Table for CAN(3,k,8) for k up to 10000

Last Updated Fri Nov 15 21:02:44 MST 2019

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;3,k,8) 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 10 512 orthogonal array 18 960 Chateauneuf-Kreher doubling 64 1016 SCPHF Conditional Expectation (CLS) 73 1023 Raaphorst-Moura-Stevens 75 1447 SCPHF LFSR (TJ-IM) fuse 91 1455 Raaphorst-Moura-Stevens fuse 110 1520 SCPHF Conditional Expectation (CLS) 117 1534 CPHF Sim Annealing (TJ-IM) 194 1552 Cyclotomy (Colbourn) 200 1912 Path-Restricted SCPHF RE (CLS) 242 1936 Cyclotomy (Colbourn) 290 2024 SCPHF Conditional Expectation (CLS) 302 2045 CPHF Sim Annealing (TJ-IM) 512 2304 Colbourn-Martirosyan-TVT-Walker 514 2310 Cohen-Colbourn-Ling 584 2311 Colbourn-Martirosyan-TVT-Walker 586 2317 Cohen-Colbourn-Ling 640 2492 Cohen-Colbourn-Ling 736 2528 SCPHF Conditional Expectation (CLS) 760 2556 CPHF Random Extension (CLS) 810 2752 Path-Restricted SCPHF RE (CLS) 951 2808 Path-Restricted SCPHF RE (CLS) 1046 2864 Path-Restricted SCPHF RE (CLS) 1215 2920 Path-Restricted SCPHF RE (CLS) 1370 2976 Path-Restricted SCPHF RE (CLS) 1859 3032 SCPHF Conditional Expectation (CLS) 1939 3256 Path-Restricted SCPHF RE (CLS) 2278 3312 Path-Restricted SCPHF RE (CLS) 2503 3368 Path-Restricted SCPHF RE (CLS) 2863 3424 Path-Restricted SCPHF RE (CLS) 3265 3480 Path-Restricted SCPHF RE (CLS) 4746 3536 SCPHF Conditional Expectation (CLS) 5277 3816 Path-Restricted SCPHF RE (CLS) 5329 3836 Cohen-Colbourn-Ling 6000 3872 Path-Restricted SCPHF RE (CLS) 6814 3928 Path-Restricted SCPHF RE (CLS) 7733 3984 Path-Restricted SCPHF RE (CLS) 9154 4040 SCPHF Random Extension (CLS) 10000 4089 CPHF Random Extension (CLS)

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