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

#### 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,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 5 256 Derive from strength 5 6 340 simulated annealing (CKRS) 7 384 CPHF 3-stage (IM-TJ-AJ-AG) 8 416 CPHF 3-stage (IM-TJ-AJ-AG) 9 448 Derive from strength 5 12 496 CPHF 3-stage (IM-TJ-AJ-AG) 17 508 CPHF 3-stage (IM-TJ-AJ-AG) 18 703 CPHF 3-stage (IM-TJ-AJ-AG) 20 748 2-Restricted SCPHF RE (CL) 21 760 SCPHF Random Extension (CLS) 22 870 CPHF 3-stage (IM-TJ-AJ-AG) 23 890 CPHF 3-stage (IM-TJ-AJ-AG) 24 895 CPHF 3-stage (IM-TJ-AJ-AG) 27 943 CPHF 3-stage (IM-TJ-AJ-AG) 30 991 CPHF 3-stage (IM-TJ-AJ-AG) 31 1000 2-Restricted SCPHF RE (CL) 33 1012 CPHF 3-stage (IM-TJ-AJ-AG) 36 1129 CPHF 3-stage (IM-TJ-AJ-AG) 39 1170 CPHF 3-stage (IM-TJ-AJ-AG) 40 1198 CPHF 3-stage (IM-TJ-AJ-AG) 41 1225 CPHF 3-stage (IM-TJ-AJ-AG) 42 1240 2,2-Restricted SCPHF RE (CL) 43 1250 CPHF 3-stage (IM-TJ-AJ-AG) 50 1264 CPHF 3-stage (IM-TJ-AJ-AG) 51 1300 CPHF 3-stage (IM-TJ-AJ-AG) 52 1342 CPHF 3-stage (IM-TJ-AJ-AG) 53 1359 CPHF 3-stage (IM-TJ-AJ-AG) 54 1385 CPHF 3-stage (IM-TJ-AJ-AG) 55 1390 CPHF 3-stage (IM-TJ-AJ-AG) 58 1414 CPHF 3-stage (IM-TJ-AJ-AG) 59 1425 CPHF 3-stage (IM-TJ-AJ-AG) 60 1433 CPHF 3-stage (IM-TJ-AJ-AG) 61 1454 CPHF 3-stage (IM-TJ-AJ-AG) 62 1469 CPHF 3-stage (IM-TJ-AJ-AG) 64 1500 CPHF 3-stage (IM-TJ-AJ-AG) 66 1516 CPHF 3-stage (IM-TJ-AJ-AG) 71 1531 CPHF 3-stage (IM-TJ-AJ-AG) 72 1572 CPHF 3-stage (IM-TJ-AJ-AG) 73 1576 CPHF 3-stage (IM-TJ-AJ-AG) 74 1581 CPHF 3-stage (IM-TJ-AJ-AG) 75 1589 CPHF 3-stage (IM-TJ-AJ-AG) 76 1593 CPHF 3-stage (IM-TJ-AJ-AG) 77 1602 CPHF 3-stage (IM-TJ-AJ-AG) 78 1608 CPHF 3-stage (IM-TJ-AJ-AG) 79 1612 CPHF 3-stage (IM-TJ-AJ-AG) 80 1620 CPHF 3-stage (IM-TJ-AJ-AG) 81 1625 CPHF 3-stage (IM-TJ-AJ-AG) 82 1636 CPHF 3-stage (IM-TJ-AJ-AG) 83 1644 CPHF 3-stage (IM-TJ-AJ-AG) 84 1654 CPHF 3-stage (IM-TJ-AJ-AG) 85 1658 CPHF 3-stage (IM-TJ-AJ-AG) 86 1671 CPHF 3-stage (IM-TJ-AJ-AG) 87 1681 CPHF 3-stage (IM-TJ-AJ-AG) 88 1692 CPHF 3-stage (IM-TJ-AJ-AG) 90 1712 CPHF 3-stage (IM-TJ-AJ-AG) 91 1720 CPHF 3-stage (IM-TJ-AJ-AG) 92 1729 CPHF 3-stage (IM-TJ-AJ-AG) 93 1735 CPHF 3-stage (IM-TJ-AJ-AG) 94 1747 CPHF 3-stage (IM-TJ-AJ-AG) 95 1760 CPHF 3-stage (IM-TJ-AJ-AG) 96 1769 CPHF 3-stage (IM-TJ-AJ-AG) 97 1780 CPHF 3-stage (IM-TJ-AJ-AG) 99 1782 CPHF 3-stage (IM-TJ-AJ-AG) 100 1818 CPHF 3-stage (IM-TJ-AJ-AG) 117 1844 CPHF 3-stage (IM-TJ-AJ-AG) 462 1848 Cyclotomy (Colbourn) 558 2232 Cyclotomy (Colbourn) 614 2452 Cyclotomy (Colbourn) 654 2612 Cyclotomy (Colbourn) 678 2708 Cyclotomy (Colbourn) 702 2804 Cyclotomy (Colbourn) 734 2932 Cyclotomy (Colbourn) 758 3028 Cyclotomy (Colbourn) 774 3092 Cyclotomy (Colbourn) 798 3188 Cyclotomy (Colbourn) 966 3219 CPHF 3-stage (IM-TJ-AJ-AG) 1200 3404 CPHF 3-stage (IM-TJ-AJ-AG) 1320 3583 CPHF 3-stage (IM-TJ-AJ-AG) 1656 3627 CPHF 3-stage (IM-TJ-AJ-AG) 1800 3629 CPHF 3-stage (IM-TJ-AJ-AG) 1928 3687 CPHF 3-stage (IM-TJ-AJ-AG) 2400 3714 CPHF 3-stage (IM-TJ-AJ-AG) 2607 3805 CPHF 3-stage (IM-TJ-AJ-AG) 3600 4019 CPHF 3-stage (IM-TJ-AJ-AG) 4800 4179 CPHF 3-stage (IM-TJ-AJ-AG) 5400 4225 CPHF 3-stage (IM-TJ-AJ-AG) 7200 4410 CPHF 3-stage (IM-TJ-AJ-AG) 8400 4877 CPHF 3-stage (IM-TJ-AJ-AG) 10000 5101 CPHF 3-stage (IM-TJ-AJ-AG)
Graph: