Table for CAN(3,k,6) for k up to 10000

Last Updated Tue Nov 18 04:23:58 MST 2014

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,6) 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 4 216 Derive from strength 4 5 240 cross-sum (CKRS) 6 258 cross-sum (CKRS) 7 290 Torres Jimenez 8 301 Torres Jimenez 9 361 Torres Jimenez 10 380 Torres Jimenez 11 420 Torres Jimenez 12 463 Chateauneuf-Kreher doubling 13 490 Torres Jimenez 14 498 Chateauneuf-Kreher doubling postop NCK 15 506 Chateauneuf-Kreher doubling postop NCK 16 510 Chateauneuf-Kreher doubling postop NCK 17 549 Torres Jimenez 18 591 Torres Jimenez 20 620 Chateauneuf-Kreher doubling 104 624 Cyclotomy (Colbourn) 122 726 Cyclotomy (Torres-Jimenez) 128 762 Cyclotomy (Colbourn) 152 906 Cyclotomy (Colbourn) 164 978 Cyclotomy (Colbourn) 170 1020 Cyclotomy (Torres-Jimenez) 172 1049 Chateauneuf-Kreher doubling 178 1054 Chateauneuf-Kreher doubling 188 1059 Chateauneuf-Kreher doubling 200 1064 Chateauneuf-Kreher doubling 204 1069 Chateauneuf-Kreher doubling 208 1074 Chateauneuf-Kreher doubling 220 1176 Chateauneuf-Kreher doubling 238 1181 Chateauneuf-Kreher doubling 244 1186 Chateauneuf-Kreher doubling 256 1222 Chateauneuf-Kreher doubling 264 1272 Cohen-Colbourn-Ling 268 1278 Cohen-Colbourn-Ling 272 1284 Cohen-Colbourn-Ling 276 1290 Cohen-Colbourn-Ling 284 1296 Cohen-Colbourn-Ling 292 1302 Cohen-Colbourn-Ling 316 1308 Cohen-Colbourn-Ling 320 1320 Cohen-Colbourn-Ling 340 1326 Cohen-Colbourn-Ling 356 1332 Cohen-Colbourn-Ling 372 1338 Cohen-Colbourn-Ling 392 1344 Cohen-Colbourn-Ling 404 1350 Cohen-Colbourn-Ling 416 1352 Cohen-Colbourn-Ling 480 1407 Cohen-Colbourn-Ling 496 1422 Cohen-Colbourn-Ling 520 1424 Cohen-Colbourn-Ling 528 1429 Cohen-Colbourn-Ling 536 1436 Cohen-Colbourn-Ling 624 1442 Cohen-Colbourn-Ling 640 1465 Cohen-Colbourn-Ling 728 1490 Cohen-Colbourn-Ling 832 1501 Cohen-Colbourn-Ling 854 1618 Cohen-Colbourn-Ling 976 1629 Cohen-Colbourn-Ling 992 1665 Cohen-Colbourn-Ling 1024 1672 Cohen-Colbourn-Ling 1040 1692 Cohen-Colbourn-Ling 1098 1775 Cohen-Colbourn-Ling 1144 1780 Cohen-Colbourn-Ling 1220 1794 Cohen-Colbourn-Ling 1240 1830 Cohen-Colbourn-Ling 1280 1838 Cohen-Colbourn-Ling 1313 1879 Cohen-Colbourn-Ling 1352 1888 Cohen-Colbourn-Ling 1456 1938 Cohen-Colbourn-Ling 1560 1946 Cohen-Colbourn-Ling 1664 1950 Cohen-Colbourn-Ling 1768 1989 Cohen-Colbourn-Ling 1785 2058 Cohen-Colbourn-Ling 1872 2063 Cohen-Colbourn-Ling 1953 2078 Cohen-Colbourn-Ling 1960 2084 Cohen-Colbourn-Ling 2058 2088 Cohen-Colbourn-Ling 2121 2098 Cohen-Colbourn-Ling 2184 2108 Cohen-Colbourn-Ling 2420 2158 Cohen-Colbourn-Ling 2728 2171 Cohen-Colbourn-Ling 2904 2184 Cohen-Colbourn-Ling 2948 2197 Cohen-Colbourn-Ling 2992 2210 Cohen-Colbourn-Ling 3008 2214 Cohen-Colbourn-Ling 3036 2223 Cohen-Colbourn-Ling 3520 2228 Cohen-Colbourn-Ling 3968 2242 Cohen-Colbourn-Ling 4224 2256 Cohen-Colbourn-Ling 4288 2270 Cohen-Colbourn-Ling 4352 2284 Cohen-Colbourn-Ling 4416 2298 Cohen-Colbourn-Ling 4544 2312 Cohen-Colbourn-Ling 4960 2313 Cohen-Colbourn-Ling 5280 2328 Cohen-Colbourn-Ling 5360 2343 Cohen-Colbourn-Ling 5440 2358 Cohen-Colbourn-Ling 5720 2368 Cohen-Colbourn-Ling 6448 2384 Cohen-Colbourn-Ling 6864 2400 Cohen-Colbourn-Ling 6968 2416 Cohen-Colbourn-Ling 7072 2432 Cohen-Colbourn-Ling 7176 2448 Cohen-Colbourn-Ling 7384 2464 Cohen-Colbourn-Ling 7592 2480 Cohen-Colbourn-Ling 10000 2492 Power CT100^2

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