Table for CAN(3,k,20) 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,20) 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 6 8000 orthogonal array (Ji-Yin) 11 8930 ordered design (CCL) 12 9500 ordered design (CCL) 14 9690 ordered design (CCL) 16 9880 ordered design (CCL) 20 10070 ordered design (CCL) 21 11992 orthogonal array fuse fuse fuse postop NCK 22 12016 orthogonal array fuse fuse fuse postop NCK 23 12029 orthogonal array fuse fuse fuse postop NCK 24 12056 orthogonal array fuse fuse fuse postop NCK 26 15219 orthogonal array fuse fuse fuse fuse fuse postop NCK 28 19133 Chateauneuf-Kreher doubling 30 19361 Chateauneuf-Kreher doubling 32 19380 Chateauneuf-Kreher doubling 34 19589 Chateauneuf-Kreher doubling 36 19817 Chateauneuf-Kreher doubling 38 19836 Chateauneuf-Kreher doubling 40 20045 Chateauneuf-Kreher doubling 42 21606 Chateauneuf-Kreher doubling 44 21649 Chateauneuf-Kreher doubling 46 21681 Chateauneuf-Kreher doubling 48 21765 Chateauneuf-Kreher doubling 50 24947 Chateauneuf-Kreher doubling 52 25042 Chateauneuf-Kreher doubling 56 27133 Cohen-Colbourn-Ling 60 27361 Cohen-Colbourn-Ling 64 27380 Cohen-Colbourn-Ling 68 27589 Cohen-Colbourn-Ling 72 27817 Cohen-Colbourn-Ling 76 27836 Cohen-Colbourn-Ling 80 28045 Cohen-Colbourn-Ling 85 28591 Cohen-Colbourn-Ling 90 28823 Cohen-Colbourn-Ling 95 28844 Cohen-Colbourn-Ling 96 28880 Cohen-Colbourn-Ling 100 29055 Cohen-Colbourn-Ling 102 29092 Cohen-Colbourn-Ling 108 29326 Cohen-Colbourn-Ling 114 29348 Cohen-Colbourn-Ling 121 29498 Cohen-Colbourn-Ling 132 30068 Cohen-Colbourn-Ling 154 30258 Cohen-Colbourn-Ling 176 30448 Cohen-Colbourn-Ling 187 30638 Cohen-Colbourn-Ling 209 30828 Cohen-Colbourn-Ling 220 31018 Cohen-Colbourn-Ling 224 31208 Cohen-Colbourn-Ling 256 31398 Cohen-Colbourn-Ling 272 31588 Cohen-Colbourn-Ling 304 31778 Cohen-Colbourn-Ling 323 31968 Cohen-Colbourn-Ling 361 32158 Cohen-Colbourn-Ling 380 32348 Cohen-Colbourn-Ling 400 32538 Cohen-Colbourn-Ling 437 33536 Colbourn-Martirosyan-Trung-Walker 460 33726 Colbourn-Martirosyan-Trung-Walker 480 34144 Cohen-Colbourn-Ling 483 35268 Colbourn-Martirosyan-Trung-Walker 506 35292 Colbourn-Martirosyan-Trung-Walker 529 35305 Colbourn-Martirosyan-Trung-Walker 552 35332 Colbourn-Martirosyan-Trung-Walker 1802 36040 Cyclotomy (Colbourn) 1861 37220 Cyclotomy (Colbourn) 2142 42840 Cyclotomy (Colbourn) 2162 43220 Cyclotomy (Colbourn) 2221 44420 Cyclotomy (Colbourn) 2342 46820 Cyclotomy (Colbourn) 2381 47620 Cyclotomy (Colbourn) 2522 50440 Cyclotomy (Colbourn) 2621 52420 Cyclotomy (Colbourn) 2732 57370 Cyclotomy (Colbourn) fuse 2926 58894 Power N-CT19^3T8T5 3344 59084 Power N-CT19^3T8T3 3971 59274 Power N-CT19^3T8 4332 59844 Power N-CT19^3T7 5054 60034 Power N-CT19^3T5 5776 60224 Power N-CT19^3T3 6860 60414 Power N-CT19^3+1 7220 65378 Cohen-Colbourn-Ling 7600 65568 Cohen-Colbourn-Ling 8000 65758 Cohen-Colbourn-Ling 8303 66566 Colbourn-Martirosyan-Trung-Walker 8740 66756 Colbourn-Martirosyan-Trung-Walker 9200 66946 Colbourn-Martirosyan-Trung-Walker 9600 67364 Cohen-Colbourn-Ling 10000 67944 Colbourn-Martirosyan-Trung-Walker

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