Table for CAN(6,k,14) 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,14) 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 7 7529536 composition 8 8732479 Add a symbol 9 9404208 Add a symbol 10 10127608 Add a symbol 11 10906654 Add a symbol 12 11745627 Add a symbol 13 12649136 Add a symbol 14 13622146 Add a symbol 17 16777212 orthogonal array fuse fuse 18 24137563 orthogonal array fuse fuse fuse 19 36064387 Add a factor 20 47045871 orthogonal array fuse fuse fuse fuse fuse 22 67044295 Martirosyan-Tran van Trung 23 67108844 perfect hash family4,23,17 24 69215742 Martirosyan-Tran van Trung 26 71022751 Martirosyan-Tran van Trung 28 72968759 Martirosyan-Tran van Trung 32 79054612 Martirosyan-Tran van Trung 34 79185676 Martirosyan-Tran van Trung 36 100459252 Martirosyan-Tran van Trung 37 132266482 Add a factor 38 163926922 Martirosyan-Tran van Trung 39 167772110 perfect hash family10,39,17 40 181478730 Martirosyan-Tran van Trung 44 184549321 perfect hash family11,44,17 45 197868615 perfect hash family16,65,13S5 48 198772124 perfect hash family16,65,13S4 52 199675633 perfect hash family16,65,13S3 56 200579142 perfect hash family16,65,13S2 60 201482651 perfect hash family16,65,13T1 65 202386160 perfect hash family16,65,13 66 217954320 perfect hash family16,66,14 70 248503099 perfect hash family15,80,16T2 80 251658012 perfect hash family15,80,16,c fuse fuse 85 251658165 Power 17^2Tlev 90 254412768 Power 16^2T7T6 91 255059624 Power 16^2T9T3 100 255136168 Power 16^2T6T6 110 255915214 Power 16^2T6T5 121 256694260 Power 16^2T5T5 132 257533233 Power 16^2T5T4 144 258372206 Power 16^2T4T4 156 259275715 Power 16^2T4T3 169 260179224 Power 16^2T3T3 182 261152234 Power 16^2T3T2 196 262125244 Power 16^2T2T2 204 263403791 Power 17^2T5 221 264307300 Power 17^2T4 238 265280310 Power 17^2T3 256 268435212 perfect hash family16,256,16,c fuse fuse 289 268435376 Power 17^2 290 331205356 Add a factor 291 404525694 Add a factor 292 469761908 perfect hash family28,292,17 293 520093541 perfect hash family31,293,17 320 530221148 perfect hash family32,512,16T6 352 531000194 perfect hash family32,512,16T5 384 531839167 perfect hash family32,512,16T4 416 532742676 perfect hash family32,512,16T3 448 533715686 perfect hash family32,512,16T2 512 536870412 perfect hash family32,512,16,c fuse fuse 513 536870752 perfect hash family32,513,17 514 631359146 Add a factor 515 726546420 Add a factor 516 754974495 perfect hash family45,516,17 517 850161769 Add a factor 544 865249015 Martirosyan-Tran van Trung 548 900887225 Martirosyan-Tran van Trung 576 901577005 Martirosyan-Tran van Trung 578 954928481 perfect hash familyD16,578,34^11 17^5 580 1063664413 Martirosyan-Tran van Trung 595 1124960635 Power N29^2S10 616 1131046488 Power N29^2S9 626 1136364000 Power 25^2+1 637 1137132341 Power N29^2S8 659 1143218194 Power N29^2S7 682 1149304047 Power N29^2S6 706 1155389900 Power N29^2S5 731 1161475753 Power N29^2S4 757 1167561606 Power N29^2S3 784 1173647459 Power N29^2T1T1 806 1177787304 Power N31^2T5 868 1179733312 Power N31^2T3 962 1185819165 Power N31^2+1 964 1187785125 Power N31^2+3 1024 1264873776 Power 32^2 1026 1266970800 Power 32^2+2 1027 1398758820 Add a factor 1028 1530546840 Add a factor 1029 1662334860 Add a factor 1044 1665924915 Power N37^2S10 1072 1697732145 Power N37^2S9 1101 1729539375 Power N37^2S8 1131 1761346605 Power N37^2S7 1162 1793153835 Power N37^2S6 1194 1824961065 Power N37^2S5 1227 1856768295 Power N37^2S4 1261 1888575525 Power N37^2S3 1296 1920382755 Power N37^2T1T1 1332 1952189985 Power N37^2T1 1369 1983997215 Power N37^2 1370 2118320859 Add a factor 1425 2147483008 perfect hash family128,1425,17 1426 2281806652 Add a factor 1568 2307642789 Power 32^3T25T25 1792 2308845732 Power 32^3T25T24 2016 2309517461 Power 32^3T25T23 2048 2310048675 Power 32^3T24T24 2240 2310240861 Power 32^3T25T22 2304 2310720404 Power 32^3T24T23 2464 2311019907 Power 32^3T25T21 2592 2311392133 Power 32^3T23T23 2688 2311858880 Power 32^3T25T20 2880 2312115533 Power 32^3T23T22 2912 2312762389 Power 32^3T25T19 3200 2312838933 Power 32^3T22T22 3520 2313617979 Power 32^3T22T21 3872 2314397025 Power 32^3T21T21 4224 2315235998 Power 32^3T21T20 4608 2316074971 Power 32^3T20T20 4992 2316978480 Power 32^3T20T19 5408 2317881989 Power 32^3T19T19 5824 2318854999 Power 32^3T19T18 6272 2319828009 Power 32^3T18T18 6528 2321106556 Power 32^3T20T15 7072 2322010065 Power 32^3T19T15 7616 2322983075 Power 32^3T18T15 9248 2326138141 Power 32^3T15T15 9792 2333498492 Power 32^3T15T14 10000 2340858843 Power 31^3T13T13

Graph: