# Table for CAN(5,k,16) 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;5,k,16) 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 17 1048576 orthogonal array 18 1419855 orthogonal array fuse 19 2402895 AZ1 20 2476093 orthogonal array fuse fuse fuse 24 3145725 perfect hash family3,24,17 34 4128768 Martirosyan-Tran van Trung 36 5015552 Martirosyan-Tran van Trung 39 6291450 perfect hash family6,39,17 48 7340025 perfect hash family7,48,17 55 8388600 perfect hash family8,55,17 71 9437175 perfect hash family9,71,17 88 10485750 perfect hash family10,88,17 289 11534325 Power CT17^2 290 13891845 AZ1 291 15796485 Add 2 factors 292 16779525 Add 3 factors 305 17762565 Add 16 factors 306 19093749 Add 17 factors 307 21079820 Power N-CT19^2Arc(3) 324 22062860 Power N-CT19^2T1T1 342 23045900 Power N-CT19^2T1 361 24028940 Power N-CT19^2 512 24386837 Martirosyan-Tran van Trung 544 24502037 Martirosyan-Tran van Trung 546 24693527 Martirosyan-Tran van Trung 576 26312471 Martirosyan-Tran van Trung 578 26587515 Martirosyan-Tran van Trung 580 29529116 Martirosyan-Tran van Trung 582 31433756 Martirosyan-Tran van Trung 584 32416796 Martirosyan-Tran van Trung 610 33399836 Martirosyan-Tran van Trung 612 34731020 Martirosyan-Tran van Trung 614 37731548 Martirosyan-Tran van Trung 620 39634995 Power N-CT31^2T11 744 40304627 Power N-CT31^2T7 964 41287670 Power N-CT31^2+3 1026 45416437 Power CT32^2+2 1027 49843957 AZ1 1044 50155510 Power N-CT37^2Arc(10) 1072 51431408 Power N-CT37^2Arc(9) 1101 52707306 Power N-CT37^2Arc(8) 1131 53983204 Power N-CT37^2Arc(7) 1162 55259102 Power N-CT37^2Arc(6) 1194 56535000 Power N-CT37^2Arc(5) 1235 57671625 perfect hash family55,1235,17 1261 59086796 Power N-CT37^2Arc(3) 4913 59768757 Power CT23^3T6T6T6 5202 60140036 Power CT23^3T6T6T5 5508 60511315 Power CT23^3T6T5T5 5832 60882594 Power CT23^3T5T5T5 6120 61567553 Power CT23^3T6T5T3 6156 61865634 Power CT23^3T5T5T4 6647 61865906 Power CT23^3T6T6 7038 62237185 Power CT23^3T6T5 7452 62608464 Power CT23^3T5T5 7820 63293423 Power CT23^3T6T3 7866 63591504 Power CT23^3T5T4 8280 63664702 Power CT23^3T5T3 8993 63963055 Power CT23^3T6 9522 64334334 Power CT23^3T5 10000 65317374 Power CT23^3T4
Graph: