Table for CAN(6,k,12) for k up to 10000

Last Updated Tue Jan 31 05:20:10 MST 2012

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 8586959 Add a factor 16 12347111 Add a factor 17 16777208 orthogonal array fuse fuse fuse fuse 18 19307224 perfect hash family4,18,14 20 21785790 Martirosyan-Tran van Trung 22 22227219 Martirosyan-Tran van Trung 26 22648871 double OA (Colbourn-Zhou) fuse 28 23017967 double OA (Colbourn-Zhou) fuse 29 32453987 Add a factor 30 42280991 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 72502814 Martirosyan-Tran van Trung 48 74377855 Martirosyan-Tran van Trung 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 93258448 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 115897070 perfect hash family17,120,15S8 76 119657222 perfect hash family17,120,15S7 81 123417374 perfect hash family17,120,15S6 86 127177526 perfect hash family17,120,15S5 112 129871024 Power CT16^2Arc(18):9 twos,0 ones 120 137391328 Power CT16^2Arc(16) 121 141151480 Power CT16^2Arc(15) 123 144911632 Power CT16^2Arc(14) 126 148671784 Power CT16^2Arc(13) 130 152431936 Power CT16^2Arc(12) 135 156192088 Power CT16^2Arc(11) 141 159952240 Power CT16^2Arc(10) 148 163712392 Power CT16^2Arc(9) 156 167472544 Power CT16^2Arc(8) 165 171232696 Power CT16^2Arc(7) 175 174992848 Power CT16^2Arc(6) 186 178753000 Power CT16^2Arc(5) 198 182513152 Power CT16^2Arc(4) 211 186273304 Power CT16^2Arc(3) 225 190033456 Power CT16^2T1T1 240 193793608 Power CT16^2T1 256 197553760 Power CT16^2 257 224365996 Add a factor 258 251178232 Add a factor 272 264005215 Power CT17^2T1 289 268435312 Power CT17^2 290 296050636 Add a factor 291 323665960 Add a factor 296 331066106 Martirosyan-Tran van Trung 312 334826258 Martirosyan-Tran van Trung 330 338673469 Martirosyan-Tran van Trung 338 342433621 Martirosyan-Tran van Trung 360 344037313 Power N-CT29^2T9S14 395 344478742 Power N-CT29^2T7S14 466 344900394 Power N-CT29^2T3S14 511 345269490 Power N-CT29^2Arc(15) 526 354705510 Power N-CT29^2Arc(14) 550 361960268 Power CT25^2T3 626 362381920 Power CT25^2+1 627 366811072 Power CT27^2Arc(4) 651 367180168 Power CT27^2Arc(3) 676 367549264 Power CT27^2T1T1 702 367918360 Power CT27^2T1 730 368287456 Power CT27^2+1 731 405447568 Add a factor 732 442607680 Add a factor 757 458501730 Power N-CT29^2Arc(3) 784 467937750 Power N-CT29^2T1T1 812 477373770 Power N-CT29^2T1 841 486809790 Power N-CT29^2 842 526741506 Add a factor 843 566673222 Add a factor 844 606604938 Add a factor 845 646536654 Add a factor 846 686468370 Add a factor 858 694550487 Martirosyan-Tran van Trung 862 698016995 Martirosyan-Tran van Trung 864 699045535 Martirosyan-Tran van Trung 870 699643561 Martirosyan-Tran van Trung 880 700672717 Martirosyan-Tran van Trung 884 700823120 Martirosyan-Tran van Trung 896 700849256 Martirosyan-Tran van Trung 900 705829693 Martirosyan-Tran van Trung 904 705842013 Martirosyan-Tran van Trung 908 705977533 Martirosyan-Tran van Trung 916 705989853 Martirosyan-Tran van Trung 932 706100733 Martirosyan-Tran van Trung 936 706469829 Martirosyan-Tran van Trung 948 712929625 Martirosyan-Tran van Trung 952 712941945 Martirosyan-Tran van Trung 964 712954265 Martirosyan-Tran van Trung 988 712966585 Martirosyan-Tran van Trung 1014 712991753 Martirosyan-Tran van Trung 1020 715555433 Martirosyan-Tran van Trung 1022 715678633 Martirosyan-Tran van Trung 1040 725114653 Martirosyan-Tran van Trung 1052 725360041 Martirosyan-Tran van Trung 1080 732828112 Martirosyan-Tran van Trung 1092 732951312 Martirosyan-Tran van Trung 1100 743407740 Martirosyan-Tran van Trung 1120 744118399 Martirosyan-Tran van Trung 1144 744130719 Martirosyan-Tran van Trung 1152 744376107 Martirosyan-Tran van Trung 1170 744474667 Martirosyan-Tran van Trung 1176 745016467 Martirosyan-Tran van Trung 1180 745028787 Martirosyan-Tran van Trung 1196 745112227 Martirosyan-Tran van Trung 1204 745357615 Martirosyan-Tran van Trung 1220 747282175 Martirosyan-Tran van Trung 1228 747356095 Martirosyan-Tran van Trung 1232 756161983 Martirosyan-Tran van Trung 1248 756186623 Martirosyan-Tran van Trung 1252 757955522 Martirosyan-Tran van Trung 1254 762384674 Martirosyan-Tran van Trung 1296 762753770 Martirosyan-Tran van Trung 1302 762772404 Martirosyan-Tran van Trung 1316 763141500 Martirosyan-Tran van Trung 1320 763702046 Martirosyan-Tran van Trung 1322 763739006 Martirosyan-Tran van Trung 1330 773412782 Martirosyan-Tran van Trung 1344 773973328 Martirosyan-Tran van Trung 1352 773997968 Martirosyan-Tran van Trung 1358 775808878 Martirosyan-Tran van Trung 1360 776369424 Martirosyan-Tran van Trung 1404 782809154 Martirosyan-Tran van Trung 1420 783190570 Martirosyan-Tran van Trung 1428 787969786 Martirosyan-Tran van Trung 1430 788530332 Martirosyan-Tran van Trung 1442 789584396 Martirosyan-Tran van Trung 1456 790710460 Martirosyan-Tran van Trung 1460 791836524 Martirosyan-Tran van Trung 1461 833619144 Add a factor 1462 838062374 Martirosyan-Tran van Trung 1464 875222486 Martirosyan-Tran van Trung 1466 891128856 Martirosyan-Tran van Trung 1470 896278296 Martirosyan-Tran van Trung 1500 898530424 Martirosyan-Tran van Trung 1512 898542744 Martirosyan-Tran van Trung 1514 898925786 Martirosyan-Tran van Trung 1516 908361806 Martirosyan-Tran van Trung 1520 910998734 Martirosyan-Tran van Trung 1534 911011054 Martirosyan-Tran van Trung 1536 927008878 Martirosyan-Tran van Trung 1538 928878471 Martirosyan-Tran van Trung 1540 931332087 Martirosyan-Tran van Trung 1550 942685191 Martirosyan-Tran van Trung 1560 943201863 Martirosyan-Tran van Trung 1568 943268391 Martirosyan-Tran van Trung 1576 958268409 Martirosyan-Tran van Trung 1584 958280729 Martirosyan-Tran van Trung 1590 958637074 Martirosyan-Tran van Trung 1600 960197458 Martirosyan-Tran van Trung 1620 960234418 Martirosyan-Tran van Trung 1624 960345298 Martirosyan-Tran van Trung 1632 969781318 Martirosyan-Tran van Trung 1648 969793638 Martirosyan-Tran van Trung 1660 969818278 Martirosyan-Tran van Trung 1664 975631270 Martirosyan-Tran van Trung 1680 975798789 Martirosyan-Tran van Trung 1682 975897349 Martirosyan-Tran van Trung 1720 1008802440 Power N-CT43^2T3 1849 1013629246 Power N-CT43^2 1850 1015039382 Power N-CT43^2+1 1880 1034487385 Power N-CT47^2T7 1892 1037439150 Power N-CT47^2T4T3 1936 1037539874 Power N-CT47^2T3T3 2021 1039314191 Power N-CT47^2T4 2068 1039414915 Power N-CT47^2T3 2210 1041289956 Power N-CT47^2+1 2257 1066722175 Power N-CT61^2T24 2440 1071548981 Power N-CT61^2T21 2544 1075580420 Power N-CT53^2T5 2623 1076375787 Power N-CT61^2T18 2684 1076476511 Power N-CT61^2T17 2811 1078218148 Power N-CT53^2+2 2928 1078351552 Power N-CT61^2T13 3050 1080604823 Power N-CT61^2T11 3355 1080989280 Power N-CT61^2T6 3724 1081202444 Power N-CT61^2+3 3751 1113263634 Power N-CT67^2Arc(12) 3807 1129293186 Power N-CT67^2Arc(11) 3864 1145322738 Power N-CT67^2Arc(10) 3922 1161352290 Power N-CT67^2Arc(9) 3981 1177381842 Power N-CT67^2Arc(8) 4041 1193411394 Power N-CT67^2Arc(7) 4102 1209440946 Power N-CT67^2Arc(6) 4164 1225470498 Power N-CT67^2Arc(5) 4227 1241500050 Power N-CT67^2Arc(4) 4291 1257529602 Power N-CT67^2Arc(3) 5040 1273256506 Power CT31^3T17S30 5400 1277016658 Power CT31^3T16S30 5758 1280776810 Power CT31^3T15S30 6119 1285206907 Power CT31^3T14S30 6477 1287736923 Power CT31^3T13S30 7197 1290215489 Power CT31^3T11S30 7915 1290656918 Power CT31^3T9S30 9351 1291078570 Power CT31^3T5S30 10000 1291447666 Power CT31^3T3S30

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