Table for CAN(3,k,7) 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,7) 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 8 343 orthogonal array 9 472 simulated annealing (CKRS) 10 479 simulated annealing (CKRS) 16 637 Chateauneuf-Kreher doubling 45 679 SCPHF LFSR (TJ-IM) 57 685 Raaphorst-Moura-Stevens 58 979 Add a factor 64 1014 SCPHF Conditional Expectation (CLS) fuse 90 1015 SCPHF Sim Annealing (TJ-IM) 94 1027 CPHF Sim Annealing (TJ-IM) 170 1183 Cyclotomy (Torres-Jimenez) 183 1309 Path-Restricted SCPHF RE (CLS) 227 1351 SCPHF Conditional Expectation (CLS) 237 1369 CPHF Sim Annealing (TJ-IM) 315 1519 Colbourn-Martirosyan-TVT-Walker 316 1524 Cohen-Colbourn-Ling 399 1525 Colbourn-Martirosyan-TVT-Walker 400 1566 Cohen-Colbourn-Ling 440 1645 Restricted CPHF Ext 5( 1, 5) WCS 446 1651 Restricted CPHF Ext 5( 1, 4) WCS 451 1657 Restricted CPHF Ext 5( 1, 3) WCS 456 1663 Restricted CPHF Ext 5( 1, 2) WCS 560 1687 Restricted CPHF Ext 5( 0, 5) WCS 567 1693 Restricted CPHF Ext 5( 0, 4) WCS 577 1699 Restricted CPHF Ext 5( 0, 3) WCS 585 1705 Restricted CPHF Ext 5( 0, 2) WCS 600 1711 Restricted CPHF Ext 5( 0, 0) WCS 695 1855 Restricted CPHF Ext 6( 4, 6) WCS 829 1897 Restricted CPHF Ext 6( 3, 6) WCS 837 1903 Restricted CPHF Ext 6( 3, 5) WCS 851 1909 Restricted CPHF Ext 6( 3, 4) WCS 1002 1939 Restricted CPHF Ext 6( 2, 6) WCS 1015 1945 Restricted CPHF Ext 6( 2, 5) WCS 1026 1951 Restricted CPHF Ext 6( 2, 4) WCS 1037 1957 Restricted CPHF Ext 6( 2, 3) WCS 1151 1981 Restricted CPHF Ext 6( 1, 6) WCS 1168 1987 Restricted CPHF Ext 6( 1, 5) WCS 1185 1993 Restricted CPHF Ext 6( 1, 4) WCS 1204 1999 Restricted CPHF Ext 6( 1, 3) WCS 1214 2005 Restricted CPHF Ext 6( 1, 2) WCS 1473 2023 Restricted CPHF Ext 6( 0, 6) WCS 1504 2029 Restricted CPHF Ext 6( 0, 5) WCS 1517 2035 Restricted CPHF Ext 6( 0, 4) WCS 1534 2041 Restricted CPHF Ext 6( 0, 3) WCS 1556 2047 Restricted CPHF Ext 6( 0, 2) WCS 1594 2053 Restricted CPHF Ext 6( 0, 0) WCS 1739 2191 Restricted CPHF Ext 7( 4, 7) WCS 1786 2197 Restricted CPHF Ext 7( 4, 6) WCS 1816 2203 Restricted CPHF Ext 7( 4, 5) WCS 2077 2233 Restricted CPHF Ext 7( 3, 7) WCS 2117 2239 Restricted CPHF Ext 7( 3, 6) WCS 2159 2245 Restricted CPHF Ext 7( 3, 5) WCS 2180 2251 Restricted CPHF Ext 7( 3, 4) WCS 2448 2275 Restricted CPHF Ext 7( 2, 7) WCS 2483 2281 Restricted CPHF Ext 7( 2, 6) WCS 2530 2287 Restricted CPHF Ext 7( 2, 5) WCS 2565 2293 Restricted CPHF Ext 7( 2, 4) WCS 2614 2299 Restricted CPHF Ext 7( 2, 3) WCS 2814 2317 Restricted CPHF Ext 7( 1, 7) WCS 2874 2323 Restricted CPHF Ext 7( 1, 6) WCS 2901 2329 Restricted CPHF Ext 7( 1, 5) WCS 2949 2335 Restricted CPHF Ext 7( 1, 4) WCS 3003 2341 Restricted CPHF Ext 7( 1, 3) WCS 3040 2347 Restricted CPHF Ext 7( 1, 2) WCS 3739 2359 Restricted CPHF Ext 7( 0, 7) WCS 3753 2365 Restricted CPHF Ext 7( 0, 6) WCS 3767 2371 Restricted CPHF Ext 7( 0, 5) WCS 3805 2377 Restricted CPHF Ext 7( 0, 4) WCS 3853 2383 Restricted CPHF Ext 7( 0, 3) WCS 3928 2389 Restricted CPHF Ext 7( 0, 2) WCS 4113 2395 CPHF IPO 7 (WCS) 4255 2527 Restricted CPHF Ext 8( 4, 8) WCS 4286 2533 Restricted CPHF Ext 8( 4, 7) WCS 4381 2539 Restricted CPHF Ext 8( 4, 6) WCS 4539 2545 Restricted CPHF Ext 8( 4, 5) WCS 5005 2569 Restricted CPHF Ext 8( 3, 8) WCS 5068 2575 Restricted CPHF Ext 8( 3, 7) WCS 5126 2581 Restricted CPHF Ext 8( 3, 6) WCS 5239 2587 Restricted CPHF Ext 8( 3, 5) WCS 5358 2593 Restricted CPHF Ext 8( 3, 4) WCS 5893 2611 Restricted CPHF Ext 8( 2, 8) WCS 6012 2617 Restricted CPHF Ext 8( 2, 7) WCS 6065 2623 Restricted CPHF Ext 8( 2, 6) WCS 6251 2629 Restricted CPHF Ext 8( 2, 5) WCS 6351 2635 Restricted CPHF Ext 8( 2, 4) WCS 6505 2641 Restricted CPHF Ext 8( 2, 3) WCS 6802 2653 Restricted CPHF Ext 8( 1, 8) WCS 6856 2659 Restricted CPHF Ext 8( 1, 7) WCS 6972 2665 Restricted CPHF Ext 8( 1, 6) WCS 7169 2671 Restricted CPHF Ext 8( 1, 5) WCS 7351 2677 Restricted CPHF Ext 8( 1, 4) WCS 7357 2683 Restricted CPHF Ext 8( 1, 3) WCS 7480 2689 Restricted CPHF Ext 8( 1, 2) WCS 8924 2695 Restricted CPHF Ext 8( 0, 8) WCS 8952 2701 Restricted CPHF Ext 8( 0, 7) WCS 8989 2707 Restricted CPHF Ext 8( 0, 6) WCS 9060 2713 Restricted CPHF Ext 8( 0, 5) WCS 9152 2719 Restricted CPHF Ext 8( 0, 4) WCS 9211 2725 Restricted CPHF Ext 8( 0, 3) WCS 9382 2731 Restricted CPHF Ext 8( 0, 2) WCS 10000 2737 CPHF IPO 8 (WCS)

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