Table for CAN(4,k,6) for k up to 10000

Last Updated Sun Dec 20 13:00:52 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;4,k,6) 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 5 1296 Derive from strength 5 6 1653 Augment OA 7 1844 orthogonal array fuse postop NCK 8 1975 orthogonal array fuse postop NCK 9 2768 Density (Bryce-Colbourn) postop NCK 10 3208 Density (Bryce-Colbourn) postop NCK 11 3671 Density Cyclic (Colbourn) postop NCK 12 3944 Density (Bryce-Colbourn) postop NCK 13 4027 Walker-Colbourn fuse postop NCK 14 4080 Walker-Colbourn fuse postop NCK 15 4132 Walker-Colbourn fuse postop NCK 16 4203 Walker-Colbourn fuse postop NCK 17 4259 Walker-Colbourn fuse postop NCK 18 4315 Walker-Colbourn fuse postop NCK 19 5422 Density Cyclic (Colbourn) postop NCK 20 5584 Density Cyclic (Colbourn) postop NCK 21 5743 Density Cyclic (Colbourn) postop NCK 22 5895 Density Cyclic (Colbourn) postop NCK 23 6062 Density Cyclic (Colbourn) postop NCK 24 6176 Density Cyclic (Colbourn) postop NCK 25 6325 Density Cyclic (Colbourn) postop NCK 26 6456 Density Cyclic (Colbourn) 27 6606 Density Cyclic (Colbourn) 28 6714 Density Cyclic (Colbourn) 29 6852 Density Cyclic (Colbourn) 30 6966 Density Cyclic (Colbourn) 31 7092 Density Cyclic (Colbourn) 32 7200 Density Cyclic (Colbourn) 33 7320 Density Cyclic (Colbourn) 34 7410 Density Cyclic (Colbourn) 35 7506 Density Cyclic (Colbourn) 36 7614 Density Cyclic (Colbourn) 37 7716 Density Cyclic (Colbourn) 38 7812 Density Cyclic (Colbourn) 39 7902 Density Cyclic (Colbourn) 40 7992 Density Cyclic (Colbourn) 41 8094 Density Cyclic (Colbourn) 42 8184 Density Cyclic (Colbourn) 43 8256 Density Cyclic (Colbourn) 44 8352 Density Cyclic (Colbourn) 45 8436 Density Cyclic (Colbourn) 46 8508 Density Cyclic (Colbourn) 47 8586 Density Cyclic (Colbourn) 48 8670 Density Cyclic (Colbourn) 49 8760 Density Cyclic (Colbourn) 50 8826 Density Cyclic (Colbourn) 51 8910 Density Cyclic (Colbourn) 52 8982 Density Cyclic (Colbourn) 53 9054 Density Cyclic (Colbourn) 54 9120 Density Cyclic (Colbourn) 55 9186 Density Cyclic (Colbourn) 56 9264 Density Cyclic (Colbourn) 57 9306 Density Cyclic (Colbourn) 58 9390 Density Cyclic (Colbourn) 59 9456 Density Cyclic (Colbourn) 60 9516 Density Cyclic (Colbourn) 61 9582 Density Cyclic (Colbourn) 62 9642 Density Cyclic (Colbourn) 65 9810 Density Cyclic (Colbourn) 70 10092 Density Cyclic (Colbourn) 71 10676 IPOGF postop FSGF (RC-TJ) 72 10744 IPOGF postop FSGF (RC-TJ) 73 10758 IPOGF postop FSGF (RC-TJ) 74 10821 IPOGF postop FSGF (RC-TJ) 75 10882 IPOGF postop FSGF (RC-TJ) 76 10959 IPOGF postop FSGF (RC-TJ) 77 10992 IPOGF postop FSGF (RC-TJ) 78 11017 IPOGF postop FSGF (RC-TJ) 79 11100 IPOGF postop FSGF (RC-TJ) 80 11121 IPOGF postop FSGF (RC-TJ) 81 11187 IPOGF postop FSGF (RC-TJ) 82 11219 IPOGF postop FSGF (RC-TJ) 83 11282 IPOGF postop FSGF (RC-TJ) 84 11319 IPOGF postop FSGF (RC-TJ) 85 11384 IPOGF postop FSGF (RC-TJ) 86 11407 IPOGF postop FSGF (RC-TJ) 87 11478 IPOGF postop FSGF (RC-TJ) 88 11504 IPOGF postop FSGF (RC-TJ) 89 11581 IPOGF postop FSGF (RC-TJ) 90 11591 IPOGF postop FSGF (RC-TJ) 91 11630 IPOGF postop FSGF (RC-TJ) 92 11671 IPOGF postop FSGF (RC-TJ) 93 11729 IPOGF postop FSGF (RC-TJ) 94 11762 IPOGF postop FSGF (RC-TJ) 95 11800 IPOGF postop FSGF (RC-TJ) 96 11884 IPOGF postop FSGF (RC-TJ) 97 11918 IPOGF postop FSGF (RC-TJ) 98 11924 IPOGF postop FSGF (RC-TJ) 99 11949 IPOGF postop FSGF (RC-TJ) 100 12003 IPOGF postop FSGF (RC-TJ) 101 12036 IPOGF postop FSGF (RC-TJ) 103 12120 IPOGF postop FSGF (RC-TJ) 104 12185 IPOGF postop FSGF (RC-TJ) 105 12196 IPOGF postop FSGF (RC-TJ) 106 12240 IPOGF postop FSGF (RC-TJ) 107 12268 IPOGF postop FSGF (RC-TJ) 108 12292 IPOGF postop FSGF (RC-TJ) 110 12380 IPOGF postop FSGF (RC-TJ) 111 12407 IPOGF postop FSGF (RC-TJ) 112 12431 IPOGF postop FSGF (RC-TJ) 113 12482 IPOGF postop FSGF (RC-TJ) 114 12512 IPOGF postop FSGF (RC-TJ) 115 12540 IPOGF postop FSGF (RC-TJ) 116 12584 IPOGF postop FSGF (RC-TJ) 117 12619 IPOGF postop FSGF (RC-TJ) 119 12671 IPOGF postop FSGF (RC-TJ) 120 12734 IPOGF postop FSGF (RC-TJ) 121 12757 IPOGF postop FSGF (RC-TJ) 122 12776 IPOGF postop FSGF (RC-TJ) 123 12813 IPOGF postop FSGF (RC-TJ) 124 12855 IPOGF postop FSGF (RC-TJ) 125 12874 IPOGF postop FSGF (RC-TJ) 126 12902 IPOGF postop FSGF (RC-TJ) 127 12944 IPOGF postop FSGF (RC-TJ) 128 13007 IPOGF postop FSGF (RC-TJ) 130 13024 IPOGF postop FSGF (RC-TJ) 131 13065 IPOGF postop FSGF (RC-TJ) 132 13082 IPOGF postop FSGF (RC-TJ) 134 13137 IPOGF postop FSGF (RC-TJ) 135 13196 IPOGF postop FSGF (RC-TJ) 136 13216 IPOGF postop FSGF (RC-TJ) 137 13252 IPOGF postop FSGF (RC-TJ) 138 13281 IPOGF postop FSGF (RC-TJ) 139 13306 IPOGF postop FSGF (RC-TJ) 140 13335 IPOGF postop FSGF (RC-TJ) 141 13360 IPOGF postop FSGF (RC-TJ) 142 13387 IPOGF postop FSGF (RC-TJ) 143 13425 IPOGF postop FSGF (RC-TJ) 144 13446 IPOGF postop FSGF (RC-TJ) 145 13472 IPOGF postop FSGF (RC-TJ) 146 13510 IPOGF postop FSGF (RC-TJ) 147 13528 IPOGF postop FSGF (RC-TJ) 148 13558 IPOGF postop FSGF (RC-TJ) 149 13606 IPOGF postop FSGF (RC-TJ) 150 13613 IPOGF postop FSGF (RC-TJ) 151 13638 IPOGF postop FSGF (RC-TJ) 152 13641 IPOGF postop FSGF (RC-TJ) 153 13694 IPOGF postop FSGF (RC-TJ) 154 13720 IPOGF postop FSGF (RC-TJ) 155 13737 IPOGF postop FSGF (RC-TJ) 156 13783 IPOGF postop FSGF (RC-TJ) 157 13810 IPOGF postop FSGF (RC-TJ) 158 13837 IPOGF postop FSGF (RC-TJ) 159 13849 IPOGF postop FSGF (RC-TJ) 161 13875 IPOGF postop FSGF (RC-TJ) 162 13920 IPOGF postop FSGF (RC-TJ) 163 13960 IPOGF postop FSGF (RC-TJ) 2648 15888 Cyclotomy (Colbourn) 2768 16608 Cyclotomy (Colbourn) 2978 17862 Cyclotomy (Colbourn) 3020 18114 Cyclotomy (Colbourn) 3260 19560 Cyclotomy (Colbourn) 3272 19626 Cyclotomy (Colbourn) 3320 19914 Cyclotomy (Colbourn) 3332 19992 Cyclotomy (Colbourn) 3344 20058 Cyclotomy (Colbourn) 3464 20778 Cyclotomy (Colbourn) 3500 20994 Cyclotomy (Colbourn) 3584 21498 Cyclotomy (Colbourn) 3608 21642 Cyclotomy (Colbourn) 3632 21786 Cyclotomy (Colbourn) 3644 21858 Cyclotomy (Colbourn) 3692 22146 Cyclotomy (Colbourn) 3728 22362 Cyclotomy (Colbourn) 3824 22938 Cyclotomy (Colbourn) 3848 23082 Cyclotomy (Colbourn) 3908 23442 Cyclotomy (Colbourn) 3932 23586 Cyclotomy (Colbourn) 3944 23658 Cyclotomy (Colbourn) 4004 24018 Cyclotomy (Colbourn) 4028 24162 Cyclotomy (Colbourn) 6043 24172 Cyclotomy shift (Colbourn) 6607 26428 Cyclotomy shift (Colbourn) 9283 27849 Cyclotomy shift (Colbourn) 9739 29217 Cyclotomy shift (Colbourn) 9883 29649 Cyclotomy shift (Colbourn) 9931 29793 Cyclotomy shift (Colbourn) 10000 30297 Cyclotomy shift (Colbourn)

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