Table for CAN(6,k,17) for k up to 10000

Last Updated Sun Nov 22 06:45:17 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;6,k,17) 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).

Change t: - Change v: - + or go to Global Menu.

k N Source 18 24137569 orthogonal array 19 46771760 extended OA (Colbourn) 20 47045877 orthogonal array fuse fuse 21 82492101 Add a factor 23 96550225 perfect hash family4,23,17,c 24 96550272 perfect hash family4,24,18 36 119267988 Martirosyan-Tran van Trung 37 173586116 Add a factor 39 217238112 perfect hash family9,39,18 40 225113449 Martirosyan-Tran van Trung 42 241375680 perfect hash family10,42,18 44 265513089 perfect hash family11,44,17,c 48 265513248 perfect hash family11,48,18 50 289650641 perfect hash family12,50,17,c 54 289650816 perfect hash family12,54,18 60 313788384 perfect hash family13,60,18 85 362063297 perfect hash family15,85,17,c 86 362063520 perfect hash family15,86,18 289 386200849 perfect hash family16,289,17,c 290 386201088 Power 17^2+1 291 495780368 Add a factor 292 607875104 Add a factor 294 675851904 perfect hash family28,294,18 307 680445571 Power 19^2S3 324 703079762 Power 19^2T1T1 342 725713953 Power 19^2T1 361 748348144 Power 19^2 362 752734016 Power 19^2+1 513 772401681 perfect hash family32,513,17,c 514 772402176 perfect hash family32,514,18 515 953829168 Add a factor 516 1086189857 perfect hash family45,516,17,c 518 1086190560 perfect hash family45,518,18 519 1267617552 Add a factor 578 1288641412 Martirosyan-Tran van Trung 580 1299020451 Martirosyan-Tran van Trung 582 1470228403 Martirosyan-Tran van Trung 584 1616275427 Martirosyan-Tran van Trung 588 1684252227 Martirosyan-Tran van Trung 612 1688845894 Martirosyan-Tran van Trung 620 1716797694 Power N31^2T11 651 1752243918 Power N31^2T10 713 1766302042 Power N31^2T8 744 1766302089 Power N31^2T7 964 1789019805 Power N31^2+3 1028 1908287792 Power 32^2 +4 1044 2060610445 Power N37^2S10 1072 2114928573 Power N37^2S9 1101 2169246701 Power N37^2S8 1131 2223564829 Power N37^2S7 1162 2277882957 Power N37^2S6 1194 2332201085 Power N37^2S5 1227 2386519213 Power N37^2S4 1261 2440837341 Power N37^2S3 1296 2495155469 Power N37^2T1T1 1332 2549473597 Power N37^2T1 1369 2603791725 Power N37^2 1370 2860603517 Add a factor 1425 3089606673 perfect hash family128,1425,17,c 1450 3089608704 perfect hash family128,1450,18 1476 3257151814 Power N41^2T5 1480 3295207711 Power N41^2T4T1 1486 3297948351 Power N41^2S5 1517 3311469942 Power N41^2T4 1523 3314210582 Power N41^2S4 1561 3330472813 Power N41^2S3 1600 3346735044 Power N41^2T1T1 1640 3362997275 Power N41^2T1 1682 3379259506 Power N41^2+1 1728 3475807505 perfect hash family144,1728,17,c 1729 3475809792 perfect hash family144,1729,18 10000 3507046759 Power 31^3T13T13

Graph: