Table for CAN(3,k,16) for k up to 10000

Last Updated Sat Nov 14 06:41:39 MST 2009

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,16) 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 18 4096 orthogonal array 20 6735 orthogonal array fuse fuse fuse postop NCK 34 7936 Chateauneuf-Kreher doubling 36 8386 Chateauneuf-Kreher doubling 38 11055 Chateauneuf-Kreher doubling 272 11776 Colbourn-Martirosyan-Trung-Walker 288 12226 Colbourn-Martirosyan-Trung-Walker 306 13344 Colbourn-Martirosyan-Trung-Walker 320 15750 Colbourn-Martirosyan-Trung-Walker 324 16380 Power 18^2 336 16981 Colbourn-Martirosyan-Trung-Walker 352 16996 Colbourn-Martirosyan-Trung-Walker 368 17041 Colbourn-Martirosyan-Trung-Walker 448 18091 Colbourn-Martirosyan-Trung-Walker 464 18316 Colbourn-Martirosyan-Trung-Walker 1154 18448 Cyclotomy (Colbourn) 1201 19216 Cyclotomy (Colbourn) 1362 21776 Cyclotomy (Colbourn) 1409 22544 Cyclotomy (Colbourn) 4352 23056 Colbourn-Martirosyan-Trung-Walker 4608 23506 Colbourn-Martirosyan-Trung-Walker 4961 24570 Power N19^3S6 5202 26944 Colbourn-Martirosyan-Trung-Walker 5236 27209 Power N19^3S5 5376 29191 Colbourn-Martirosyan-Trung-Walker 5472 29206 Colbourn-Martirosyan-Trung-Walker 5632 29236 Colbourn-Martirosyan-Trung-Walker 5776 29281 Colbourn-Martirosyan-Trung-Walker 5888 29746 Colbourn-Martirosyan-Trung-Walker 5920 30796 Colbourn-Martirosyan-Trung-Walker 6256 30901 Colbourn-Martirosyan-Trung-Walker 6384 31216 Colbourn-Martirosyan-Trung-Walker 6688 31231 Colbourn-Martirosyan-Trung-Walker 6992 31276 Colbourn-Martirosyan-Trung-Walker 7168 31846 Colbourn-Martirosyan-Trung-Walker 7424 32071 Colbourn-Martirosyan-Trung-Walker 7600 32203 Colbourn-Martirosyan-Trung-Walker 7872 32428 Colbourn-Martirosyan-Trung-Walker 8096 32638 Colbourn-Martirosyan-Trung-Walker 8144 32653 Colbourn-Martirosyan-Trung-Walker 8512 32683 Colbourn-Martirosyan-Trung-Walker 10000 32760 Power N19^4S8

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