Table for CAN(4,k,12) 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;4,k,12) 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 5 20736 composition 14 28560 fuse symbols 15 50472 extend by one factor 24 57108 fuse symbols 28 74901 Colbourn-Martirosyan-Trung-Walker 29 111333 extend by one factor 30 116844 Colbourn-Martirosyan-Trung-Walker 36 117778 Colbourn-Martirosyan-Trung-Walker 39 117833 Colbourn-Martirosyan-Trung-Walker 42 123017 Colbourn-Martirosyan-Trung-Walker 48 123480 Colbourn-Martirosyan-Trung-Walker 169 136212 fuse symbols 182 142296 fuse symbols 183 184536 extend by one factor 195 191376 fuse symbols 208 193560 fuse symbols 221 195588 fuse symbols 234 199644 fuse symbols 247 201264 fuse symbols 312 213432 fuse symbols 318 227767 Colbourn-Martirosyan-Trung-Walker 338 229609 Colbourn-Martirosyan-Trung-Walker 342 235693 Colbourn-Martirosyan-Trung-Walker 364 237607 Colbourn-Martirosyan-Trung-Walker 366 283279 Colbourn-Martirosyan-Trung-Walker 390 290761 fuse symbols 465 290782 Colbourn-Martirosyan-Trung-Walker 468 291978 Colbourn-Martirosyan-Trung-Walker 477 292033 Colbourn-Martirosyan-Trung-Walker 767 294408 fuse symbols 2197 316872 fuse symbols 2210 335124 fuse symbols 2314 336488 fuse symbols 2366 338594 fuse symbols 2470 391418 fuse symbols 2522 392136 fuse symbols 2535 395846 fuse symbols 2600 398030 fuse symbols 2704 428090 fuse symbols 2782 430118 fuse symbols 2834 430884 fuse symbols 2873 432440 fuse symbols 2938 436496 fuse symbols 2990 437286 fuse symbols 3042 442194 fuse symbols 3211 445434 fuse symbols 3302 457602 fuse symbols 3328 462798 fuse symbols 3380 466854 fuse symbols 3549 467862 fuse symbols 3614 469590 fuse symbols 3718 471386 fuse symbols 3757 474024 fuse symbols 3770 482136 fuse symbols 3874 483980 fuse symbols 3887 486708 fuse symbols 4056 488436 fuse symbols 4394 495089 Colbourn-Martirosyan-Trung-Walker 4420 513341 Colbourn-Martirosyan-Trung-Walker 4628 514705 Colbourn-Martirosyan-Trung-Walker 4732 516811 Colbourn-Martirosyan-Trung-Walker 5070 572821 fuse symbols 6084 575005 fuse symbols 9971 576468 fuse symbols 10000 602832 fuse symbols

Graph: