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

Last Updated Sun Jun 26 08:57:56 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;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 623 2472 Restricted CPHF Ext 5( 1, 5) WCS 627 2479 Restricted CPHF Ext 5( 1, 4) WCS 637 2486 Restricted CPHF Ext 5( 1, 3) WCS 640 2492 Cohen-Colbourn-Ling 644 2493 Restricted CPHF Ext 5( 1, 2) WCS 793 2528 Restricted CPHF Ext 5( 0, 5) WCS 813 2535 Restricted CPHF Ext 5( 0, 4) WCS 823 2542 Restricted CPHF Ext 5( 0, 3) WCS 841 2556 CPHF IPO 5 (WCS) 1001 2808 Restricted CPHF Ext 6( 4, 6) WCS 1004 2815 Restricted CPHF Ext 6( 4, 5) WCS 1223 2864 Restricted CPHF Ext 6( 3, 6) WCS 1226 2871 Restricted CPHF Ext 6( 3, 5) WCS 1258 2878 Restricted CPHF Ext 6( 3, 4) WCS 1481 2920 Restricted CPHF Ext 6( 2, 6) WCS 1501 2927 Restricted CPHF Ext 6( 2, 5) WCS 1524 2934 Restricted CPHF Ext 6( 2, 4) WCS 1557 2941 Restricted CPHF Ext 6( 2, 3) WCS 1734 2976 Restricted CPHF Ext 6( 1, 6) WCS 1750 2983 Restricted CPHF Ext 6( 1, 5) WCS 1759 2990 Restricted CPHF Ext 6( 1, 4) WCS 1776 2997 Restricted CPHF Ext 6( 1, 3) WCS 1789 3004 Restricted CPHF Ext 6( 1, 2) WCS 2234 3032 Restricted CPHF Ext 6( 0, 6) WCS 2259 3039 Restricted CPHF Ext 6( 0, 5) WCS 2276 3046 Restricted CPHF Ext 6( 0, 4) WCS 2313 3053 Restricted CPHF Ext 6( 0, 3) WCS 2331 3060 Restricted CPHF Ext 6( 0, 2) WCS 2409 3067 CPHF IPO 6 (WCS) 2725 3312 Restricted CPHF Ext 7( 4, 7) WCS 2795 3319 Restricted CPHF Ext 7( 4, 6) WCS 2833 3326 Restricted CPHF Ext 7( 4, 5) WCS 3212 3368 Restricted CPHF Ext 7( 3, 7) WCS 3288 3375 Restricted CPHF Ext 7( 3, 6) WCS 3385 3382 Restricted CPHF Ext 7( 3, 5) WCS 3404 3389 Restricted CPHF Ext 7( 3, 4) WCS 3846 3424 Restricted CPHF Ext 7( 2, 7) WCS 3894 3431 Restricted CPHF Ext 7( 2, 6) WCS 3946 3438 Restricted CPHF Ext 7( 2, 5) WCS 4023 3445 Restricted CPHF Ext 7( 2, 4) WCS 4063 3452 Restricted CPHF Ext 7( 2, 3) WCS 4533 3480 Restricted CPHF Ext 7( 1, 7) WCS 4549 3487 Restricted CPHF Ext 7( 1, 6) WCS 4635 3494 Restricted CPHF Ext 7( 1, 5) WCS 4650 3501 Restricted CPHF Ext 7( 1, 4) WCS 4683 3508 Restricted CPHF Ext 7( 1, 3) WCS 4807 3515 Restricted CPHF Ext 7( 1, 2) WCS 6086 3536 Restricted CPHF Ext 7( 0, 7) WCS 6102 3543 Restricted CPHF Ext 7( 0, 6) WCS 6123 3550 Restricted CPHF Ext 7( 0, 5) WCS 6143 3557 Restricted CPHF Ext 7( 0, 4) WCS 6156 3564 Restricted CPHF Ext 7( 0, 3) WCS 6203 3571 Restricted CPHF Ext 7( 0, 2) WCS 6522 3578 CPHF IPO 7 (WCS) 7003 3816 Restricted CPHF Ext 8( 4, 8) WCS 7129 3823 Restricted CPHF Ext 8( 4, 7) WCS 7288 3830 Restricted CPHF Ext 8( 4, 6) WCS 7440 3837 Restricted CPHF Ext 8( 4, 5) WCS 8013 3872 Restricted CPHF Ext 8( 3, 8) WCS 8434 3879 Restricted CPHF Ext 8( 3, 7) WCS 8657 3886 Restricted CPHF Ext 8( 3, 6) WCS 8770 3893 Restricted CPHF Ext 8( 3, 5) WCS 8918 3900 Restricted CPHF Ext 8( 3, 4) WCS 10000 3928 Restricted CPHF Ext 8( 2, 8) WCS

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