Table for CAN(6,k,12) 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,12) 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 2985984 composition 8 3553567 Add a symbol 9 3876618 Add a symbol 10 4229037 Add a symbol 11 4613494 Add a symbol 14 4826807 orthogonal array fuse 15 8596595 Add a factor 16 12366383 Add a factor 17 16777208 orthogonal array fuse fuse fuse fuse 18 19307224 perfect hash family4,18,14 20 22406866 Martirosyan-Tran van Trung 22 22791323 Martirosyan-Tran van Trung 24 23004636 Martirosyan-Tran van Trung 28 23061754 Martirosyan-Tran van Trung 29 32497774 Add a factor 30 42354082 Add a factor 32 53094866 perfect hash family11,32,14 34 57921672 perfect hash family12,34,14 37 62748478 perfect hash family13,37,14 40 67575284 perfect hash family14,40,14 43 72402090 perfect hash family15,43,14 44 75930129 Martirosyan-Tran van Trung 46 76278707 perfect hash family16,66,14T5 50 76631126 perfect hash family16,65,13T3 55 77015583 perfect hash family16,65,13T2 65 77228747 perfect hash family16,65,13,c fuse 66 77228896 perfect hash family16,66,14 67 95208748 Add a factor 68 106189732 perfect hash family22,68,14 69 111016319 perfect hash family23,69,13,c fuse 70 111016538 perfect hash family23,70,14 71 115983794 perfect hash family17,120,15S8 76 119753582 perfect hash family17,120,15S7 81 123523370 perfect hash family17,120,15S6 86 127293158 perfect hash family17,120,15S5 92 131062946 perfect hash family17,120,15S4 100 133775716 Power 16^2T2S15 106 137545504 Power 16^2S16 111 141315292 Power 16^2S15 112 142372310 perfect hash family17,120,15T1 117 145085080 Power 16^2S14 120 146142098 perfect hash family17,120,15 122 148854868 Power 16^2S13 127 152624656 Power 16^2S12 133 156394444 Power 16^2S11 140 160164232 Power 16^2S10 148 163934020 Power 16^2S9 156 167703808 Power 16^2S8 165 171473596 Power 16^2S7 175 175243384 Power 16^2S6 186 179013172 Power 16^2S5 198 182782960 Power 16^2S4 211 186552748 Power 16^2S3 225 190322536 Power 16^2T1T1 240 194092324 Power 16^2T1 256 197862112 Power 16^2 257 226035004 Add a factor 258 254207896 Add a factor 272 264024487 Power 17^2T1 289 268435312 Power 17^2 290 296608204 Add a factor 291 324781096 Add a factor 296 334302117 Martirosyan-Tran van Trung 312 338071905 Martirosyan-Tran van Trung 316 341841693 Martirosyan-Tran van Trung 330 342114115 Martirosyan-Tran van Trung 360 345271407 Power N29^2T9S14 395 345655864 Power N29^2T7S14 431 345869177 Power N29^2T5S14 502 345926295 Power N29^2S15 519 355362315 Power N29^2S14 537 364798335 Power N29^2S13 540 368333160 Power 27^2T7 594 368717617 Power 27^2T5 648 368930930 Power 27^2T3 730 368988048 Power 27^2+1 731 407849772 Add a factor 732 446711496 Add a factor 757 459158535 Power N29^2S3 784 468594555 Power N29^2T1T1 812 478030575 Power N29^2T1 841 487466595 Power N29^2 842 529293567 Add a factor 843 571120539 Add a factor 844 612947511 Add a factor 845 654774483 Add a factor 846 696601455 Add a factor 848 736325711 Martirosyan-Tran van Trung 862 736338031 Martirosyan-Tran van Trung 864 736395149 Martirosyan-Tran van Trung 884 736780413 Martirosyan-Tran van Trung 896 737271189 Martirosyan-Tran van Trung 900 739865847 Martirosyan-Tran van Trung 930 740149207 Martirosyan-Tran van Trung 936 740322975 Martirosyan-Tran van Trung 952 741833962 Martirosyan-Tran van Trung 954 741846282 Martirosyan-Tran van Trung 960 744077018 Martirosyan-Tran van Trung 988 744150938 Martirosyan-Tran van Trung 1004 745623266 Martirosyan-Tran van Trung 1032 755083926 Martirosyan-Tran van Trung 1038 755672740 Martirosyan-Tran van Trung 1074 765108760 Martirosyan-Tran van Trung 1080 769127119 Martirosyan-Tran van Trung 1106 769262639 Martirosyan-Tran van Trung 1140 769319757 Martirosyan-Tran van Trung 1152 769387484 Martirosyan-Tran van Trung 1190 769444602 Martirosyan-Tran van Trung 1200 769512395 Martirosyan-Tran van Trung 1204 770212089 Martirosyan-Tran van Trung 1228 772136649 Martirosyan-Tran van Trung 1248 780942537 Martirosyan-Tran van Trung 1264 782649121 Martirosyan-Tran van Trung 1272 782661441 Martirosyan-Tran van Trung 1292 782694595 Martirosyan-Tran van Trung 1296 782830115 Martirosyan-Tran van Trung 1322 782887233 Martirosyan-Tran van Trung 1332 792561009 Martirosyan-Tran van Trung 1352 793738637 Martirosyan-Tran van Trung 1360 794475890 Martirosyan-Tran van Trung 1420 801245015 Martirosyan-Tran van Trung 1460 806024231 Martirosyan-Tran van Trung 1461 847851203 Add a factor 1462 857657747 Martirosyan-Tran van Trung 1463 899484719 Add a factor 1464 902120528 Martirosyan-Tran van Trung 1466 915541012 Martirosyan-Tran van Trung 1470 920690452 Martirosyan-Tran van Trung 1472 930111476 Martirosyan-Tran van Trung 1508 930271636 Martirosyan-Tran van Trung 1514 930505287 Martirosyan-Tran van Trung 1516 939941307 Martirosyan-Tran van Trung 1534 942676795 Martirosyan-Tran van Trung 1536 962804539 Martirosyan-Tran van Trung 1538 966455747 Martirosyan-Tran van Trung 1540 968909363 Martirosyan-Tran van Trung 1552 980262467 Martirosyan-Tran van Trung 1560 980287107 Martirosyan-Tran van Trung 1568 980844290 Martirosyan-Tran van Trung 1600 990366550 Martirosyan-Tran van Trung 1624 990378870 Martirosyan-Tran van Trung 1660 999814890 Martirosyan-Tran van Trung 1664 1005627882 Martirosyan-Tran van Trung 1680 1005873270 Martirosyan-Tran van Trung 1682 1006107350 Martirosyan-Tran van Trung 1720 1008802440 Power N43^2T3 1849 1013629246 Power N43^2 1850 1055456218 Add a factor 1952 1057068563 Power N61^2T29 2074 1061895369 Power N61^2T27 2257 1066722175 Power N61^2T24 2440 1071548981 Power N61^2T21 2623 1076375787 Power N61^2T18 2650 1077833691 Power N53^2T3 2811 1078218148 Power N53^2+2 3050 1080604823 Power N61^2T11 3355 1080989280 Power N61^2T6 3724 1081202444 Power N61^2+3 3751 1117164234 Power N67^2S12 3807 1135144086 Power N67^2S11 3864 1153123938 Power N67^2S10 3922 1171103790 Power N67^2S9 3981 1189083642 Power N67^2S8 4041 1207063494 Power N67^2S7 4102 1225043346 Power N67^2S6 4164 1243023198 Power N67^2S5 4227 1261003050 Power N67^2S4 5040 1275449236 Power 31^3T17S30 5400 1279219024 Power 31^3T16S30 5758 1282988812 Power 31^3T15S30 6119 1287399637 Power 31^3T14S30 6477 1289929653 Power 31^3T13S30 7197 1293029295 Power 31^3T11S30 7915 1293413752 Power 31^3T9S30 8633 1293627065 Power 31^3T7S30 10000 1293684183 Power 31^3T3S30

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