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

Last Updated Tue Mar 8 09:01:41 MST 2022

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 SCPHF Tabu Search (Walker-Colbourn) fuse postop NCK 14 4080 SCPHF Tabu Search (Walker-Colbourn) fuse postop NCK 15 4132 SCPHF Tabu Search (Walker-Colbourn) fuse postop NCK 16 4203 SCPHF Tabu Search (Walker-Colbourn) fuse postop NCK 17 4259 SCPHF Tabu Search (Walker-Colbourn) fuse postop NCK 18 4315 SCPHF Tabu Search (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) 30 6851 3-Restricted SCPHF RE (CL) fuse 32 7023 SCPHF Conditional Expectation (CLS) postop NCK 33 7145 2-Restricted SCPHF RE (CL) fuse 34 7187 SCPHF Random Extension (CLS) fuse 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) 64 9599 CPHF IPO 4 (WCS) fuse 65 9810 Density Cyclic (Colbourn) 70 10092 Density Cyclic (Colbourn) 71 10676 IPOGF postop MPO (TJ-RC) 72 10744 IPOGF postop MPO (TJ-RC) 73 10758 IPOGF postop MPO (TJ-RC) 74 10821 IPOGF postop MPO (TJ-RC) 75 10882 IPOGF postop MPO (TJ-RC) 76 10959 IPOGF postop MPO (TJ-RC) 77 10992 IPOGF postop MPO (TJ-RC) 78 11017 IPOGF postop MPO (TJ-RC) 79 11100 IPOGF postop MPO (TJ-RC) 80 11121 IPOGF postop MPO (TJ-RC) 81 11187 IPOGF postop MPO (TJ-RC) 82 11219 IPOGF postop MPO (TJ-RC) 83 11282 IPOGF postop MPO (TJ-RC) 84 11319 IPOGF postop MPO (TJ-RC) 85 11384 IPOGF postop MPO (TJ-RC) 86 11407 IPOGF postop MPO (TJ-RC) 87 11478 IPOGF postop MPO (TJ-RC) 88 11504 IPOGF postop MPO (TJ-RC) 89 11581 IPOGF postop MPO (TJ-RC) 90 11591 IPOGF postop MPO (TJ-RC) 91 11630 IPOGF postop MPO (TJ-RC) 92 11671 IPOGF postop MPO (TJ-RC) 93 11729 IPOGF postop MPO (TJ-RC) 94 11762 IPOGF postop MPO (TJ-RC) 95 11800 IPOGF postop MPO (TJ-RC) 96 11884 IPOGF postop MPO (TJ-RC) 99 11891 2,2-Restricted SCPHF RE (CL) fuse 117 11999 CPHF IPO 5 (WCS) fuse 119 12671 IPOGF postop MPO (TJ-RC) 120 12734 IPOGF postop MPO (TJ-RC) 121 12757 IPOGF postop MPO (TJ-RC) 122 12776 IPOGF postop MPO (TJ-RC) 123 12813 IPOGF postop MPO (TJ-RC) 124 12855 IPOGF postop MPO (TJ-RC) 125 12874 IPOGF postop MPO (TJ-RC) 126 12902 IPOGF postop MPO (TJ-RC) 127 12944 IPOGF postop MPO (TJ-RC) 128 13007 IPOGF postop MPO (TJ-RC) 130 13024 IPOGF postop MPO (TJ-RC) 131 13065 IPOGF postop MPO (TJ-RC) 132 13082 IPOGF postop MPO (TJ-RC) 134 13137 IPOGF postop MPO (TJ-RC) 135 13196 IPOGF postop MPO (TJ-RC) 136 13216 IPOGF postop MPO (TJ-RC) 137 13252 IPOGF postop MPO (TJ-RC) 138 13281 IPOGF postop MPO (TJ-RC) 139 13306 IPOGF postop MPO (TJ-RC) 140 13335 IPOGF postop MPO (TJ-RC) 141 13360 IPOGF postop MPO (TJ-RC) 142 13387 IPOGF postop MPO (TJ-RC) 143 13425 IPOGF postop MPO (TJ-RC) 144 13446 IPOGF postop MPO (TJ-RC) 145 13472 IPOGF postop MPO (TJ-RC) 146 13510 IPOGF postop MPO (TJ-RC) 147 13528 IPOGF postop MPO (TJ-RC) 148 13558 IPOGF postop MPO (TJ-RC) 149 13606 IPOGF postop MPO (TJ-RC) 150 13613 IPOGF postop MPO (TJ-RC) 151 13638 IPOGF postop MPO (TJ-RC) 152 13641 IPOGF postop MPO (TJ-RC) 153 13694 IPOGF postop MPO (TJ-RC) 154 13720 IPOGF postop MPO (TJ-RC) 155 13737 IPOGF postop MPO (TJ-RC) 156 13783 IPOGF postop MPO (TJ-RC) 157 13810 IPOGF postop MPO (TJ-RC) 158 13837 IPOGF postop MPO (TJ-RC) 159 13849 IPOGF postop MPO (TJ-RC) 161 13875 IPOGF postop MPO (TJ-RC) 162 13920 IPOGF postop MPO (TJ-RC) 163 13960 IPOGF postop MPO (TJ-RC) 166 14327 2-Restricted SCPHF RE (CL) fuse 174 14369 SCPHF Conditional Expectation (CLS) fuse 225 14399 CPHF IPO 6 (WCS) fuse 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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