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

Last Updated Fri Mar 27 17:29:14 MST 2015

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 132619 Add a symbol postop NCK 9 144239 Add a symbol postop NCK 10 154721 orthogonal array fuse postop NCK 11 158255 orthogonal array fuse postop NCK 12 159693 orthogonal array fuse postop NCK 13 266200 extended OA (Colbourn) special fuse 14 301696 orthogonal array fuse fuse fuse postop NCK 15 468916 Add 1 factors 16 479076 perfect hash family3,16,12 18 549896 Martirosyan-TVT 19 563393 Martirosyan-TVT variant 20 565823 Martirosyan-TVT 21 578973 Martirosyan-TVT variant 22 587905 Martirosyan-TVT 23 591307 Martirosyan-TVT variant 24 594717 Martirosyan-TVT 25 806127 Add 1 factors 26 923449 Martirosyan-TVT 27 965965 Martirosyan-TVT variant 28 995595 Martirosyan-TVT 29 1212211 Add 5 factors 30 1271903 Add 11 factors 32 1277536 perfect hash family8,32,12 36 1298142 Power N-CT9^2Tlev 37 1349420 Power N-CT9^2Arc(8) 39 1361040 Power N-CT9^2Arc(7) 41 1371661 Power N-CT9^2Arc(4)T2 42 1372660 Power N-CT9^2Arc(6) 43 1374901 Power N-CT9^2Arc(2)T3 44 1382282 Power N-CT9^2Trin1,2,2 45 1383281 Power N-CT9^2Arc(3)T2 46 1384280 Power N-CT9^2Arc(5) 48 1386521 Power N-CT9^2T3T1 49 1393902 Power N-CT9^2T2T2 50 1394901 Power N-CT9^2Arc(2)T2 51 1395900 Power N-CT9^2Arc(4) 54 1398141 Power N-CT9^2T3 56 1406521 Power N-CT9^2T2T1 57 1407520 Power N-CT9^2Arc(3) 63 1418141 Power N-CT9^2T2 64 1419140 Power N-CT9^2T1T1 72 1430760 Power N-CT9^2T1 81 1442380 Power N-CT9^2 82 1547200 Power N-CT9^2+1 83 1582540 Power N-CT9^2+2 84 1596920 Power N-CT9^2+3 88 1715158 Power CT11^2T3 90 1723244 Power CT11^2T2T1 99 1726778 Power CT11^2T2 100 1733726 Power CT11^2T1T1 110 1737260 Power CT11^2T1 121 1740794 Power CT11^2 122 1756612 Power CT11^2+1 123 1995922 Add 1 factors 124 2190322 Add 2 factors 125 2397162 Add 3 factors 126 2416674 Add 4 factors 127 2453011 Add 5 factors 132 2574154 Add 11 factors 133 2589972 Add 11 factors 144 2715175 Power CT13^2T1T1 156 2821682 Power CT13^2T1 169 2928189 Power CT13^2 170 3253089 Add 1 factors 176 3356539 Martirosyan-Colbourn 180 3368360 Martirosyan-Colbourn 192 3371894 Martirosyan-Colbourn 198 3377420 Martirosyan-Colbourn 200 3384368 Martirosyan-Colbourn 204 3387902 Martirosyan-Colbourn 216 3506291 Martirosyan-TVT 220 3507749 Martirosyan-TVT 242 3511283 Martirosyan-TVT 243 3544408 Martirosyan-TVT variant 244 3549726 Martirosyan-TVT 246 3789036 Martirosyan-TVT 248 3983436 Martirosyan-TVT 250 4190276 Martirosyan-TVT 252 4209788 Martirosyan-TVT 254 4246125 Martirosyan-TVT 264 4367268 Martirosyan-TVT 266 4393742 Martirosyan-TVT 267 4714245 Martirosyan-TVT variant 268 4909545 Martirosyan-TVT 269 4920612 Martirosyan-TVT variant 288 4931679 Martirosyan-TVT 289 5185480 Martirosyan-TVT variant 309 5199920 Martirosyan-TVT variant 312 5207140 Martirosyan-TVT 335 5331782 Martirosyan-TVT variant 336 5339002 Martirosyan-TVT 338 5416771 Martirosyan-TVT 342 5620423 Power N-CT19^2T1 361 5633920 Power N-CT19^2 362 5658220 Power N-CT19^2+1 363 5789720 Power N-CT19^2+2 368 5800829 Power N-CT23^2T7 383 5858690 Power N-CT23^2Trin1,3,3 400 5862092 Power N-CT23^2T3T3 414 5871649 Power N-CT23^2T5 420 5875242 Power N-CT23^2T3T2 421 5880772 Power N-CT23^2Arc(2)T3 440 5884174 Power N-CT23^2T3T1 460 5887576 Power N-CT23^2T3 462 5897324 Power N-CT23^2T2T1 483 5900726 Power N-CT23^2T2 484 5906256 Power N-CT23^2T1T1 506 5909658 Power N-CT23^2T1 529 5913060 Power N-CT23^2 530 5947160 Power N-CT23^2+1 531 6434060 Add 1 factors 532 6704060 Add 2 factors 533 6914330 Add 4 factors 534 6948430 Add 4 factors 535 6997220 Add 5 factors 540 7150670 Add 11 factors 541 7184770 Add 11 factors 542 7671670 Add 11 factors 549 7885213 Martirosyan-TVT variant 552 7914093 Martirosyan-TVT 573 7979361 Martirosyan-TVT variant 576 8008241 Martirosyan-TVT 577 8338623 Martirosyan-TVT variant 578 8345843 Martirosyan-TVT 599 8360283 Martirosyan-TVT variant 605 8381943 Martirosyan-TVT variant 606 8389163 Martirosyan-TVT 612 8390045 Martirosyan-TVT 618 8390063 Martirosyan-TVT 624 8400901 Martirosyan-TVT 625 8525579 Martirosyan-TVT variant 642 8528478 Martirosyan-Colbourn 648 8535930 Martirosyan-Colbourn 670 8537460 Martirosyan-Colbourn 672 8544680 Martirosyan-Colbourn 676 8622449 Martirosyan-Colbourn 684 8826101 Martirosyan-Colbourn 690 8839598 Martirosyan-Colbourn 714 8843468 Martirosyan-Colbourn 720 8845484 Martirosyan-Colbourn 722 8851424 Martirosyan-Colbourn 724 8875724 Martirosyan-Colbourn 726 9007224 Martirosyan-Colbourn 732 9075866 Martirosyan-Colbourn 736 9080611 Martirosyan-Colbourn 766 9084798 Martirosyan-Colbourn 792 9088200 Martirosyan-Colbourn 800 9112392 Martirosyan-Colbourn 828 9121949 Martirosyan-Colbourn 840 9125542 Martirosyan-Colbourn 842 9131072 Martirosyan-Colbourn 864 9134474 Martirosyan-Colbourn 880 9187322 Martirosyan-Colbourn 920 9194459 Martirosyan-Colbourn 924 9204207 Martirosyan-Colbourn 960 9207609 Martirosyan-Colbourn 966 9213135 Martirosyan-Colbourn 968 9218665 Martirosyan-Colbourn 1012 9222067 Martirosyan-Colbourn 1030 9225469 Martirosyan-Colbourn 1040 9226369 Martirosyan-Colbourn 1050 9226387 Martirosyan-Colbourn 1058 9232957 Martirosyan-Colbourn 1060 9267057 Martirosyan-Colbourn 1062 9753957 Martirosyan-Colbourn 1064 10023957 Martirosyan-Colbourn 1066 10234227 Martirosyan-Colbourn 1068 10268327 Martirosyan-Colbourn 1070 10317117 Martirosyan-Colbourn 1080 10471467 Martirosyan-Colbourn 1082 10507079 Martirosyan-Colbourn 1110 10534700 perfect hash family66,1332,12T2 1120 10536796 perfect hash family66,1332,12S2 1221 10538234 perfect hash family66,1332,12T1 1332 10539672 perfect hash family66,1332,12 1333 11093262 Add 1 factors 1440 11117612 Power CT23^3T13T11T11 1452 11119708 Power CT23^3T12T12T11 1584 11121146 Power CT23^3T12T11T11 1728 11122584 Power CT23^3T11T11T11 1872 11229091 Power CT23^3T11T11T10 2016 11264587 Power CT23^3T11T11T9 2028 11335598 Power CT23^3T11T10T10 2184 11371094 Power CT23^3T11T10T9 2352 11406590 Power CT23^3T11T9T9 2366 11477601 Power CT23^3T10T10T9 2376 11511349 Power CT23^3T12T11T5 2592 11512787 Power CT23^3T11T11T5 2736 11526284 Power CT23^3T11T11T4 2880 11528714 Power CT23^3T11T11T3 3024 11541864 Power CT23^3T11T11T2 3168 11550796 Power CT23^3T11T11T1 3312 11554198 Power CT23^3T11T11 3432 11657303 Power CT23^3T11T10T1 3588 11660705 Power CT23^3T11T10 3696 11692799 Power CT23^3T11T9T1 3864 11696201 Power CT23^3T11T9 3887 11767212 Power CT23^3T10T10 4004 11799306 Power CT23^3T10T9T1 4186 11802708 Power CT23^3T10T9 4312 11834802 Power CT23^3T9T9T1 4508 11838204 Power CT23^3T9T9 4536 11932067 Power CT23^3T11T5T2 4560 11932414 Power CT23^3T11T4T3 4800 11934844 Power CT23^3T11T3T3 4968 11944401 Power CT23^3T11T5 5040 11947994 Power CT23^3T11T3T2 5280 11956926 Power CT23^3T11T3T1 5520 11960328 Power CT23^3T11T3 5544 11970076 Power CT23^3T11T2T1 5796 11973478 Power CT23^3T11T2 5808 11979008 Power CT23^3T11T1T1 6072 11982410 Power CT23^3T11T1 6348 11985812 Power CT23^3T11 6578 12088917 Power CT23^3T10T1 6877 12092319 Power CT23^3T10 7084 12124413 Power CT23^3T9T1 7406 12127815 Power CT23^3T9 7590 12291633 Power CT23^3T8T1 7728 12292861 Power CT23^3T7T2 7935 12295035 Power CT23^3T8 8096 12301793 Power CT23^3T7T1 8464 12305195 Power CT23^3T7 8800 12363056 Power CT23^3T3T3T1 9200 12366458 Power CT23^3T3T3 9522 12376015 Power CT23^3T5 9660 12379608 Power CT23^3T3T2 9680 12385138 Power CT23^3T3T1T1 10000 12388540 Power CT23^3T3T1

Graph: