Table for CAN(6,k,11) 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,11) 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 12 1771561 orthogonal array 13 3367430 extended OA (Colbourn) 14 4826805 orthogonal array fuse fuse 15 6588450 Add 2 factors 16 8198960 Add 3 factors 22 8213601 double OA (Colbourn-Zhou) 24 8373321 double OA (Colbourn-Zhou) 25 11593131 Add 1 factors 26 14667741 Add 2 factors 27 17329741 Add 3 factors 28 18940251 Add 4 factors 29 20005051 Add 11 factors 30 20084911 Add 11 factors 31 20098221 Add 11 factors 32 20204701 Add 11 factors 33 20284561 Add 11 factors 34 20444281 Add 11 factors 35 20550761 Add 11 factors 36 25261401 Add 11 factors 37 28589781 Add 2 factors 39 31386388 Martirosyan-TVT variant 41 31854724 Martirosyan-TVT variant 44 32205976 Martirosyan-TVT 45 32365696 Martirosyan-TVT variant 46 32834032 Martirosyan-TVT 47 35472032 Martirosyan-TVT variant 48 38364798 Martirosyan-TVT 49 40745880 perfect hash family23,49,12 50 42517440 perfect hash family24,50,12 52 44289000 perfect hash family25,52,12 55 46060560 perfect hash family26,55,12 59 47832120 perfect hash family27,59,12 60 52282995 perfect hash family16,65,13T1 65 53878864 perfect hash family16,65,13 66 60320574 Add 1 factors 67 61754346 Martirosyan-TVT variant 68 61930030 Martirosyan-TVT 70 62133310 Martirosyan-TVT 71 66899520 Martirosyan-TVT variant 72 67075204 Martirosyan-TVT 76 69836014 Add 11 factors 77 76277724 Add 11 factors 78 77711496 Add 11 factors 79 77887180 Add 11 factors 81 78090460 Add 11 factors 82 81777757 Martirosyan-TVT 88 82129009 Martirosyan-TVT 90 82288729 Martirosyan-TVT 92 82936365 Martirosyan-TVT 94 85574365 Martirosyan-TVT 96 88467131 Martirosyan-TVT 98 90848213 Martirosyan-TVT 100 92619773 Martirosyan-TVT 101 94417843 Martirosyan-TVT variant 104 94444453 Martirosyan-TVT 108 96216013 Martirosyan-TVT 110 96264413 Martirosyan-TVT 118 98035973 Martirosyan-TVT 120 102486848 Martirosyan-TVT 126 104082717 Martirosyan-TVT 130 104108017 Martirosyan-TVT 132 110549727 Martirosyan-TVT 134 111983499 Martirosyan-TVT 136 112159183 Martirosyan-TVT 140 112362463 Martirosyan-TVT 141 115078244 Power CT16^2Arc(10) 144 116084214 Power CT16^2TD(4):2,2,2,2,1 145 116235349 Power CT16^2Arc(12):3 twos,3 ones 146 116386484 Power CT16^2Arc(14):2 twos,5 ones 147 116537619 Power CT16^2Arc(16):1 twos,7 ones 148 116688754 Power CT16^2Arc(9) 152 117694724 Power CT16^2TD(4):2,2,2,2,0 153 117845859 Power CT16^2TD(4):2,2,2,1,1 154 117996994 Power CT16^2Arc(12):2 twos,4 ones 155 118148129 Power CT16^2Arc(14):1 twos,6 ones 156 118299264 Power CT16^2Arc(8) 162 119456369 Power CT16^2TD(4):2,2,2,1,0 163 119607504 Power CT16^2TD(4):2,2,1,1,1 164 119758639 Power CT16^2Arc(5)T2 165 119909774 Power CT16^2Arc(7) 172 121066879 Power CT16^2TD(2):2,2,2 173 121218014 Power CT16^2TD(4):2,2,1,1,0 174 121369149 Power CT16^2Arc(4)T2 175 121520284 Power CT16^2Arc(6) 184 122828524 Power CT16^2TD(2):1,2,2 185 122979659 Power CT16^2Arc(3)T2 186 123130794 Power CT16^2Arc(5) 196 124439034 Power CT16^2T2T2 197 124590169 Power CT16^2Arc(2)T2 198 124741304 Power CT16^2Arc(4) 228 124975560 Power CT19^2T7 247 126571429 Power CT19^2T6 253 127051920 Power CT23^2Arc(2)T11 264 127211640 Power CT23^2T11T1 276 127371360 Power CT23^2T11 286 128807509 Power CT23^2T10T1 299 128967229 Power CT23^2T10 308 130266884 Power CT23^2T9T1 322 130426604 Power CT23^2T9 364 131417600 Power CT19^2+3 373 132695360 Power CT23^2Arc(8) 389 132855080 Power CT23^2Arc(7) 406 133014800 Power CT23^2Arc(6) 424 133174520 Power CT23^2Arc(5) 443 133334240 Power CT23^2Arc(4) 463 133493960 Power CT23^2Arc(3) 484 133653680 Power CT23^2T1T1 506 133813400 Power CT23^2T1 530 133973120 Power CT23^2+1 531 149187330 Add 1 factors 532 156654240 Add 2 factors 533 161192950 Add 3 factors 534 162803460 Add 4 factors 541 164413970 Add 11 factors 553 175830650 Power CT25^2Arc(3) 576 179050460 Power CT25^2T1T1 600 182270270 Power CT25^2T1 625 185490080 Power CT25^2 626 200715290 Add 1 factors 627 208194300 Add 2 factors 628 212733010 Add 3 factors 629 214343520 Add 4 factors 636 215954030 Add 11 factors 637 231179240 Add 11 factors 638 236832956 Add 13 factors 639 243196960 Add 11 factors 640 244807470 Add 11 factors 647 246417980 Add 11 factors 648 261643190 Add 11 factors 649 267296906 Add 13 factors 650 268877230 Power CT27^2T2T1 651 269289840 Power CT27^2Arc(3) 675 271539230 Power CT27^2T2 676 271951840 Power CT27^2T1T1 702 274613840 Power CT27^2T1 729 277275840 Power CT27^2 744 289748400 Power N-CT31^2T7 750 292954900 Power N-CT31^2T6T1 775 292968210 Power N-CT31^2T6 780 296029510 Power N-CT31^2T5T1 806 296042820 Power N-CT31^2T5 810 298691510 Power N-CT31^2T4T1 837 298704820 Power N-CT31^2T4 841 300075750 Power N-CT29^2 868 300315330 Power N-CT31^2T3 870 301366820 Power N-CT31^2T2T1 899 301380130 Power N-CT31^2T2 900 301446680 Power N-CT31^2T1T1 930 301459990 Power N-CT31^2T1 961 301473300 Power N-CT31^2 962 303070500 Power N-CT31^2+1 963 304268400 Power N-CT31^2+2 964 306664200 Power N-CT31^2+3 965 323047710 Add 1 factors 992 323168720 Power CT32^2T1 1024 323275200 Power CT32^2 1025 324552960 Power CT32^2+1 1026 327108480 Power CT32^2+2 1027 328812160 Power CT32^2+3 1060 329338663 Martirosyan-TVT 1061 345722173 Add 1 factors 1062 351340973 Martirosyan-TVT 1063 357739893 Add 3 factors 1064 359350403 Add 4 factors 1071 360960913 Add 11 factors 1082 373621913 Martirosyan-TVT 1083 390005423 Add 1 factors 1084 391826693 Martirosyan-TVT 1086 394065793 Martirosyan-TVT 1088 397416893 Martirosyan-TVT 1100 398880993 Martirosyan-TVT 1101 398970632 Martirosyan-TVT variant 1102 399060352 Martirosyan-TVT 1103 399066532 Martirosyan-TVT variant 1104 399072713 Martirosyan-TVT 1106 400044333 Martirosyan-TVT 1130 404165780 Power N-CT37^2Arc(5)T2 1159 404729640 Power N-CT37^2Trin2,2,2 1161 407494160 Power N-CT37^2Arc(4)T2 1162 408876420 Power N-CT37^2Arc(6) 1192 409440280 Power N-CT37^2Trin1,2,2 1193 410822540 Power N-CT37^2Arc(3)T2 1200 412074153 Martirosyan-TVT 1225 412768660 Power N-CT37^2T2T2 1226 414150920 Power N-CT37^2Arc(2)T2 1227 415533180 Power N-CT37^2Arc(4) 1260 417479300 Power N-CT37^2T2T1 1261 418861560 Power N-CT37^2Arc(3) 1295 420807680 Power N-CT37^2T2 1296 422189940 Power N-CT37^2T1T1 1332 425518320 Power N-CT37^2T1 1369 428846700 Power N-CT37^2 1394 434555679 Power N-CT41^2T7 1435 434662159 Power N-CT41^2T6 1462 439121955 Power N-CT43^2T9 1505 439228435 Power N-CT43^2T8 1517 442701179 Power N-CT41^2T4 1548 443939075 Power N-CT43^2T7 1599 445497786 Power N-CT41^2T2 1681 445966122 Power N-CT41^2 1763 450532398 Power N-CT43^2T2 1850 450883650 Power N-CT43^2+1 1851 453119730 Power N-CT43^2+2 1852 459676434 Power N-CT43^2+3 1861 475504434 Power N-CT47^2Arc(8) 1901 478142434 Power N-CT47^2Arc(7) 1942 480780434 Power N-CT47^2Arc(6) 1984 483418434 Power N-CT47^2Arc(5) 2027 486056434 Power N-CT47^2Arc(4) 2071 488694434 Power N-CT47^2Arc(3) 2116 491332434 Power N-CT47^2T1T1 2162 493970434 Power N-CT47^2T1 2209 496608434 Power N-CT47^2 2210 521271204 Add 1 factors 2211 531432784 Add 2 factors 2212 536503894 Add 3 factors 2213 538114404 Add 4 factors 2220 539724914 Add 11 factors 2221 564387684 Add 11 factors 2222 566886122 Add 13 factors 2352 574175328 Power CT31^3T19T17T17 2366 574311822 Power CT31^3T18T18T17 3168 574506880 Power CT31^3T19T19T9 3456 574666600 Power CT31^3T19T19T7 3744 576262469 Power CT31^3T19T18T7 4032 577721844 Power CT31^3T19T17T7 4056 577858338 Power CT31^3T18T18T7 4368 579317713 Power CT31^3T18T17T7 4704 580777088 Power CT31^3T17T17T7 5808 580948920 Power CT31^3T19T9T9 6336 581108640 Power CT31^3T19T9T7 6912 581268360 Power CT31^3T19T7T7 7488 582864229 Power CT31^3T18T7T7 8064 584323604 Power CT31^3T17T7T7 8640 586085249 Power CT31^3T16T7T7 10000 587390960 Power CT31^3T10T9T9

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