Table for CAN(3,k,4) 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,4) 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 64 orthogonal array 8 88 Chateauneuf-Kreher NRB 10 112 Chateauneuf-Kreher doubling 12 121 Chateauneuf-Kreher doubling 16 124 Sherwood-Martirosyan-Colbourn 38 152 Cyclotomy (Colbourn) 41 164 Cyclotomy (Colbourn) 42 176 Cyclotomy (Colbourn) 54 212 Cyclotomy (Colbourn) 64 244 Sherwood-Martirosyan-Colbourn 68 251 Chateauneuf-Kreher doubling 76 254 Chateauneuf-Kreher doubling 82 269 Chateauneuf-Kreher doubling 84 281 Chateauneuf-Kreher doubling 96 284 Colbourn-Martirosyan-Trung-Walker 116 293 Colbourn-Martirosyan-Trung-Walker 120 296 Colbourn-Martirosyan-Trung-Walker 136 299 Colbourn-Martirosyan-Trung-Walker 152 302 Colbourn-Martirosyan-Trung-Walker 164 317 Colbourn-Martirosyan-Trung-Walker 168 329 Colbourn-Martirosyan-Trung-Walker 190 360 Cohen-Colbourn-Ling 222 364 Sherwood-Martirosyan-Colbourn 228 387 Cohen-Colbourn-Ling 246 399 Cohen-Colbourn-Ling 256 409 Colbourn-Martirosyan-Trung-Walker 272 416 Colbourn-Martirosyan-Trung-Walker 276 419 Colbourn-Martirosyan-Trung-Walker 304 422 Colbourn-Martirosyan-Trung-Walker 328 437 Colbourn-Martirosyan-Trung-Walker 384 444 Cohen-Colbourn-Ling 464 461 Colbourn-Martirosyan-Trung-Walker 480 468 Cohen-Colbourn-Ling 544 474 Cohen-Colbourn-Ling 560 479 Colbourn-Martirosyan-Trung-Walker 608 480 Cohen-Colbourn-Ling 656 498 Cohen-Colbourn-Ling 672 510 Cohen-Colbourn-Ling 736 546 Colbourn-Martirosyan-Trung-Walker 760 549 Colbourn-Martirosyan-Trung-Walker 800 552 Cohen-Colbourn-Ling 816 553 Colbourn-Martirosyan-Trung-Walker 912 556 Cohen-Colbourn-Ling 984 568 Cohen-Colbourn-Ling 1008 580 Cohen-Colbourn-Ling 1102 583 Cohen-Colbourn-Ling 1140 592 Cohen-Colbourn-Ling 1189 595 Cohen-Colbourn-Ling 1292 601 Cohen-Colbourn-Ling 1444 604 Power 38^2 1558 622 Cohen-Colbourn-Ling 1596 634 Cohen-Colbourn-Ling 1681 643 Cohen-Colbourn-Ling 1722 655 Cohen-Colbourn-Ling 1856 657 Cohen-Colbourn-Ling 2052 670 Cohen-Colbourn-Ling 2176 678 Colbourn-Martirosyan-Trung-Walker 2240 683 Colbourn-Martirosyan-Trung-Walker 2304 690 Cohen-Colbourn-Ling 2432 693 Colbourn-Martirosyan-Trung-Walker 2624 711 Colbourn-Martirosyan-Trung-Walker 2688 723 Colbourn-Martirosyan-Trung-Walker 3417 738 Power N17^3S6 3630 766 Power N17^3S5 3648 781 Colbourn-Martirosyan-Trung-Walker 3936 793 Colbourn-Martirosyan-Trung-Walker 4408 805 Cohen-Colbourn-Ling 4736 814 Power N37^3T29T21 4756 817 Cohen-Colbourn-Ling 8214 818 Power N37^3T31 10000 842 Power N37^3T29

Graph: