Table for CAN(3,k,3) 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,3) 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 27 orthogonal array 6 33 Chateauneuf-Kreher NRB 7 40 Constraint (Hnich et al.) 8 42 cross-sum (CKRS) 12 45 cross-sum (CKRS) 14 51 cross-sum (CKRS) 15 57 cross-sum (CKRS) 20 60 Cyclotomy (Colbourn) 24 75 Chateauneuf-Kreher doubling 28 81 Chateauneuf-Kreher doubling 30 87 Chateauneuf-Kreher doubling 40 90 Chateauneuf-Kreher doubling 42 99 Colbourn-Martirosyan-Trung-Walker 45 105 Colbourn-Martirosyan-Trung-Walker 60 108 Colbourn-Martirosyan-Trung-Walker 63 125 Colbourn-Martirosyan-Trung-Walker 72 127 Colbourn-Martirosyan-Trung-Walker 76 128 Chateauneuf-Kreher doubling 80 130 Chateauneuf-Kreher doubling 84 135 Colbourn-Martirosyan-Trung-Walker 90 141 Colbourn-Martirosyan-Trung-Walker 93 144 Colbourn-Martirosyan-Trung-Walker 114 146 Colbourn-Martirosyan-Trung-Walker 120 148 Colbourn-Martirosyan-Trung-Walker 126 156 Cohen-Colbourn-Ling 140 160 Cohen-Colbourn-Ling 160 162 Cohen-Colbourn-Ling 180 165 Cohen-Colbourn-Ling 181 183 Add a factor 189 184 Cohen-Colbourn-Ling 192 185 Cohen-Colbourn-Ling 216 187 Colbourn-Martirosyan-Trung-Walker 222 188 Colbourn-Martirosyan-Trung-Walker 228 192 Colbourn-Martirosyan-Trung-Walker 240 194 Colbourn-Martirosyan-Trung-Walker 252 198 Cohen-Colbourn-Ling 280 201 Cohen-Colbourn-Ling 300 207 Cohen-Colbourn-Ling 304 208 Cohen-Colbourn-Ling 400 210 Cohen-Colbourn-Ling 480 225 Cohen-Colbourn-Ling 540 231 Cohen-Colbourn-Ling 549 242 IPOG-F (NIST) 726 243 Power N11^3,cT5c 847 250 Power N11^3,cT4 968 252 Power N11^3,cT3c 1332 255 Power N11^3,+1c 1333 273 Add a factor 1348 287 IPOG-F (NIST) 1393 288 IPOG-F (NIST) 1395 289 IPOG-F (NIST) 1433 290 IPOG-F (NIST) 1471 291 IPOG-F (NIST) 1475 292 IPOG-F (NIST) 1502 293 IPOG-F (NIST) 1548 294 IPOG-F (NIST) 1566 295 IPOG-F (NIST) 1592 296 IPOG-F (NIST) 1637 297 IPOG-F (NIST) 1660 298 IPOG-F (NIST) 1690 299 IPOG-F (NIST) 1727 300 IPOG-F (NIST) 1778 301 IPOG-F (NIST) 1830 302 IPOG-F (NIST) 1866 303 IPOG-F (NIST) 1918 304 IPOG-F (NIST) 1926 305 IPOG-F (NIST) 1973 306 IPOG-F (NIST) 2000 307 IPOG-F (NIST) 2736 315 Power N19^3,cT7T7 3192 321 Power N19^3,cT7T5 3724 327 Power N19^3,cT5T5 4332 330 Power N19^3,cT7c 5054 336 Power N19^3,cT5c 5415 342 Power N19^3,cT4c 6860 345 Power N19^3,+1c 6861 363 Add a factor 6862 381 Add a factor 6863 399 Add a factor 7448 403 Chateauneuf-Kreher doubling 7532 406 Chateauneuf-Kreher doubling 8208 407 Colbourn-Martirosyan-Trung-Walker 8664 408 Chateauneuf-Kreher doubling 9200 410 Power N23^3T3T3c 10000 413 Power N19^4Tlev

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