Table for CAN(6,k,5) 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;6,k,5) 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 7 15625 orthogonal array 8 28125 extend by one factor 9 40777 Greedy (density) (Colbourn) 10 46086 paintball (Kuhn) 11 56615 IPOG-F (NIST) 12 62381 paintball (Kuhn) 13 70190 IPOG-F (NIST) 14 72681 paintball (Kuhn) 15 82139 IPOG-F (NIST) 16 87559 IPOG-F (NIST) 17 92701 IPOG-F (NIST) 18 97605 IPOG-F (NIST) 19 102208 IPOG-F (NIST) 20 106642 IPOG-F (NIST) 21 110842 IPOG-F (NIST) 22 114775 IPOG-F (NIST) 23 118587 IPOG-F (NIST) 24 122201 IPOG-F (NIST) 25 125683 IPOG-F (NIST) 26 162983 extend by one factor 30 184245 paintball (Kuhn) 31 233945 extend by one factor 32 283645 extend by one factor 33 333345 extend by one factor 34 381358 Martirosyan-Tran van Trung 36 392852 Martirosyan-Tran van Trung 38 398091 Martirosyan-Tran van Trung 40 402525 Martirosyan-Tran van Trung 42 413833 Martirosyan-Tran van Trung 44 420198 Martirosyan-Tran van Trung 46 426226 Martirosyan-Tran van Trung 48 432004 Martirosyan-Tran van Trung 49 494104 extend by one factor 50 538974 Martirosyan-Tran van Trung 52 578330 Martirosyan-Tran van Trung 54 601516 Martirosyan-Tran van Trung 56 603472 Martirosyan-Tran van Trung 58 605236 Martirosyan-Tran van Trung 60 606996 Martirosyan-Tran van Trung 61 669096 extend by one factor 62 685976 Martirosyan-Tran van Trung 64 737340 Martirosyan-Tran van Trung 66 788620 Martirosyan-Tran van Trung 68 838177 Martirosyan-Tran van Trung 70 851131 Martirosyan-Tran van Trung 72 872515 Martirosyan-Tran van Trung 74 879170 Martirosyan-Tran van Trung 76 941322 Martirosyan-Tran van Trung 78 947080 Martirosyan-Tran van Trung 80 948408 Martirosyan-Tran van Trung 82 960980 Martirosyan-Tran van Trung 84 980878 Martirosyan-Tran van Trung 86 994661 Martirosyan-Tran van Trung 88 995849 Martirosyan-Tran van Trung 90 1003033 Martirosyan-Tran van Trung 92 1004145 Martirosyan-Tran van Trung 94 1011059 Martirosyan-Tran van Trung 96 1012131 Martirosyan-Tran van Trung 97 1109031 extend by one factor 98 1141947 Martirosyan-Tran van Trung 100 1187865 Martirosyan-Tran van Trung 120 1232085 RBIBD 256 1313371 Power 16^2 289 1390501 Power 17^2 290 1464061 Power 18^2 361 1533106 Power 19^2 362 1599616 Power 20^2 363 1662616 Power 21^2 364 1721611 Power 22^2 529 1778791 Power 23^2 530 1833001 Power 24^2 625 1885231 Power 25^2 626 2102251 extend by one factor 627 2319271 extend by one factor 628 2544291 extend by one factor 842 2763661 Power 30^2 843 3014401 extend by one factor 844 3265141 extend by one factor 961 3509161 Power 31^2 962 3769981 extend by one factor 963 4031001 extend by one factor 976 4212016 Martirosyan-Colbourn 980 4247364 Martirosyan-Colbourn 992 4248044 Martirosyan-Colbourn 1024 4254661 Power 32^2 1040 4272024 Martirosyan-Colbourn 1056 4273384 Martirosyan-Colbourn 1058 4274928 Martirosyan-Colbourn 1060 4329138 Martirosyan-Colbourn 1088 4381368 Martirosyan-Colbourn 1100 4382828 Martirosyan-Colbourn 1120 4383340 Martirosyan-Colbourn 1124 4387564 Martirosyan-Colbourn 1136 4388924 Martirosyan-Colbourn 1152 4389604 Martirosyan-Colbourn 1184 4402476 Martirosyan-Colbourn 1200 4413788 Martirosyan-Colbourn 1208 4427916 Martirosyan-Colbourn 1216 4428028 Martirosyan-Colbourn 1220 4429352 Martirosyan-Colbourn 1232 4430032 Martirosyan-Colbourn 1240 4430712 Martirosyan-Colbourn 1248 4448632 Martirosyan-Colbourn 1250 4449960 Martirosyan-Colbourn 1252 4696980 Martirosyan-Colbourn 1254 4914000 Martirosyan-Colbourn 1256 5139020 Martirosyan-Colbourn 10000 5343077 Power 29^3

Graph: