Table for CAN(6,k,10) for k up to 10000

Last Updated Mon May 9 06:41:48 MST 2016

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,10) 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 1000000 composition 8 1229001 Augment OA 9 1357802 Augment OA 10 1494326 Augment OA 12 1771559 orthogonal array fuse 13 2928200 extended OA (Colbourn) special fuse 14 4232969 Add 2 factors 15 5407880 Add 2 factors 16 6979459 Martirosyan-TVT 17 7281091 Martirosyan-TVT variant 18 7350206 Martirosyan-TVT 19 7607707 Martirosyan-TVT variant 20 7668931 Martirosyan-TVT 21 8092186 Martirosyan-TVT variant 22 8208722 Martirosyan-TVT 23 8249574 Martirosyan-TVT variant 24 8303219 Martirosyan-TVT 25 10922219 Add 1 factors 26 13034519 Add 2 factors 27 15826659 Add 3 factors 28 16567536 Martirosyan-TVT 29 17578389 Add 5 factors 30 18442730 Add 6 factors 31 18668711 Add 11 factors 32 19107586 Add 11 factors 33 19451382 Add 11 factors 34 19556804 Add 11 factors 35 19694709 Add 11 factors 36 23205809 Add 11 factors 37 25986519 Add 2 factors 38 26584966 Martirosyan-TVT 39 26690070 Martirosyan-TVT variant 40 26712080 Martirosyan-TVT 41 27493540 Martirosyan-TVT variant 42 28135366 Martirosyan-TVT 43 28349528 Martirosyan-TVT variant 44 28599335 Martirosyan-TVT 45 28707482 Martirosyan-TVT variant 46 29031460 Martirosyan-TVT 47 30358234 Martirosyan-TVT variant 48 32109602 Martirosyan-TVT 49 37371542 Add 1 factors 50 39730442 Add 2 factors 51 41717270 Add 5 factors 52 42713030 Add 11 factors 53 43439776 Add 11 factors 54 43657568 Add 11 factors 55 43907375 Add 11 factors 56 44015522 Add 11 factors 57 44339500 Add 11 factors 60 45694543 perfect hash family16,65,13T1 65 46851184 perfect hash family16,65,13 66 52121494 Add 1 factors 67 54514594 Add 2 factors 68 54758333 Martirosyan-TVT 70 54896238 Martirosyan-TVT 71 58428130 Martirosyan-TVT variant 72 58448986 Martirosyan-TVT 73 61632995 Martirosyan-TVT variant 74 62247861 Martirosyan-TVT 76 62273294 Add 11 factors 77 67543604 Add 11 factors 78 68563334 Martirosyan-TVT 79 68676964 Martirosyan-TVT variant 80 68791784 Martirosyan-TVT 81 69730434 Martirosyan-TVT variant 82 69884834 Martirosyan-TVT 83 70534514 Martirosyan-TVT variant 84 70542377 Martirosyan-TVT 86 70765881 Martirosyan-TVT 88 71107308 Martirosyan-TVT 90 71224572 Martirosyan-TVT 91 71608365 Martirosyan-TVT variant 92 71665165 Martirosyan-TVT 94 72991939 Martirosyan-TVT 95 74761654 Martirosyan-TVT variant 96 74780050 Martirosyan-TVT 98 80133961 Martirosyan-TVT 99 82501717 Martirosyan-TVT variant 100 82735581 Martirosyan-TVT 101 84826821 Martirosyan-TVT variant 102 84928036 Martirosyan-TVT 104 85923796 Martirosyan-TVT 120 86526064 Power CT16^2Arc(16) 121 88097643 Power CT16^2Arc(15) 123 89669222 Power CT16^2Arc(14) 126 90265647 Martirosyan-TVT 128 90274638 Martirosyan-TVT 130 90378741 Martirosyan-TVT 135 94383959 Power CT16^2Arc(11) 141 95955538 Power CT16^2Arc(10) 148 97527117 Power CT16^2Arc(9) 156 99098696 Power CT16^2Arc(8) 165 100670275 Power CT16^2Arc(7) 175 102241854 Power CT16^2Arc(6) 186 103813433 Power CT16^2Arc(5) 198 105385012 Power CT16^2Arc(4) 211 106956591 Power CT16^2Arc(3) 225 108528170 Power CT16^2T1T1 240 110099749 Power CT16^2T1 256 111671328 Power CT16^2 272 116195808 Power CT17^2T1 289 116497440 Power CT17^2 290 117603280 Power CT17^2+1 291 120693292 Power CT19^2Arc(4) 307 120950793 Power CT19^2Arc(3) 324 121208294 Power CT19^2T1T1 342 121465795 Power CT19^2T1 361 121723296 Power CT19^2 362 122702880 Power CT19^2+1 363 129474960 Power CT19^2+2 366 130674494 Power CT23^2Trin2,3,3 368 130723053 Power CT23^2T7 380 130770658 Power CT23^2T4T3 383 130791030 Power CT23^2Trin1,3,3 400 130831882 Power CT23^2T3T3 414 131093800 Power CT23^2T5 420 131255137 Power CT23^2T3T2 421 131330821 Power CT23^2Arc(2)T3 437 131351301 Power CT23^2T4 440 131371673 Power CT23^2T3T1 460 131412525 Power CT23^2T3 462 131794928 Power CT23^2T2T1 483 131835780 Power CT23^2T2 484 131911464 Power CT23^2T1T1 506 131952316 Power CT23^2T1 529 131993168 Power CT23^2 530 132851488 Power CT23^2+1 531 145205788 Add 1 factors 532 150074788 Add 2 factors 534 156453049 Add 5 factors 535 157311369 Add 5 factors 536 159617327 Add 6 factors 540 160706578 Add 11 factors 541 161564898 Add 11 factors 553 166898488 Power CT25^2Arc(3) 576 169517488 Power CT25^2T1T1 600 172136488 Power CT25^2T1 625 174755488 Power CT25^2 626 187212298 Add 1 factors 627 192370198 Add 2 factors 628 199533328 Add 3 factors 630 199700265 Add 5 factors 631 202055185 Add 6 factors 636 204009218 Add 11 factors 637 216466028 Add 11 factors 638 221623928 Add 11 factors 639 228787058 Add 11 factors 641 228953995 Add 11 factors 642 231308915 Add 11 factors 647 233262948 Add 11 factors 651 244850108 Power CT27^2Arc(3) 676 247642248 Power CT27^2T1T1 702 250434388 Power CT27^2T1 729 253226528 Power CT27^2 754 259131950 Power N-CT29^2T3 757 260643261 Power N-CT29^2Arc(3) 784 261654114 Power N-CT29^2T1T1 812 262664967 Power N-CT29^2T1 841 263675820 Power N-CT29^2 842 276132630 Add 1 factors 868 277929475 Power N-CT31^2T3 870 278714347 Power N-CT31^2T2T1 899 278940328 Power N-CT31^2T2 900 279578688 Power N-CT31^2T1T1 930 279804669 Power N-CT31^2T1 961 280030650 Power N-CT31^2 962 286613775 Power N-CT31^2+1 963 291770715 Power N-CT31^2+2 964 293352045 Power N-CT31^2+3 966 294439711 Martirosyan-TVT 968 294561322 Martirosyan-TVT 1012 294636635 Martirosyan-TVT 1044 294711948 Martirosyan-TVT 1045 295753948 Martirosyan-TVT variant 1058 296835948 Martirosyan-TVT 1060 298001168 Martirosyan-TVT 1061 311405678 Add 1 factors 1062 314737568 Martirosyan-TVT 1064 322036568 Martirosyan-TVT 1065 324476482 Add 5 factors 1066 326977061 Add 6 factors 1069 327833618 Add 11 factors 1071 328998838 Add 11 factors 1072 335598597 Martirosyan-TVT 1078 336687848 Martirosyan-TVT 1079 336999548 Martirosyan-TVT variant 1080 337311248 Martirosyan-TVT 1082 338476468 Martirosyan-TVT 1084 348192158 Martirosyan-TVT 1085 350829161 Martirosyan-TVT variant 1098 352542161 Martirosyan-TVT 1100 352802081 Martirosyan-TVT 1101 352832081 Martirosyan-TVT variant 1104 352862081 Martirosyan-TVT 1106 353450384 Martirosyan-TVT 1144 356069384 Martirosyan-TVT 1145 356189294 Martirosyan-TVT variant 1146 356309645 Martirosyan-TVT 1152 356569565 Martirosyan-TVT 1154 361941260 Martirosyan-TVT 1156 362006240 Martirosyan-TVT 1177 362136200 Martirosyan-TVT variant 1198 362413018 Martirosyan-TVT 1200 362607958 Martirosyan-TVT 1209 365226958 Martirosyan-TVT variant 1210 365503776 Martirosyan-TVT 1236 365568756 Martirosyan-TVT 1248 365633736 Martirosyan-TVT 1250 366759222 Martirosyan-TVT 1260 372822984 Power N-CT41^2T6T5 1270 373203415 Power N-CT41^2Arc(5)T6 1301 373984875 Power N-CT41^2Arc(4)T6 1333 374766335 Power N-CT41^2Arc(3)T6 1366 375547795 Power N-CT41^2Arc(2)T6 1400 376329255 Power N-CT41^2T6T1 1435 377110715 Power N-CT41^2T6 1440 379840355 Power N-CT41^2T5T1 1450 380220786 Power N-CT41^2Arc(6) 1476 380621815 Power N-CT41^2T5 1486 381002246 Power N-CT41^2Arc(5) 1523 381783706 Power N-CT41^2Arc(4) 1561 382565166 Power N-CT41^2Arc(3) 1600 383346626 Power N-CT41^2T1T1 1640 384128086 Power N-CT41^2T1 1681 384909546 Power N-CT41^2 1682 393895110 Power N-CT41^2+1 1720 395255930 Power N-CT43^2T3 1722 395823228 Power N-CT43^2T2T1 1763 396037390 Power N-CT43^2T2 1764 396465054 Power N-CT43^2T1T1 1806 396679216 Power N-CT43^2T1 1849 396893378 Power N-CT43^2 1850 400390676 Power N-CT43^2+1 1851 401904734 Power N-CT43^2+2 1852 406440426 Power N-CT43^2+3 1861 414401070 Power N-CT47^2Arc(8) 1901 415727844 Power N-CT47^2Arc(7) 1942 417054618 Power N-CT47^2Arc(6) 1984 418381392 Power N-CT47^2Arc(5) 2027 419708166 Power N-CT47^2Arc(4) 2071 421034940 Power N-CT47^2Arc(3) 2116 422361714 Power N-CT47^2T1T1 2162 423688488 Power N-CT47^2T1 2209 425015262 Power N-CT47^2 2210 444057012 Add 1 factors 2211 450806112 Add 2 factors 2214 459272301 Add 5 factors 2215 462520465 Add 6 factors 2220 464922382 Add 11 factors 2221 483964132 Add 11 factors 2222 489996438 Add 13 factors 2225 499179421 Add 11 factors 2226 502427585 Add 11 factors 2231 504829502 Add 11 factors 2232 523871252 Add 11 factors 2233 529903558 Add 13 factors 2366 532813246 Power CT31^3T18T18T17 2448 533548086 Power CT31^3T19T19T14 2592 533617201 Power CT31^3T19T19T13 2736 533874702 Power CT31^3T19T19T12 2880 533935926 Power CT31^3T19T19T11 3024 534359181 Power CT31^3T19T19T10 3168 534475717 Power CT31^3T19T19T9 3312 534516569 Power CT31^3T19T19T8 3456 534570214 Power CT31^3T19T19T7 3588 535673210 Power CT31^3T19T18T8 3744 535726855 Power CT31^3T19T18T7 3887 536829851 Power CT31^3T18T18T8 4056 536883496 Power CT31^3T18T18T7 4186 538134620 Power CT31^3T18T17T8 4368 538188265 Power CT31^3T18T17T7 4485 539309531 Power CT31^3T18T16T8 4680 539363176 Power CT31^3T18T16T7 4704 539493034 Power CT31^3T17T17T7 4800 539833298 Power CT31^3T19T11T11 4896 540079746 Power CT31^3T19T14T7 4968 540095216 Power CT31^3T19T13T8 5184 540148861 Power CT31^3T19T13T7 5244 540352717 Power CT31^3T19T12T8 5280 540373089 Power CT31^3T19T11T9 5472 540406362 Power CT31^3T19T12T7 5520 540413941 Power CT31^3T19T11T8 5760 540467586 Power CT31^3T19T11T7 5796 540837196 Power CT31^3T19T10T8 6048 540890841 Power CT31^3T19T10T7 6072 540953732 Power CT31^3T19T9T8 6348 540994584 Power CT31^3T19T8T8 6624 541048229 Power CT31^3T19T8T7 6912 541101874 Power CT31^3T19T7T7 7176 542204870 Power CT31^3T18T8T7 7488 542258515 Power CT31^3T18T7T7 7728 543509639 Power CT31^3T17T8T7 8064 543563284 Power CT31^3T17T7T7 8280 544684550 Power CT31^3T16T8T7 8640 544738195 Power CT31^3T16T7T7 8664 546242510 Power CT31^3T12T12T7 8740 546250089 Power CT31^3T12T11T8 8832 546256129 Power CT31^3T15T8T7 9120 546303734 Power CT31^3T12T11T7 9216 546309774 Power CT31^3T15T7T7 9600 546364958 Power CT31^3T11T11T7 9792 546611406 Power CT31^3T14T7T7 9936 546626876 Power CT31^3T13T8T7 10000 546680521 Power CT31^3T13T7T7

Graph: