Table for CAN(5,k,4) 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,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 6313 Density Mult Cyclic (Colbourn) postop NCK 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 9176 IPOGF postop FSGF (RC-TJ) 47 9262 IPOGF postop FSGF (RC-TJ) 48 9357 IPOGF postop FSGF (RC-TJ) 49 9453 IPOGF postop FSGF (RC-TJ) 50 9520 IPOGF postop FSGF (RC-TJ) 51 9621 IPOGF postop FSGF (RC-TJ) 52 9682 IPOGF postop FSGF (RC-TJ) 53 9769 IPOGF postop FSGF (RC-TJ) 54 9849 IPOGF postop FSGF (RC-TJ) 55 9927 IPOGF postop FSGF (RC-TJ) 56 10007 IPOGF postop FSGF (RC-TJ) 57 10082 IPOGF postop FSGF (RC-TJ) 59 10231 IPOGF postop FSGF (RC-TJ) 60 10302 IPOGF postop FSGF (RC-TJ) 62 10442 IPOGF postop FSGF (RC-TJ) 63 10509 IPOGF postop FSGF (RC-TJ) 64 10578 IPOGF postop FSGF (RC-TJ) 65 10648 IPOGF postop FSGF (RC-TJ) 66 10713 IPOGF postop FSGF (RC-TJ) 67 10768 IPOGF postop FSGF (RC-TJ) 68 10849 IPOGF postop FSGF (RC-TJ) 69 10915 IPOGF postop FSGF (RC-TJ) 70 10976 IPOGF postop FSGF (RC-TJ) 71 11038 IPOGF postop FSGF (RC-TJ) 72 11104 IPOGF postop FSGF (RC-TJ) 73 11178 IPOGF postop FSGF (RC-TJ) 74 11221 IPOGF postop FSGF (RC-TJ) 75 11299 IPOGF postop FSGF (RC-TJ) 76 11354 IPOGF postop FSGF (RC-TJ) 77 11422 IPOGF postop FSGF (RC-TJ) 78 11474 IPOGF postop FSGF (RC-TJ) 79 11533 IPOGF postop FSGF (RC-TJ) 80 11590 IPOGF postop FSGF (RC-TJ) 81 11654 IPOGF postop FSGF (RC-TJ) 82 14762 Add 1 factors 83 16586 Add 2 factors 84 17354 Add 3 factors 85 18122 Add 4 factors 88 18738 Power CZ2-11.9-8.1 90 19237 Power CZ2-11.8-9.1-10.1 99 19356 Power CZ2-11.9-9.1 100 19582 Power CZ2-11.8-10.1-10.1 110 19625 Power CZ2-11.9-10.1 121 19860 Power CZ2-11.10 122 23340 Add 1 factors 124 23586 Martirosyan-Colbourn 126 23653 Martirosyan-Colbourn 128 23722 Martirosyan-Colbourn 130 23981 Martirosyan-Colbourn 132 24046 Martirosyan-Colbourn 134 24101 Martirosyan-Colbourn 136 24182 Martirosyan-Colbourn 138 24650 Martirosyan-Colbourn 140 24711 Martirosyan-Colbourn 142 24773 Martirosyan-Colbourn 144 24839 Martirosyan-Colbourn 146 24913 Martirosyan-Colbourn 148 24956 Martirosyan-Colbourn 150 25034 Martirosyan-Colbourn 152 25089 Martirosyan-Colbourn 154 25157 Martirosyan-Colbourn 156 25209 Martirosyan-Colbourn 158 25268 Martirosyan-Colbourn 160 25325 Martirosyan-Colbourn 162 25389 Martirosyan-Colbourn 164 28497 Martirosyan-Colbourn 169 29321 Power CZ2-13.10 170 29762 Power CZ2-14.10 171 29981 Power CZ2-15.10 176 32473 Martirosyan-Colbourn 180 32972 Martirosyan-Colbourn 198 33091 Martirosyan-Colbourn 200 33317 Martirosyan-Colbourn 220 33360 Martirosyan-Colbourn 242 33595 Martirosyan-Colbourn 244 37075 Martirosyan-Colbourn 248 37321 Martirosyan-Colbourn 252 37388 Martirosyan-Colbourn 256 37457 Martirosyan-Colbourn 260 37716 Martirosyan-Colbourn 264 37781 Martirosyan-Colbourn 268 37836 Martirosyan-Colbourn 272 37917 Martirosyan-Colbourn 276 38385 Martirosyan-Colbourn 280 38446 Martirosyan-Colbourn 284 38508 Martirosyan-Colbourn 288 38574 Martirosyan-Colbourn 292 38648 Martirosyan-Colbourn 296 38691 Martirosyan-Colbourn 300 38769 Martirosyan-Colbourn 304 38824 Martirosyan-Colbourn 308 38892 Martirosyan-Colbourn 312 38944 Martirosyan-Colbourn 316 39003 Martirosyan-Colbourn 320 39060 Martirosyan-Colbourn 324 39124 Martirosyan-Colbourn 328 42232 Martirosyan-Colbourn 338 43056 Martirosyan-Colbourn 340 43497 Martirosyan-Colbourn 342 43716 Martirosyan-Colbourn 352 46208 Martirosyan-Colbourn 360 46707 Martirosyan-Colbourn 396 46826 Martirosyan-Colbourn 400 47052 Martirosyan-Colbourn 440 47095 Martirosyan-Colbourn 484 47330 Martirosyan-Colbourn 488 50810 Martirosyan-Colbourn 496 51056 Martirosyan-Colbourn 504 51123 Martirosyan-Colbourn 512 51192 Martirosyan-Colbourn 520 51451 Martirosyan-Colbourn 528 51516 Martirosyan-Colbourn 536 51571 Martirosyan-Colbourn 544 51652 Martirosyan-Colbourn 546 52120 Martirosyan-Colbourn 552 53752 Martirosyan-Colbourn 560 53813 Martirosyan-Colbourn 568 53875 Martirosyan-Colbourn 576 53941 Martirosyan-Colbourn 584 54015 Martirosyan-Colbourn 592 54058 Martirosyan-Colbourn 600 54136 Martirosyan-Colbourn 608 54191 Martirosyan-Colbourn 614 54259 Martirosyan-Colbourn 616 57233 Martirosyan-Colbourn 624 57285 Martirosyan-Colbourn 632 57344 Martirosyan-Colbourn 640 57401 Martirosyan-Colbourn 648 57465 Martirosyan-Colbourn 656 61487 Martirosyan-Colbourn 676 62311 Martirosyan-Colbourn 680 62752 Martirosyan-Colbourn 684 62971 Martirosyan-Colbourn 704 65463 Martirosyan-Colbourn 720 65962 Martirosyan-Colbourn 762 66081 Martirosyan-Colbourn 792 68001 Martirosyan-Colbourn 800 68227 Martirosyan-Colbourn 880 68270 Martirosyan-Colbourn 924 68505 Martirosyan-Colbourn 968 69657 Martirosyan-Colbourn 992 72630 Power CT32^2T1 1024 72750 Power CT32^2 1040 73778 Martirosyan-Colbourn 1056 73843 Martirosyan-Colbourn 1072 73898 Martirosyan-Colbourn 1088 73979 Martirosyan-Colbourn 1092 74447 Martirosyan-Colbourn 1116 76734 Power CT36^2T5 1122 76758 Power CT36^2T3T2 1123 76806 Power CT36^2T3S2 1125 76842 Power CT36^2T2S3 1152 76854 Power CT36^2T4 1156 76878 Power CT36^2T2T2 1157 76926 Power CT36^2T2S2 1188 76974 Power CT36^2T3 1190 77010 Power CT36^2T2T1 1191 77058 Power CT36^2S3 1224 77094 Power CT36^2T2 1225 77142 Power CT36^2T1T1 1260 77226 Power CT36^2T1 1296 77310 Power CT36^2 1379 77536 Power CZ3-19.12-15.7 1707 79682 Power CZ3-19.13-15.6 2131 81828 Power CZ3-19.14-15.5 2673 83974 Power CZ3-19.15-15.4 3375 86120 Power CZ3-19.16-15.1-15.1-15.1 3600 87602 Power CZ3-19.16-15.1-15.1-16.1 3825 87728 Power CZ3-19.16-15.1-15.1-17.1 4050 88041 Power CZ3-19.16-15.1-15.1-18.1 4275 88266 Power CZ3-19.17-15.1-15.1 4335 89336 Power CZ3-19.16-15.1-17.1-17.1 4365 89512 Power CZ3-19.14-18.4-15.1 4590 89649 Power CZ3-19.16-15.1-17.1-18.1 4605 89737 Power CZ3-19.15-18.3-15.1 4845 89874 Power CZ3-19.17-15.1-17.1 4860 89962 Power CZ3-19.16-18.2-15.1 5130 90187 Power CZ3-19.17-15.1-18.1 5415 90412 Power CZ3-19.18-15.1 5491 91482 Power CZ3-19.17-17.1-17.1 5508 91570 Power CZ3-19.16-18.2-17.1 5526 91658 Power CZ3-19.15-18.4 5814 91795 Power CZ3-19.17-17.1-18.1 5832 91883 Power CZ3-19.16-18.3 6137 92020 Power CZ3-19.18-17.1 6156 92108 Power CZ3-19.17-18.1-18.1 6498 92333 Power CZ3-19.18-18.1 6859 92558 Power CZ3-19.19 6860 96176 Power CZ3-20.19 6861 100134 Power CZ3-21.19 6900 103131 Power CZ3-23.17-15.1-20.1 6945 103146 Power CZ3-23.15-22.3-15.1 7260 103326 Power CZ3-23.16-22.2-15.1 7590 103507 Power CZ3-23.17-15.1-22.1 7935 103688 Power CZ3-23.18-15.1 7974 104895 Power CZ3-23.14-22.4-18.1 8000 104912 Power CZ3-23.16-20.1-20.1-20.1 8056 104932 Power CZ3-23.13-22.5-19.1 8228 104934 Power CZ3-23.16-22.2-17.1 8280 105060 Power CZ3-23.17-18.1-20.1 8334 105075 Power CZ3-23.15-22.3-18.1 8360 105096 Power CZ3-23.16-19.1-20.1-22.1 8417 105112 Power CZ3-23.14-22.4-19.1 8602 105115 Power CZ3-23.17-17.1-22.1 8712 105255 Power CZ3-23.16-22.2-18.1 8740 105277 Power CZ3-23.17-19.1-20.1 8800 105288 Power CZ3-23.16-20.1-20.1-22.1 8993 105296 Power CZ3-23.18-17.1 9108 105436 Power CZ3-23.17-18.1-22.1 9200 105469 Power CZ3-23.17-20.1-20.1 9260 105484 Power CZ3-23.15-22.3-20.1 9328 105501 Power CZ3-23.13-22.6 9522 105617 Power CZ3-23.18-18.1 9614 105653 Power CZ3-23.17-19.1-22.1 9680 105664 Power CZ3-23.16-22.2-20.1 9746 105681 Power CZ3-23.14-22.5 10000 105834 Power CZ3-23.18-19.1

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