Table for CAN(5,k,4) for k up to 10000

Last Updated Fri Sep 20 11:41:02 MST 2013

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,4) 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 1024 orthogonal array 7 1536 Ji-Li-Yin 8 1792 Xu-Ji-Dong 9 2032 Walker-Colbourn 11 2044 Walker-Colbourn 15 3064 Walker-Colbourn 16 4546 Density Mult Cyclic (Colbourn) postop NCK 17 4672 Density (Linnemann-Frewer) postop NCK 18 5019 Density Mult Cyclic (Colbourn) postop NCK 19 5210 Density Mult Cyclic (Colbourn) postop NCK 20 5402 Density Mult Cyclic (Colbourn) postop NCK 21 5626 Density Mult Cyclic (Colbourn) postop NCK 22 5779 Density Mult Cyclic (Colbourn) postop NCK 23 5959 Density Mult Cyclic (Colbourn) postop NCK 24 6146 Density Mult Cyclic (Colbourn) postop NCK 25 6316 Density Mult Cyclic (Colbourn) 26 6472 Density Mult Cyclic (Colbourn) 27 6628 Density Mult Cyclic (Colbourn) 28 6760 Density Mult Cyclic (Colbourn) 29 6892 Density Mult Cyclic (Colbourn) 30 7024 Density Mult Cyclic (Colbourn) 31 7156 Density Mult Cyclic (Colbourn) 32 7276 Density Mult Cyclic (Colbourn) 33 7396 Density Mult Cyclic (Colbourn) 34 7516 Density Mult Cyclic (Colbourn) 35 7648 Density Mult Cyclic (Colbourn) 36 7732 Density Mult Cyclic (Colbourn) 37 7864 Density Mult Cyclic (Colbourn) 38 7972 Density Mult Cyclic (Colbourn) 39 8068 Density Mult Cyclic (Colbourn) 40 8188 Density Mult Cyclic (Colbourn) 41 8260 Density Mult Cyclic (Colbourn) 42 8368 Density Mult Cyclic (Colbourn) 43 8476 Density Mult Cyclic (Colbourn) 44 8560 Density Mult Cyclic (Colbourn) 45 8632 Density Mult Cyclic (Colbourn) 46 9320 IPOG-F (NIST) 47 9406 IPOG-F (NIST) 48 9501 IPOG-F (NIST) 49 9588 IPOG-F (NIST) 50 9673 IPOG-F (NIST) 51 9755 IPOG-F (NIST) 52 9835 IPOG-F (NIST) 53 9922 IPOG-F (NIST) 54 9998 IPOG-F (NIST) 55 10079 IPOG-F (NIST) 56 10155 IPOG-F (NIST) 57 10232 IPOG-F (NIST) 58 10305 IPOG-F (NIST) 59 10379 IPOG-F (NIST) 60 10454 IPOG-F (NIST) 61 10520 IPOG-F (NIST) 62 10590 IPOG-F (NIST) 63 10650 IPOG-F (NIST) 64 10720 IPOG-F (NIST) 65 10784 IPOG-F (NIST) 66 10851 IPOG-F (NIST) 67 10907 IPOG-F (NIST) 68 10971 IPOG-F (NIST) 69 11038 IPOG-F (NIST) 70 11097 IPOG-F (NIST) 71 11155 IPOG-F (NIST) 72 11214 IPOG-F (NIST) 73 11273 IPOG-F (NIST) 74 11329 IPOG-F (NIST) 75 11386 IPOG-F (NIST) 76 11446 IPOG-F (NIST) 77 11496 IPOG-F (NIST) 78 11554 IPOG-F (NIST) 79 11602 IPOG-F (NIST) 80 11654 IPOG-F (NIST) 81 11708 IPOG-F (NIST) 82 14816 AZ1 83 16640 Add 2 factors 84 17408 Add 3 factors 85 18176 Add 4 factors 88 18738 Power CZ2-11.9-8.1 90 19236 Power CZ2-11.8-9.1-10.1 99 19362 Power CZ2-11.9-9.1 100 19581 Power CZ2-11.8-10.1-10.1 110 19624 Power CZ2-11.9-10.1 121 19860 Power CZ2-11.10 122 23340 AZ1 124 24325 Martirosyan-Colbourn 126 24385 Martirosyan-Colbourn 128 24455 Martirosyan-Colbourn 130 24519 Martirosyan-Colbourn 132 24586 Martirosyan-Colbourn 134 24642 Martirosyan-Colbourn 136 24706 Martirosyan-Colbourn 138 24773 Martirosyan-Colbourn 140 24832 Martirosyan-Colbourn 142 24890 Martirosyan-Colbourn 144 24949 Martirosyan-Colbourn 146 25008 Martirosyan-Colbourn 148 25064 Martirosyan-Colbourn 150 25121 Martirosyan-Colbourn 152 25181 Martirosyan-Colbourn 154 25231 Martirosyan-Colbourn 156 25289 Martirosyan-Colbourn 158 25337 Martirosyan-Colbourn 160 25389 Martirosyan-Colbourn 162 25443 Martirosyan-Colbourn 164 28551 Martirosyan-Colbourn 169 29320 Power CZ2-13.10 170 29761 Power CZ2-14.10 171 29980 Power CZ2-15.10 176 32473 Martirosyan-Colbourn 180 32971 Martirosyan-Colbourn 198 33097 Martirosyan-Colbourn 200 33316 Martirosyan-Colbourn 220 33359 Martirosyan-Colbourn 242 33595 Martirosyan-Colbourn 244 37075 Martirosyan-Colbourn 248 38060 Martirosyan-Colbourn 252 38120 Martirosyan-Colbourn 256 38190 Martirosyan-Colbourn 260 38254 Martirosyan-Colbourn 264 38321 Martirosyan-Colbourn 268 38377 Martirosyan-Colbourn 272 38441 Martirosyan-Colbourn 276 38508 Martirosyan-Colbourn 280 38567 Martirosyan-Colbourn 284 38625 Martirosyan-Colbourn 288 38684 Martirosyan-Colbourn 292 38743 Martirosyan-Colbourn 296 38799 Martirosyan-Colbourn 300 38856 Martirosyan-Colbourn 304 38916 Martirosyan-Colbourn 308 38966 Martirosyan-Colbourn 312 39024 Martirosyan-Colbourn 316 39072 Martirosyan-Colbourn 320 39124 Martirosyan-Colbourn 324 39178 Martirosyan-Colbourn 328 42286 Martirosyan-Colbourn 338 43055 Martirosyan-Colbourn 340 43496 Martirosyan-Colbourn 342 43715 Martirosyan-Colbourn 352 46208 Martirosyan-Colbourn 360 46706 Martirosyan-Colbourn 396 46832 Martirosyan-Colbourn 400 47051 Martirosyan-Colbourn 440 47094 Martirosyan-Colbourn 484 47330 Martirosyan-Colbourn 488 50810 Martirosyan-Colbourn 496 51795 Martirosyan-Colbourn 504 51855 Martirosyan-Colbourn 512 51925 Martirosyan-Colbourn 520 51989 Martirosyan-Colbourn 528 52056 Martirosyan-Colbourn 536 52112 Martirosyan-Colbourn 544 52176 Martirosyan-Colbourn 546 52243 Martirosyan-Colbourn 552 53875 Martirosyan-Colbourn 560 53934 Martirosyan-Colbourn 568 53992 Martirosyan-Colbourn 576 54051 Martirosyan-Colbourn 584 54110 Martirosyan-Colbourn 592 54166 Martirosyan-Colbourn 600 54223 Martirosyan-Colbourn 608 54283 Martirosyan-Colbourn 614 54333 Martirosyan-Colbourn 616 57309 Martirosyan-Colbourn 624 57367 Martirosyan-Colbourn 632 57415 Martirosyan-Colbourn 640 57467 Martirosyan-Colbourn 648 57521 Martirosyan-Colbourn 656 61541 Martirosyan-Colbourn 676 62310 Martirosyan-Colbourn 680 62751 Martirosyan-Colbourn 684 62970 Martirosyan-Colbourn 1379 63254 Power CZ3-19.12-15.7 1707 65351 Power CZ3-19.13-15.6 2131 67448 Power CZ3-19.14-15.5 2673 69594 Power CZ3-19.15-15.4 3375 71740 Power CZ3-19.16-15.1-15.1-15.1 3600 73222 Power CZ3-19.16-15.1-15.1-16.1 3825 73348 Power CZ3-19.16-15.1-15.1-17.1 4050 73661 Power CZ3-19.16-15.1-15.1-18.1 4275 73886 Power CZ3-19.17-15.1-15.1 4335 74956 Power CZ3-19.16-15.1-17.1-17.1 4365 75181 Power CZ3-19.14-18.4-15.1 4590 75269 Power CZ3-19.16-15.1-17.1-18.1 4605 75376 Power CZ3-19.15-18.3-15.1 4845 75494 Power CZ3-19.17-15.1-17.1 4860 75582 Power CZ3-19.16-18.2-15.1 5130 75807 Power CZ3-19.17-15.1-18.1 5415 76032 Power CZ3-19.18-15.1 5491 77102 Power CZ3-19.17-17.1-17.1 5508 77190 Power CZ3-19.16-18.2-17.1 5526 77327 Power CZ3-19.15-18.4 5814 77415 Power CZ3-19.17-17.1-18.1 5832 77522 Power CZ3-19.16-18.3 6137 77640 Power CZ3-19.18-17.1 6156 77728 Power CZ3-19.17-18.1-18.1 6498 77953 Power CZ3-19.18-18.1 6859 78178 Power CZ3-19.19 6860 81703 Power CZ3-20.19 6861 85495 Power CZ3-21.19 6900 88323 Power CZ3-23.17-15.1-20.1 6945 88339 Power CZ3-23.15-22.3-15.1 7260 88519 Power CZ3-23.16-22.2-15.1 7590 88699 Power CZ3-23.17-15.1-22.1 7935 88880 Power CZ3-23.18-15.1 7974 90088 Power CZ3-23.14-22.4-18.1 8000 90104 Power CZ3-23.16-20.1-20.1-20.1 8056 90125 Power CZ3-23.13-22.5-19.1 8228 90127 Power CZ3-23.16-22.2-17.1 8280 90252 Power CZ3-23.17-18.1-20.1 8334 90268 Power CZ3-23.15-22.3-18.1 8360 90288 Power CZ3-23.16-19.1-20.1-22.1 8400 90304 Power CZ3-23.16-20.1-20.1-21.1 8417 90305 Power CZ3-23.14-22.4-19.1 8602 90307 Power CZ3-23.17-17.1-22.1 8712 90448 Power CZ3-23.16-22.2-18.1 8740 90469 Power CZ3-23.17-19.1-20.1 8800 90480 Power CZ3-23.16-20.1-20.1-22.1 8993 90488 Power CZ3-23.18-17.1 9108 90628 Power CZ3-23.17-18.1-22.1 9200 90661 Power CZ3-23.17-20.1-20.1 9260 90677 Power CZ3-23.15-22.3-20.1 9328 90694 Power CZ3-23.13-22.6 9522 90809 Power CZ3-23.18-18.1 9614 90845 Power CZ3-23.17-19.1-22.1 9680 90857 Power CZ3-23.16-22.2-20.1 9746 90874 Power CZ3-23.14-22.5 10000 91026 Power CZ3-23.18-19.1

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