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) 7 448 Derive from strength 5 13 508 Walker-Colbourn 20 760 Walker-Colbourn 31 1012 Walker-Colbourn 42 1264 Walker-Colbourn 43 1607 Density Cyclic (Colbourn) postop NCK 44 1624 Density Cyclic (Colbourn) 45 1636 Density Cyclic (Colbourn) 48 1639 Colbourn-Martirosyan-Trung-Walker 52 1648 Colbourn-Martirosyan-Trung-Walker 53 1752 Density Cyclic (Colbourn) 54 1764 Density Cyclic (Colbourn) 55 1784 Density Cyclic (Colbourn) 56 1792 Density Cyclic (Colbourn) 57 1804 Density Cyclic (Colbourn) 58 1816 Density Cyclic (Colbourn) 59 1828 Density Cyclic (Colbourn) 60 1844 Density Cyclic (Colbourn) 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) 822 3284 Cyclotomy (Colbourn) 830 3316 Cyclotomy (Colbourn) 854 3412 Cyclotomy (Colbourn) 858 3428 Cyclotomy (Colbourn) 878 3508 Cyclotomy (Colbourn) 882 3728 Colbourn-Martirosyan-Trung-Walker 942 3764 Cyclotomy (Colbourn) 1301 3903 Cyclotomy shift (Colbourn) 2069 4138 Cyclotomy shift (Colbourn) 2213 4426 Cyclotomy shift (Colbourn) 2221 4442 Cyclotomy shift (Colbourn) 2237 4474 Cyclotomy shift (Colbourn) 4517 4517 Cyclotomy (Colbourn) 4597 4597 Cyclotomy (Colbourn) 4621 4621 Cyclotomy (Colbourn) 4721 4721 Cyclotomy (Colbourn) 4733 4733 Cyclotomy (Colbourn) 4877 4877 Cyclotomy (Colbourn) 4933 4933 Cyclotomy (Colbourn) 4957 4957 Cyclotomy (Colbourn) 5021 5021 Cyclotomy (Colbourn) 5077 5077 Cyclotomy (Colbourn) 5101 5101 Cyclotomy (Colbourn) 5113 5113 Cyclotomy (Colbourn) 5189 5189 Cyclotomy (Colbourn) 5197 5197 Cyclotomy (Colbourn) 5237 5237 Cyclotomy (Colbourn) 5261 5261 Cyclotomy (Colbourn) 5281 5281 Cyclotomy (Colbourn) 5297 5297 Cyclotomy (Colbourn) 5309 5309 Cyclotomy (Colbourn) 5333 5333 Cyclotomy (Colbourn) 5381 5381 Cyclotomy (Colbourn) 5413 5413 Cyclotomy (Colbourn) 5437 5437 Cyclotomy (Colbourn) 5477 5477 Cyclotomy (Colbourn) 5501 5501 Cyclotomy (Colbourn) 5557 5557 Cyclotomy (Colbourn) 5569 5569 Cyclotomy (Colbourn) 5573 5573 Cyclotomy (Colbourn) 5581 5581 Cyclotomy (Colbourn) 5653 5653 Cyclotomy (Colbourn) 5669 5669 Cyclotomy (Colbourn) 5689 5689 Cyclotomy (Colbourn) 5693 5693 Cyclotomy (Colbourn) 5701 5701 Cyclotomy (Colbourn) 5717 5717 Cyclotomy (Colbourn) 5741 5741 Cyclotomy (Colbourn) 5801 5801 Cyclotomy (Colbourn) 5813 5813 Cyclotomy (Colbourn) 5821 5821 Cyclotomy (Colbourn) 5849 5849 Cyclotomy (Colbourn) 5857 5857 Cyclotomy (Colbourn) 5861 5861 Cyclotomy (Colbourn) 5869 5869 Cyclotomy (Colbourn) 5881 5881 Cyclotomy (Colbourn) 5897 5897 Cyclotomy (Colbourn) 6029 6029 Cyclotomy (Colbourn) 6037 6037 Cyclotomy (Colbourn) 6053 6053 Cyclotomy (Colbourn) 6089 6089 Cyclotomy (Colbourn) 6101 6101 Cyclotomy (Colbourn) 6113 6113 Cyclotomy (Colbourn) 6133 6133 Cyclotomy (Colbourn) 6173 6173 Cyclotomy (Colbourn) 6197 6197 Cyclotomy (Colbourn) 6217 6217 Cyclotomy (Colbourn) 6221 6221 Cyclotomy (Colbourn) 6229 6229 Cyclotomy (Colbourn) 6257 6257 Cyclotomy (Colbourn) 6269 6269 Cyclotomy (Colbourn) 6277 6277 Cyclotomy (Colbourn) 6317 6317 Cyclotomy (Colbourn) 6329 6329 Cyclotomy (Colbourn) 6373 6373 Cyclotomy (Colbourn) 6389 6389 Cyclotomy (Colbourn) 6397 6397 Cyclotomy (Colbourn) 6421 6421 Cyclotomy (Colbourn) 6449 6449 Cyclotomy (Colbourn) 6469 6469 Cyclotomy (Colbourn) 6473 6473 Cyclotomy (Colbourn) 6481 6481 Cyclotomy (Colbourn) 6521 6521 Cyclotomy (Colbourn) 6529 6529 Cyclotomy (Colbourn) 6553 6553 Cyclotomy (Colbourn) 6569 6569 Cyclotomy (Colbourn) 6581 6581 Cyclotomy (Colbourn) 6637 6637 Cyclotomy (Colbourn) 6653 6653 Cyclotomy (Colbourn) 6661 6661 Cyclotomy (Colbourn) 6673 6673 Cyclotomy (Colbourn) 6689 6689 Cyclotomy (Colbourn) 6701 6701 Cyclotomy (Colbourn) 6709 6709 Cyclotomy (Colbourn) 6733 6733 Cyclotomy (Colbourn) 6737 6737 Cyclotomy (Colbourn) 6761 6761 Cyclotomy (Colbourn) 6781 6781 Cyclotomy (Colbourn) 6793 6793 Cyclotomy (Colbourn) 6829 6829 Cyclotomy (Colbourn) 6833 6833 Cyclotomy (Colbourn) 6841 6841 Cyclotomy (Colbourn) 6857 6857 Cyclotomy (Colbourn) 6869 6869 Cyclotomy (Colbourn) 6917 6917 Cyclotomy (Colbourn) 6949 6949 Cyclotomy (Colbourn) 6961 6961 Cyclotomy (Colbourn) 6977 6977 Cyclotomy (Colbourn) 6997 6997 Cyclotomy (Colbourn) 7001 7001 Cyclotomy (Colbourn) 7013 7013 Cyclotomy (Colbourn) 7057 7057 Cyclotomy (Colbourn) 7069 7069 Cyclotomy (Colbourn) 7264 7094 Colbourn-Martirosyan-Trung-Walker 7712 7109 Colbourn-Martirosyan-Trung-Walker 8192 7127 Colbourn-Martirosyan-Trung-Walker 9034 7175 Colbourn-Martirosyan-Trung-Walker 9194 7255 Colbourn-Martirosyan-Trung-Walker 9216 7279 Colbourn-Martirosyan-Trung-Walker 9242 7293 Colbourn-Martirosyan-Trung-Walker 9248 7393 Colbourn-Martirosyan-Trung-Walker 9442 7394 Colbourn-Martirosyan-Trung-Walker 9466 7406 Colbourn-Martirosyan-Trung-Walker 9728 7550 Colbourn-Martirosyan-Trung-Walker 9754 7598 Colbourn-Martirosyan-Trung-Walker 9760 7654 Colbourn-Martirosyan-Trung-Walker 9826 7655 Colbourn-Martirosyan-Trung-Walker 9866 7670 Colbourn-Martirosyan-Trung-Walker 9914 7694 Colbourn-Martirosyan-Trung-Walker 9978 7758 Colbourn-Martirosyan-Trung-Walker 10000 7759 Colbourn-Martirosyan-Trung-Walker
Graph: