Table for CAN(3,k,14) 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;3,k,14) 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 4 2744 orthogonal array 5 2842 Li-Ji-Yin 6 2940 Ji-Yin 7 3471 Chateauneuf-Kreher Const D 8 3653 Chateauneuf-Kreher Const D 14 3654 simulated annealing (Cohen) 18 4092 fuse symbols 20 6849 fuse symbols 28 6917 Chateauneuf-Kreher doubling 34 7355 Chateauneuf-Kreher doubling 36 7381 Chateauneuf-Kreher doubling 38 10138 Chateauneuf-Kreher doubling 56 10238 Cohen-Colbourn-Ling 70 10336 Cohen-Colbourn-Ling 84 10434 Cohen-Colbourn-Ling 96 10620 Colbourn-Martirosyan-Trung-Walker 102 10872 Cohen-Colbourn-Ling 112 11147 Cohen-Colbourn-Ling 196 11148 Cohen-Colbourn-Ling 224 11334 Colbourn-Martirosyan-Trung-Walker 238 11586 Cohen-Colbourn-Ling 272 11772 fuse symbols 288 12222 fuse symbols 306 13340 fuse symbols 322 15866 Cohen-Colbourn-Ling 368 16052 Colbourn-Martirosyan-Trung-Walker 392 16886 Cohen-Colbourn-Ling 448 17072 Colbourn-Martirosyan-Trung-Walker 464 17735 Colbourn-Martirosyan-Trung-Walker 476 17930 Chateauneuf-Kreher doubling 480 17960 Colbourn-Martirosyan-Trung-Walker 544 18116 Chateauneuf-Kreher doubling 576 18566 Chateauneuf-Kreher doubling 578 19127 Cohen-Colbourn-Ling 612 19153 Cohen-Colbourn-Ling 648 20053 Cohen-Colbourn-Ling 784 21332 Cohen-Colbourn-Ling 980 21430 Cohen-Colbourn-Ling 1176 21528 Cohen-Colbourn-Ling 1344 21714 Colbourn-Martirosyan-Trung-Walker 1536 21900 Colbourn-Martirosyan-Trung-Walker 1632 22152 Colbourn-Martirosyan-Trung-Walker 2744 22242 Cohen-Colbourn-Ling 3136 22428 Colbourn-Martirosyan-Trung-Walker 3584 22614 Colbourn-Martirosyan-Trung-Walker 3808 22866 Colbourn-Martirosyan-Trung-Walker 4352 23052 fuse symbols 4608 23502 fuse symbols 4914 24547 linear hash family 5202 26940 fuse symbols 5472 28262 Colbourn-Martirosyan-Trung-Walker 5776 28292 Colbourn-Martirosyan-Trung-Walker 5888 28787 Colbourn-Martirosyan-Trung-Walker 5904 29621 Colbourn-Martirosyan-Trung-Walker 5984 29681 Colbourn-Martirosyan-Trung-Walker 6256 29696 Colbourn-Martirosyan-Trung-Walker 6272 30071 Colbourn-Martirosyan-Trung-Walker 6992 30287 Colbourn-Martirosyan-Trung-Walker 7168 30827 Colbourn-Martirosyan-Trung-Walker 7424 31490 Colbourn-Martirosyan-Trung-Walker 7600 31685 Colbourn-Martirosyan-Trung-Walker 7616 31910 Colbourn-Martirosyan-Trung-Walker 7680 31940 Colbourn-Martirosyan-Trung-Walker 7872 32096 Colbourn-Martirosyan-Trung-Walker 8144 32321 Colbourn-Martirosyan-Trung-Walker 8512 32351 Colbourn-Martirosyan-Trung-Walker 8704 32477 Chateauneuf-Kreher doubling 9216 32927 Chateauneuf-Kreher doubling 9248 33728 Cohen-Colbourn-Ling 9728 33972 Chateauneuf-Kreher doubling 9828 33998 Chateauneuf-Kreher doubling 10000 34483 Cohen-Colbourn-Ling

Graph: