Table for CAN(2,k,4) for k up to 20000

Last Updated Tue Mar 8 06:44:32 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;2,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 16 Derive from strength 3 6 19 Fix 1 symbols (Meagher-Stevens) 7 21 simulated annealing (Cohen) 9 22 Fix 2 symbols (LCDST) postop TJ-SA 12 24 simulated annealing (CKRS) 13 25 simulated annealing (CKRS) 15 26 simulated annealing (Torres-Jimenez) 17 27 simulated annealing (Torres-Jimenez) 24 28 PCAx2PCA 27 29 simulated annealing (Torres-Jimenez) 30 30 simulated annealing (Torres-Jimenez) 35 31 simulated annealing (Torres-Jimenez) 48 32 simulated annealing (Torres-Jimenez) 49 33 simulated annealing (Torres-Jimenez) 50 34 simulated annealing (Torres-Jimenez) 57 35 simulated annealing (Torres-Jimenez) 66 36 simulated annealing (Torres-Jimenez) 72 37 simulated annealing (Torres-Jimenez) 83 38 simulated annealing (Torres-Jimenez) 103 39 simulated annealing (Torres-Jimenez) 133 40 simulated annealing (Torres-Jimenez) 139 41 simulated annealing (Torres-Jimenez) 148 42 simulated annealing (Torres-Jimenez) 170 43 PCAxPCA postop TJ-SA 231 44 PCAx2PCA 237 45 PCAx2PCA 241 46 PCAx2PCA 279 47 PCAx2PCA 338 48 simulated annealing (Torres-Jimenez) 360 49 simulated annealing (Torres-Jimenez) 412 50 simulated annealing (Torres-Jimenez) 503 51 simulated annealing (Torres-Jimenez) 652 52 simulated annealing (Torres-Jimenez) 664 53 simulated annealing (Torres-Jimenez) 749 54 simulated annealing (Torres-Jimenez) 950 55 simulated annealing (Torres-Jimenez) 1134 56 PCAxPCA 1251 57 PCAxPCA 1377 58 PCAxPCA 1626 59 PCAxPCA 2223 60 PCAxPCA 2280 61 PCAxPCA 2337 62 PCAxPCA 2655 63 PCAxPCA 3136 64 PCAx2PCA 3431 65 PCAxPCA 3804 66 PCAxPCA 4647 67 PCAxPCA 6096 68 PCAxPCA 6321 69 PCAxPCA 6690 70 PCAxPCA 7896 71 PCAxPCA 10737 72 PCAxPCA 11025 73 PCAxPCA 11301 74 PCAxPCA 12960 75 PCAxPCA 16665 76 PCAxPCA 17239 77 PCAxPCA 19065 78 PCAxPCA 20000 79 PCAx2PCA

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