Table for CAN(3,k,10) for k up to 10000

Last Updated Thu Jan 5 06:12:57 MST 2012

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,10) 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 1000 Derive from strength 4 5 1050 Li-Ji-Yin 6 1100 Ji-Yin 10 1215 ordered design (CCL) 11 1295 orthogonal array fuse postop NCK 12 1303 orthogonal array fuse postop NCK 13 1865 orthogonal array fuse fuse fuse postop NCK 14 1895 orthogonal array fuse fuse fuse postop NCK 18 2250 Chateauneuf-Kreher doubling 20 2259 Chateauneuf-Kreher doubling 22 2339 Chateauneuf-Kreher doubling 24 2356 Chateauneuf-Kreher doubling 30 2584 Sherwood-Martirosyan-Colbourn fuse postop NCK 50 2630 Sherwood-Martirosyan-Colbourn fuse postop NCK 60 3437 Cohen-Colbourn-Ling 66 3517 Cohen-Colbourn-Ling 72 3525 Cohen-Colbourn-Ling 110 3635 Colbourn-Martirosyan-Trung-Walker 121 3715 Colbourn-Martirosyan-Trung-Walker 132 3723 Colbourn-Martirosyan-Trung-Walker 144 3893 Cohen-Colbourn-Ling 146 3969 Sherwood-Martirosyan-Colbourn fuse 398 4376 Cyclotomy (Colbourn) fuse 419 4607 Cyclotomy (Colbourn) fuse 522 5210 Cyclotomy (Colbourn) 542 5410 Cyclotomy (Colbourn) 572 5710 Cyclotomy (Colbourn) 602 6010 Cyclotomy (Colbourn) 632 6310 Cyclotomy (Colbourn) 641 6410 Cyclotomy (Colbourn) 662 6610 Cyclotomy (Colbourn) 692 6910 Cyclotomy (Colbourn) 720 6962 Cohen-Colbourn-Ling 776 6995 Chateauneuf-Kreher doubling 796 7004 Chateauneuf-Kreher doubling 840 7050 Cohen-Colbourn-Ling 864 7072 Cohen-Colbourn-Ling 1210 7155 Colbourn-Martirosyan-Trung-Walker 1331 7235 Colbourn-Martirosyan-Trung-Walker 1452 7243 Colbourn-Martirosyan-Trung-Walker 1584 7413 Cohen-Colbourn-Ling 1728 7583 Cohen-Colbourn-Ling 1752 7681 Cohen-Colbourn-Ling 1848 8088 Cohen-Colbourn-Ling 2004 8099 Cohen-Colbourn-Ling 2028 8110 Cohen-Colbourn-Ling 2040 8209 Cohen-Colbourn-Ling 2052 8264 Cohen-Colbourn-Ling 2076 8275 Cohen-Colbourn-Ling 2184 8286 Cohen-Colbourn-Ling 2280 8352 Cohen-Colbourn-Ling 2340 8363 Cohen-Colbourn-Ling 2448 8429 Cohen-Colbourn-Ling 2460 8451 Cohen-Colbourn-Ling 2508 8462 Cohen-Colbourn-Ling 2652 8506 Cohen-Colbourn-Ling 2664 8528 Cohen-Colbourn-Ling 2808 8539 Cohen-Colbourn-Ling 2880 8561 Cohen-Colbourn-Ling 3120 8594 Cohen-Colbourn-Ling 3288 8671 Cohen-Colbourn-Ling 3432 8715 Cohen-Colbourn-Ling 3456 8759 Cohen-Colbourn-Ling 3588 8770 Cohen-Colbourn-Ling 3880 8792 Cohen-Colbourn-Ling 3980 8803 Cohen-Colbourn-Ling 3996 8869 Cohen-Colbourn-Ling 4268 8872 Cohen-Colbourn-Ling 4656 8880 Cohen-Colbourn-Ling 4776 8891 Cohen-Colbourn-Ling 5028 9122 Cohen-Colbourn-Ling 5220 9725 Cohen-Colbourn-Ling 5256 9769 Cohen-Colbourn-Ling 5328 9780 Cohen-Colbourn-Ling 5616 9791 Cohen-Colbourn-Ling 5736 9802 Cohen-Colbourn-Ling 5742 9805 Cohen-Colbourn-Ling 6264 9813 Cohen-Colbourn-Ling 6504 10013 Cohen-Colbourn-Ling 6864 10313 Cohen-Colbourn-Ling 7056 10613 Cohen-Colbourn-Ling 7224 10624 Cohen-Colbourn-Ling 7248 10924 Cohen-Colbourn-Ling 7584 10935 Cohen-Colbourn-Ling 7692 11035 Cohen-Colbourn-Ling 7944 11235 Cohen-Colbourn-Ling 8008 11505 Cohen-Colbourn-Ling 8304 11535 Cohen-Colbourn-Ling 8640 11587 Cohen-Colbourn-Ling 9312 11620 Cohen-Colbourn-Ling 9384 11629 Cohen-Colbourn-Ling 9552 11640 Cohen-Colbourn-Ling 9684 11686 Cohen-Colbourn-Ling 10000 11697 Cohen-Colbourn-Ling

Graph: