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

Last Updated Sat Nov 16 19:19:53 MST 2019

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 15 3528479 4-Restricted SCPHF RE (CL) fuse 19 5153619 5-Restricted SCPHF RE (CL) fuse 21 5300029 4-Restricted SCPHF RE (CL) fuse 22 5313339 3-Restricted SCPHF RE (CL) fuse 26 6764129 5,5-Restricted SCPHF RE (CL) fuse 28 6925169 5-Restricted SCPHF RE (CL) fuse 30 7071579 4-Restricted SCPHF RE (CL) fuse 31 7086099 2-Restricted SCPHF RE (CL) fuse 35 8535679 5,5-Restricted SCPHF RE (CL) fuse 41 8696719 5-Restricted SCPHF RE (CL) fuse 43 8843129 4-Restricted SCPHF RE (CL) fuse 44 8856439 3-Restricted SCPHF RE (CL) fuse 45 8857649 2-Restricted SCPHF RE (CL) fuse 46 8857759 SCPHF Random Extension (CLS) fuse 47 10146189 5,5,5-Restricted SCPHF RE (CL) fuse 54 10307229 5,5-Restricted SCPHF RE (CL) fuse 60 10468269 5-Restricted SCPHF RE (CL) fuse 61 10614679 4-Restricted SCPHF RE (CL) fuse 66 10627989 3-Restricted SCPHF RE (CL) fuse 67 10629309 SCPHF Random Extension (CLS) fuse 68 10629359 CPHF Random Extension (CLS) fuse 74 11917739 5,5,5-Restricted SCPHF RE (CL) fuse 83 12078779 5,5-Restricted SCPHF RE (CL) fuse 88 12239819 5-Restricted SCPHF RE (CL) fuse 95 12386229 4-Restricted SCPHF RE (CL) fuse 97 12399539 3-Restricted SCPHF RE (CL) fuse 100 12400749 2-Restricted SCPHF RE (CL) fuse 107 13689289 5,5,5-Restricted SCPHF RE (CL) fuse 121 13850329 5,5-Restricted SCPHF RE (CL) fuse 132 14011369 5-Restricted SCPHF RE (CL) fuse 141 14157779 4-Restricted SCPHF RE (CL) fuse 145 14171089 3-Restricted SCPHF RE (CL) fuse 147 14172299 2-Restricted SCPHF RE (CL) fuse 150 14172409 SCPHF Random Extension (CLS) fuse 208 15943959 SCPHF Random Extension (CLS) fuse 209 22531869 Add 1 factors 210 25780869 Add 2 factors 211 30557459 Add 3 factors 213 31776963 Add 5 factors 214 33037482 Add 6 factors 215 34761659 Add 11 factors 216 34766059 Add 11 factors 217 34792679 Add 11 factors 219 34805989 Add 11 factors 220 42350599 Add 1 factors 250 43441171 SCPHF Random Extension (CLS) fuse fuse fuse 251 51104581 Add 1 factors 252 54353581 Add 2 factors 253 59473211 Add 3 factors 254 60383587 Martirosyan-TVT 255 60552897 Add 5 factors 264 61437487 Martirosyan-TVT 266 61583897 Martirosyan-TVT 267 62004172 perfect hash family4,328,208T61 270 62004282 perfect hash family4,328,208T58 328 63775832 perfect hash family4,328,208 335 70599150 Martirosyan-TVT variant 339 70742828 Martirosyan-TVT variant 340 72035930 Martirosyan-TVT 341 72288930 Martirosyan-TVT variant 343 73271320 Martirosyan-TVT variant 347 73417198 Martirosyan-TVT variant 364 73563076 Martirosyan-TVT 365 73682866 Martirosyan-TVT variant 381 74558134 Martirosyan-TVT variant 386 74704012 Martirosyan-TVT 387 74730852 Martirosyan-TVT variant 391 74757692 Martirosyan-TVT variant 392 75634280 Martirosyan-TVT 398 75645170 Martirosyan-TVT 399 75672670 Martirosyan-TVT variant 406 75700170 Martirosyan-TVT 407 75710170 Martirosyan-TVT variant 409 75720170 Martirosyan-TVT variant 411 76012966 Martirosyan-TVT variant 414 76159364 Martirosyan-TVT 415 78848754 Martirosyan-TVT variant 476 79719790 perfect hash family5,476,208 477 88699900 Add 1 factors 478 93388900 Add 2 factors 479 93892198 perfect hash family6,541,181T31 568 95663748 perfect hash family6,568,208 575 103876200 Power N-CT29^2Arc(3)T7 595 104022610 Power N-CT29^2Arc(2)T7 616 104169020 Power N-CT29^2T7T1 638 104315430 Power N-CT29^2T7 639 104489670 Power N-CT31^2Arc(2)T9 660 104504190 Power N-CT31^2T9T1 682 104518710 Power N-CT31^2T9 706 105341620 Power N-CT29^2Arc(5) 731 105488030 Power N-CT29^2Arc(4) 757 105634440 Power N-CT29^2Arc(3) 784 105780850 Power N-CT29^2T1T1 812 105927260 Power N-CT29^2T1 842 106073670 Power N-CT29^2+1 868 106130540 Power N-CT31^2T3 871 106247910 Power N-CT31^2Arc(3) 900 106262430 Power N-CT31^2T1T1 930 106276950 Power N-CT31^2T1 961 106291470 Power N-CT31^2 962 116588280 Add 1 factors 1066 119821462 Power N-CT41^2T15 1085 119982392 Power N-CT41^2T10T6 1148 119982502 Power N-CT41^2T13 1230 120128912 Power N-CT41^2T11 1271 120143432 Power N-CT41^2T10 1435 121593012 Power N-CT41^2T6 1681 121754052 Power N-CT41^2 1763 123657382 Power N-CT43^2T2 1849 123803792 Power N-CT43^2 1850 123990132 Power N-CT43^2+1 1851 124007072 Power N-CT43^2+2 1852 124008612 Power N-CT43^2+3 1861 131739192 Power N-CT47^2Arc(8) 1901 133027622 Power N-CT47^2Arc(7) 1942 134316052 Power N-CT47^2Arc(6) 1984 135604482 Power N-CT47^2Arc(5) 2027 136892912 Power N-CT47^2Arc(4) 2071 138181342 Power N-CT47^2Arc(3) 2116 139469772 Power N-CT47^2T1T1 2162 140758202 Power N-CT47^2T1 2209 142046632 Power N-CT47^2 2279 142837092 Power N-CT53^2T10 2332 142850402 Power N-CT53^2T9 2385 142851612 Power N-CT53^2T8 2438 142851722 Power N-CT53^2T7 2491 144140152 Power N-CT53^2T6 2810 144301192 Power N-CT53^2+1 2916 146233672 Power N-CT59^2T5T5 3186 146394712 Power N-CT59^2T5 3482 146555752 Power N-CT59^2+1 3483 148019852 Power N-CT61^2Arc(4) 3541 148166262 Power N-CT61^2Arc(3) 3600 148312672 Power N-CT61^2T1T1 3660 148459082 Power N-CT61^2T1 3721 148605492 Power N-CT61^2 3730 148642672 Power N-CT67^2Arc(5)T7 3786 148643992 Power N-CT67^2Arc(4)T7 3843 148645312 Power N-CT67^2Arc(3)T7 3901 148646632 Power N-CT67^2Arc(2)T7 3960 148647952 Power N-CT67^2T7T1 4020 148649272 Power N-CT67^2T7 4026 148794362 Power N-CT67^2T6T1 4087 148795682 Power N-CT67^2T6 4102 148802392 Power N-CT67^2Arc(6) 4164 148803712 Power N-CT67^2Arc(5) 4227 148805032 Power N-CT67^2Arc(4) 4291 148806352 Power N-CT67^2Arc(3) 4356 148807672 Power N-CT67^2T1T1 4422 148808992 Power N-CT67^2T1 4489 148810312 Power N-CT67^2 4490 148811012 Power N-CT67^2+1 4556 152353784 Power N-CT73^2T6T5 4624 152353834 Power N-CT73^2T5T5 4818 153640844 Power N-CT73^2T7 4891 153642164 Power N-CT73^2T6 4964 153642214 Power N-CT73^2T5 5330 154930594 Power N-CT73^2+1 5478 155573324 Power N-CT83^2T17 5561 155574644 Power N-CT83^2T16 5644 155574694 Power N-CT83^2T15 6142 156863074 Power N-CT83^2T9 6889 157024114 Power N-CT83^2 6894 159117634 perfect hash family13,6894,88 6919 159264044 Power N-CT89^2Arc(12) 6997 159410454 Power N-CT89^2Arc(11) 7076 159556864 Power N-CT89^2Arc(10) 7382 159599214 Power N-CT101^2Arc(13)T18 7822 159760254 Power N-CT101^2Arc(13)T13 8438 159906664 Power N-CT101^2Arc(13)T6 8614 159919974 Power N-CT101^2Arc(13)T4 8790 159921184 Power N-CT101^2Arc(13)T2 8839 161154064 Power N-CT97^2Trin2,2,2 9025 161167374 Power N-CT97^2T2T2 9215 161180684 Power N-CT97^2T2 9409 161193994 Power N-CT97^2 9412 161209724 Power N-CT97^2+3 9421 167652424 Power N-CT101^2Arc(8) 9515 168940964 Power N-CT101^2Arc(7) 9610 170229504 Power N-CT101^2Arc(6) 9706 171518044 Power N-CT101^2Arc(5) 9803 172806584 Power N-CT101^2Arc(4) 9901 174095124 Power N-CT101^2Arc(3) 10000 175383664 Power N-CT101^2T1T1

Graph: