10 3696 11691100 Power CT23^3T11T9T1 3864 11694929 Power CT23^3T11T9 3887 11764616 Power CT23^3T10T10 4004 11796876 Power CT23^3T10T9T1 4186 11800705 Power CT23^3T10T9 4312 11832965 Power CT23^3T9T9T1 4508 11836794 Power CT23^3T9T9 4560 11928346 Power CT23^3T11T4T3 4800 11930776 Power CT23^3T11T3T3 4968 11942928 Power CT23^3T11T5 5040 11944966 Power CT23^3T11T3T2 5280 11953898 Power CT23^3T11T3T1 5520 11957727 Power CT23^3T11T3 5544 11968088 Power CT23^3T11T2T1 5796 11971917 Power CT23^3T11T2 5808 11977020 Power CT23^3T11T1T1 6072 11980849 Power CT23^3T11T1 6348 11984678 Power CT23^3T11 6578 12086625 Power CT23^3T10T1 6877 12090454 Power CT23^3T10 7084 12122714 Power CT23^3T9T1 7406 12126543 Power CT23^3T9 7590 12289934 Power CT23^3T8T1 7728 12291192 Power CT23^3T7T2 7935 12293763 Power CT23^3T8 8096 12300124 Power CT23^3T7T1 8464 12303953 Power CT23^3T7 8800 12358561 Power CT23^3T3T3T1 9200 12362390 Power CT23^3T3T3 9240 12372751 Power CT23^3T3T2T1 9522 12374542 Power CT23^3T5 9660 12376580 Power CT23^3T3T2 9680 12381683 Power CT23^3T3T1T1 10000 12385512 Power CT23^3T3T1

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