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

Last Updated Wed Sep 11 17:10:53 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;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 1656 cross-sum (CKRS) 7 1844 orthogonal array fuse postop NCK 8 1976 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 6180 Density Cyclic (Colbourn) 25 6330 Density Cyclic (Colbourn) 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) 60 9516 Density Cyclic (Colbourn) 64 9999 Colbourn-Martirosyan-Trung-Walker 65 10398 IPOG-F (NIST) 66 10463 IPOG-F (NIST) 67 10520 IPOG-F (NIST) 68 10578 IPOG-F (NIST) 69 10633 IPOG-F (NIST) 70 10693 IPOG-F (NIST) 71 10745 IPOG-F (NIST) 72 10798 IPOG-F (NIST) 73 10850 IPOG-F (NIST) 74 10909 IPOG-F (NIST) 75 10958 IPOG-F (NIST) 76 11012 IPOG-F (NIST) 77 11057 IPOG-F (NIST) 78 11110 IPOG-F (NIST) 79 11158 IPOG-F (NIST) 80 11203 IPOG-F (NIST) 81 11253 IPOG-F (NIST) 82 11303 IPOG-F (NIST) 83 11353 IPOG-F (NIST) 84 11397 IPOG-F (NIST) 85 11441 IPOG-F (NIST) 86 11484 IPOG-F (NIST) 87 11533 IPOG-F (NIST) 88 11577 IPOG-F (NIST) 89 11625 IPOG-F (NIST) 90 11666 IPOG-F (NIST) 91 11710 IPOG-F (NIST) 92 11753 IPOG-F (NIST) 93 11790 IPOG-F (NIST) 94 11833 IPOG-F (NIST) 95 11874 IPOG-F (NIST) 96 11913 IPOG-F (NIST) 97 11956 IPOG-F (NIST) 98 11997 IPOG-F (NIST) 99 12038 IPOG-F (NIST) 100 12085 IPOG-F (NIST) 101 12120 IPOG-F (NIST) 102 12148 IPOG-F (NIST) 103 12194 IPOG-F (NIST) 104 12231 IPOG-F (NIST) 105 12267 IPOG-F (NIST) 106 12306 IPOG-F (NIST) 107 12343 IPOG-F (NIST) 108 12376 IPOG-F (NIST) 109 12408 IPOG-F (NIST) 110 12445 IPOG-F (NIST) 111 12483 IPOG-F (NIST) 112 12517 IPOG-F (NIST) 113 12553 IPOG-F (NIST) 114 12585 IPOG-F (NIST) 115 12621 IPOG-F (NIST) 116 12651 IPOG-F (NIST) 117 12685 IPOG-F (NIST) 118 12716 IPOG-F (NIST) 119 12749 IPOG-F (NIST) 120 12785 IPOG-F (NIST) 121 12816 IPOG-F (NIST) 122 12850 IPOG-F (NIST) 123 12883 IPOG-F (NIST) 124 12913 IPOG-F (NIST) 125 12945 IPOG-F (NIST) 126 12970 IPOG-F (NIST) 127 13006 IPOG-F (NIST) 128 13036 IPOG-F (NIST) 129 13062 IPOG-F (NIST) 130 13096 IPOG-F (NIST) 131 13127 IPOG-F (NIST) 132 13157 IPOG-F (NIST) 133 13192 IPOG-F (NIST) 134 13215 IPOG-F (NIST) 135 13246 IPOG-F (NIST) 136 13276 IPOG-F (NIST) 137 13304 IPOG-F (NIST) 138 13333 IPOG-F (NIST) 139 13361 IPOG-F (NIST) 140 13390 IPOG-F (NIST) 141 13414 IPOG-F (NIST) 142 13439 IPOG-F (NIST) 143 13470 IPOG-F (NIST) 144 13496 IPOG-F (NIST) 145 13522 IPOG-F (NIST) 146 13555 IPOG-F (NIST) 147 13582 IPOG-F (NIST) 148 13607 IPOG-F (NIST) 149 13634 IPOG-F (NIST) 150 13653 IPOG-F (NIST) 151 13685 IPOG-F (NIST) 152 13710 IPOG-F (NIST) 153 13738 IPOG-F (NIST) 154 13764 IPOG-F (NIST) 155 13786 IPOG-F (NIST) 156 13812 IPOG-F (NIST) 157 13838 IPOG-F (NIST) 158 13862 IPOG-F (NIST) 159 13886 IPOG-F (NIST) 160 13908 IPOG-F (NIST) 161 13932 IPOG-F (NIST) 162 13956 IPOG-F (NIST) 163 13983 IPOG-F (NIST) 2648 15888 Cyclotomy shift (Colbourn) 2768 16608 Cyclotomy shift (Colbourn) 2978 17862 Cyclotomy shift (Colbourn) 3020 18114 Cyclotomy shift (Colbourn) 3260 19560 Cyclotomy shift (Colbourn) 3272 19626 Cyclotomy shift (Colbourn) 3320 19914 Cyclotomy shift (Colbourn) 3332 19992 Cyclotomy shift (Colbourn) 3344 20058 Cyclotomy shift (Colbourn) 3464 20778 Cyclotomy shift (Colbourn) 3500 20994 Cyclotomy shift (Colbourn) 3584 21498 Cyclotomy shift (Colbourn) 3608 21642 Cyclotomy shift (Colbourn) 3632 21786 Cyclotomy shift (Colbourn) 3644 21858 Cyclotomy shift (Colbourn) 3692 22146 Cyclotomy shift (Colbourn) 3728 22362 Cyclotomy shift (Colbourn) 3824 22938 Cyclotomy shift (Colbourn) 3848 23082 Cyclotomy shift (Colbourn) 3908 23442 Cyclotomy shift (Colbourn) 3932 23586 Cyclotomy shift (Colbourn) 3944 23658 Cyclotomy shift (Colbourn) 4004 24018 Cyclotomy shift (Colbourn) 4028 24162 Cyclotomy shift (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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