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

Last Updated Tue Nov 3 18:45:16 MST 2009

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 137173 Add a symbol 9 152414 Add a symbol 12 161049 orthogonal array fuse 13 278319 Add a factor 14 330680 Martirosyan-Tran van Trung 16 357056 Martirosyan-Tran van Trung 18 373069 Martirosyan-Tran van Trung 22 381704 Martirosyan-Tran van Trung 24 382476 Martirosyan-Tran van Trung 25 594516 Add a factor 26 596022 Martirosyan-Tran van Trung 28 653033 Martirosyan-Tran van Trung 30 725469 Martirosyan-Tran van Trung 32 732417 Martirosyan-Tran van Trung 34 753834 Martirosyan-Tran van Trung 36 756150 Martirosyan-Tran van Trung 38 767873 Martirosyan-Tran van Trung 40 770189 Martirosyan-Tran van Trung 42 777137 Martirosyan-Tran van Trung 44 784857 Martirosyan-Tran van Trung 46 792577 Martirosyan-Tran van Trung 48 859146 Martirosyan-Tran van Trung 49 1097556 Add a factor 50 1214642 Martirosyan-Tran van Trung 52 1216148 Martirosyan-Tran van Trung 56 1273177 Martirosyan-Tran van Trung 60 1389650 Martirosyan-Tran van Trung 64 1404158 Martirosyan-Tran van Trung 66 1425575 Martirosyan-Tran van Trung 68 1442126 Martirosyan-Tran van Trung 70 1444442 Martirosyan-Tran van Trung 72 1451390 Martirosyan-Tran van Trung 74 1464657 Martirosyan-Tran van Trung 76 1465429 Martirosyan-Tran van Trung 80 1467745 Martirosyan-Tran van Trung 84 1481497 Martirosyan-Tran van Trung 88 1489217 Martirosyan-Tran van Trung 92 1498438 Martirosyan-Tran van Trung 96 1630032 Martirosyan-Tran van Trung 99 1762893 Power 11^2T2 121 1771449 perfect hash family11,121,11,c fuse 122 1771528 Power 11^2+1 123 2106598 Add a factor 124 2188387 Martirosyan-Tran van Trung 128 2189159 Martirosyan-Tran van Trung 132 2210576 Martirosyan-Tran van Trung 136 2227127 Martirosyan-Tran van Trung 140 2229443 Martirosyan-Tran van Trung 142 2236391 Martirosyan-Tran van Trung 144 2237935 Martirosyan-Tran van Trung 148 2251202 Martirosyan-Tran van Trung 152 2251974 Martirosyan-Tran van Trung 156 2254290 Martirosyan-Tran van Trung 158 2261238 Martirosyan-Tran van Trung 160 2262782 Martirosyan-Tran van Trung 168 2276534 Martirosyan-Tran van Trung 176 2284254 Martirosyan-Tran van Trung 182 2293475 Martirosyan-Tran van Trung 184 2294247 Martirosyan-Tran van Trung 192 2425841 Martirosyan-Tran van Trung 198 2558703 Martirosyan-Tran van Trung 242 2567258 Martirosyan-Tran van Trung 244 2589117 Martirosyan-Tran van Trung 246 2924187 Martirosyan-Tran van Trung 248 3006748 Martirosyan-Tran van Trung 256 3007520 Martirosyan-Tran van Trung 264 3028937 Martirosyan-Tran van Trung 266 3227738 Martirosyan-Tran van Trung 268 3232499 Martirosyan-Tran van Trung 272 3233271 Martirosyan-Tran van Trung 280 3235587 Martirosyan-Tran van Trung 284 3242535 Martirosyan-Tran van Trung 286 3244079 Martirosyan-Tran van Trung 288 3281544 Martirosyan-Tran van Trung 296 3294811 Martirosyan-Tran van Trung 304 3295583 Martirosyan-Tran van Trung 308 3297899 Martirosyan-Tran van Trung 312 3347435 Martirosyan-Tran van Trung 316 3356699 Martirosyan-Tran van Trung 320 3358243 Martirosyan-Tran van Trung 336 3371995 Martirosyan-Tran van Trung 338 3379715 Martirosyan-Tran van Trung 352 3384347 Martirosyan-Tran van Trung 364 3448018 Martirosyan-Tran van Trung 368 3456510 Martirosyan-Tran van Trung 384 3588104 Martirosyan-Tran van Trung 390 3720966 Martirosyan-Tran van Trung 392 3724826 Martirosyan-Tran van Trung 396 3725598 Martirosyan-Tran van Trung 416 3736469 Martirosyan-Tran van Trung 424 3741101 Martirosyan-Tran van Trung 448 3741873 Martirosyan-Tran van Trung 468 3744189 Martirosyan-Tran van Trung 484 3747277 Martirosyan-Tran van Trung 488 3769136 Martirosyan-Tran van Trung 506 3823978 Power N23^2T1 530 3824750 Power N23^2+1 531 4311650 Add a factor 532 4695094 Martirosyan-Tran van Trung 536 4699855 Martirosyan-Tran van Trung 544 4700627 Martirosyan-Tran van Trung 546 4702943 Martirosyan-Tran van Trung 552 4707575 Martirosyan-Tran van Trung 560 4741892 Martirosyan-Tran van Trung 564 4749612 Martirosyan-Tran van Trung 568 4751928 Martirosyan-Tran van Trung 572 4753472 Martirosyan-Tran van Trung 574 4801686 Martirosyan-Tran van Trung 576 4803230 Martirosyan-Tran van Trung 588 4816497 Martirosyan-Tran van Trung 592 4817269 Martirosyan-Tran van Trung 604 4818041 Martirosyan-Tran van Trung 608 4820357 Martirosyan-Tran van Trung 616 4822673 Martirosyan-Tran van Trung 618 4893026 Martirosyan-Tran van Trung 624 4900334 Martirosyan-Tran van Trung 632 4909598 Martirosyan-Tran van Trung 640 4911142 Martirosyan-Tran van Trung 642 4924894 Martirosyan-Tran van Trung 660 4939942 Martirosyan-Tran van Trung 672 4945306 Martirosyan-Tran van Trung 676 4953026 Martirosyan-Tran van Trung 680 4957658 Martirosyan-Tran van Trung 704 4958430 Martirosyan-Tran van Trung 728 5022101 Martirosyan-Tran van Trung 736 5030593 Martirosyan-Tran van Trung 740 5162187 Martirosyan-Tran van Trung 768 5162959 Martirosyan-Tran van Trung 780 5295821 Martirosyan-Tran van Trung 784 5299681 Martirosyan-Tran van Trung 792 5300453 Martirosyan-Tran van Trung 830 5311324 Martirosyan-Tran van Trung 832 5312868 Martirosyan-Tran van Trung 848 5317500 Martirosyan-Tran van Trung 896 5318272 Martirosyan-Tran van Trung 936 5320588 Martirosyan-Tran van Trung 968 5331396 Martirosyan-Tran van Trung 976 5353255 Martirosyan-Tran van Trung 1012 5408097 Martirosyan-Tran van Trung 1060 5408869 Martirosyan-Tran van Trung 1062 5895769 Martirosyan-Tran van Trung 1064 6279213 Martirosyan-Tran van Trung 1072 6283974 Martirosyan-Tran van Trung 1088 6284746 Martirosyan-Tran van Trung 1092 6287062 Martirosyan-Tran van Trung 1100 6291694 Martirosyan-Tran van Trung 1104 6390694 Martirosyan-Tran van Trung 1120 6425011 Martirosyan-Tran van Trung 1128 6432731 Martirosyan-Tran van Trung 1136 6435047 Martirosyan-Tran van Trung 1144 6436591 Martirosyan-Tran van Trung 1148 6484805 Martirosyan-Tran van Trung 1152 6486349 Martirosyan-Tran van Trung 1176 6499616 Martirosyan-Tran van Trung 1184 6500388 Martirosyan-Tran van Trung 1208 6501160 Martirosyan-Tran van Trung 1216 6503476 Martirosyan-Tran van Trung 1218 6505792 Martirosyan-Tran van Trung 1232 6506564 Martirosyan-Tran van Trung 1236 6576917 Martirosyan-Tran van Trung 1248 6584225 Martirosyan-Tran van Trung 1264 6593489 Martirosyan-Tran van Trung 1280 6595033 Martirosyan-Tran van Trung 1284 6608785 Martirosyan-Tran van Trung 1320 6623833 Martirosyan-Tran van Trung 1328 6629197 Martirosyan-Tran van Trung 1344 6629969 Martirosyan-Tran van Trung 1352 6637689 Martirosyan-Tran van Trung 1360 6642321 Martirosyan-Tran van Trung 1408 6643093 Martirosyan-Tran van Trung 1448 6706764 Martirosyan-Tran van Trung 1456 6707536 Martirosyan-Tran van Trung 1472 6716028 Martirosyan-Tran van Trung 1480 6847622 Martirosyan-Tran van Trung 1484 6848394 Martirosyan-Tran van Trung 1536 6849166 Martirosyan-Tran van Trung 1561 6973380 Power N41^2S3 1600 6980328 Power N41^2T1T1 1640 6987276 Power N41^2T1 1682 6994224 Power N41^2+1 1696 7003707 Martirosyan-Tran van Trung 1716 7004479 Martirosyan-Tran van Trung 1792 7005251 Martirosyan-Tran van Trung 1872 7007567 Martirosyan-Tran van Trung 1936 7020691 Martirosyan-Tran van Trung 1952 7042550 Martirosyan-Tran van Trung 2024 7097392 Martirosyan-Tran van Trung 2028 7098164 Martirosyan-Tran van Trung 2120 7102796 Martirosyan-Tran van Trung 2208 7565245 Power 23^3T15T11 2484 7580486 Power 23^3T14T11 3312 7589121 Power 23^3T11T11 3588 7706391 Power 23^3T11T10 3864 7758752 Power 23^3T11T9 4416 7785128 Power 23^3T11T7 4968 7801141 Power 23^3T11T5 5088 7806688 Power 23^3T11S5 5316 7807460 Power 23^3T11S4 5556 7808232 Power 23^3T11S3 5808 7809004 Power 23^3T11S2 6072 7809776 Power 23^3T11T1 6348 7810548 Power 23^3T11 6578 7927046 Power 23^3T10T1 6877 7927818 Power 23^3T10 7084 7979407 Power 23^3T9T1 7406 7980179 Power 23^3T9 7408 8004239 Power 23^3T7S3 7744 8005011 Power 23^3T7S2 8096 8005783 Power 23^3T7T1 8464 8006555 Power 23^3T7 8712 8021024 Power 23^3T5S2 9108 8021796 Power 23^3T5T1 9522 8022568 Power 23^3T5 9746 8028115 Power 23^3S5 10000 8028887 Power 23^3S4

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