Table for CAN(6,k,14) for k up to 10000

Last Updated Fri Mar 27 17:29:25 MST 2015

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,14) 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 7529536 composition 8 8724225 Augment OA 9 9383502 Augment OA 10 10083278 Augment OA 11 10822128 Augment OA 12 11598564 Augment OA 13 12407628 Augment OA 14 13241592 Augment OA 17 16777212 orthogonal array fuse fuse 18 24137563 orthogonal array fuse fuse fuse 19 36041819 Add 1 factors 20 46266943 Add 2 factors 21 56193558 Martirosyan-TVT variant 22 57515483 Martirosyan-TVT 23 60301585 Martirosyan-TVT variant 24 62228147 Martirosyan-TVT 25 64428312 Martirosyan-TVT variant 26 65447563 Martirosyan-TVT 27 67294149 Martirosyan-TVT variant 28 68583847 Martirosyan-TVT 29 75350232 Martirosyan-TVT variant 30 77632841 Martirosyan-TVT 31 77853240 Martirosyan-TVT variant 32 78205650 Martirosyan-TVT 33 78253317 Martirosyan-TVT variant 34 78431921 Martirosyan-TVT 35 94913652 Martirosyan-TVT variant 36 99706364 Martirosyan-TVT 37 131335416 Add 1 factors 38 149744716 Add 2 factors 39 157492874 Add 5 factors 40 163484753 Add 6 factors 41 171872232 Add 16 factors 42 175074523 Add 16 factors 43 177351189 Add 16 factors 44 179408407 Add 16 factors 45 186236232 Add 16 factors 46 191970281 Add 16 factors 47 192190680 Add 16 factors 48 193593330 Add 16 factors 49 193702437 Add 16 factors 50 194011121 Add 16 factors 52 196094840 perfect hash family16,65,13S3 56 196903904 perfect hash family16,65,13S2 60 197712968 perfect hash family16,65,13T1 65 198522032 perfect hash family16,65,13 66 211865456 perfect hash family16,66,14 112 236614796 Power CT16^2Arc(18):9 twos,0 ones 116 243686036 Power CT16^2Arc(14):7 twos,0 ones 124 247221656 Power CT16^2Arc(12):6 twos,0 ones 128 249923312 Power CT16^2TD(4):3,2,2,2,2 136 250757276 Power CT16^2TD(4):2,2,2,2,2 142 253458932 Power CT16^2TD(4):3,2,2,2,0 152 254292896 Power CT16^2TD(4):2,2,2,2,0 160 256994552 Power CT16^2TD(2):2,2,3 172 257828516 Power CT16^2TD(2):2,2,2 182 260530172 Power CT16^2T3T2 196 261364136 Power CT16^2T2T2 204 263256728 Power CT17^2T5 221 264065792 Power CT17^2T4 238 264899756 Power CT17^2T3 256 268435212 perfect hash family16,256,16,c fuse fuse 289 268435376 Power CT17^2 290 327966484 Add 1 factors 291 352985296 Add 2 factors 292 383964034 Add 3 factors 294 391269203 Add 5 factors 295 400614376 Add 6 factors 305 442027856 Add 16 factors 306 479922448 Add 17 factors 320 530176818 perfect hash family32,512,16T6 352 530915668 perfect hash family32,512,16T5 384 531692104 perfect hash family32,512,16T4 416 532501168 perfect hash family32,512,16T3 448 533335132 perfect hash family32,512,16T2 512 536870412 perfect hash family32,512,16,c fuse fuse 513 536870752 perfect hash family32,513,17 514 622478092 Add 1 factors 515 654012140 Add 2 factors 516 694326456 Add 3 factors 517 698002210 Add 5 factors 518 698046538 Add 5 factors 519 710328060 Add 6 factors 527 760627692 Add 16 factors 528 761242092 Add 16 factors 529 761303872 Add 16 factors 544 775914180 Martirosyan-TVT 545 778834671 Martirosyan-TVT variant 546 782409350 Martirosyan-TVT 547 795770534 Martirosyan-TVT variant 578 811795142 Martirosyan-TVT 579 904645430 Martirosyan-TVT variant 580 916130108 Martirosyan-TVT 581 956187216 Martirosyan-TVT variant 582 956885842 Martirosyan-TVT 583 981304512 Add 5 factors 584 994221392 Add 6 factors 586 1010343583 Martirosyan-TVT 588 1011862542 Martirosyan-TVT 600 1028652811 Power CT25^2T1 625 1030852976 Power CT25^2 626 1047160992 Power CT25^2+1 627 1069320024 Power CT27^2Arc(4) 651 1071166610 Power CT27^2Arc(3) 676 1073013196 Power CT27^2T1T1 702 1074859782 Power CT27^2T1 729 1076706368 Power CT27^2 730 1097341536 Power CT27^2+1 731 1103187925 Power N-CT29^2Arc(4) 757 1109954310 Power N-CT29^2Arc(3) 784 1116720695 Power N-CT29^2T1T1 812 1123487080 Power N-CT29^2T1 841 1130253465 Power N-CT29^2 868 1158529192 Power N-CT31^2T3 870 1165075178 Power N-CT31^2T2T1 899 1165295577 Power N-CT31^2T2 900 1167357787 Power N-CT31^2T1T1 930 1167578186 Power N-CT31^2T1 961 1167798585 Power N-CT31^2 962 1173084735 Power N-CT31^2+1 963 1173799740 Power N-CT31^2+2 964 1176478800 Power N-CT31^2+3 992 1250937974 Power CT32^2T1 1024 1251290384 Power CT32^2 1025 1252053056 Power CT32^2+1 1026 1254910720 Power CT32^2+2 1027 1363482638 Add 1 factors 1028 1400973910 Add 2 factors 1029 1444589506 Add 5 factors 1030 1445352178 Add 5 factors 1031 1448209842 Add 5 factors 1032 1462977060 Add 6 factors 1037 1516273184 Add 16 factors 1040 1518179264 Add 16 factors 1041 1518941936 Add 16 factors 1042 1521799600 Add 16 factors 1043 1574901312 Add 17 factors 1044 1653740705 Power N-CT37^2Arc(10) 1072 1685369757 Power N-CT37^2Arc(9) 1101 1716998809 Power N-CT37^2Arc(8) 1131 1748627861 Power N-CT37^2Arc(7) 1162 1780256913 Power N-CT37^2Arc(6) 1194 1811885965 Power N-CT37^2Arc(5) 1227 1843515017 Power N-CT37^2Arc(4) 1261 1875144069 Power N-CT37^2Arc(3) 1296 1906773121 Power N-CT37^2T1T1 1332 1938402173 Power N-CT37^2T1 1369 1970031225 Power N-CT37^2 1370 2082988069 Add 1 factors 1371 2128034161 Add 2 factors 1425 2147483008 perfect hash family128,1425,17 1452 2213133509 Power CT31^3T20T20T19 1584 2213909945 Power CT31^3T20T19T19 1728 2214686381 Power CT31^3T19T19T19 1872 2215495445 Power CT31^3T19T19T18 2028 2216304509 Power CT31^3T19T18T18 2197 2217113573 Power CT31^3T18T18T18 2366 2217947537 Power CT31^3T18T18T17 2548 2218781501 Power CT31^3T18T17T17 2744 2219615465 Power CT31^3T17T17T17 2873 2221483157 Power CT31^3T18T18T14 3094 2222317121 Power CT31^3T18T17T14 3332 2223151085 Power CT31^3T17T17T14 3468 2225043677 Power CT31^3T19T14T14 3757 2225852741 Power CT31^3T18T14T14 4046 2226686705 Power CT31^3T17T14T14 4913 2230222325 Power CT31^3T14T14T14 5202 2237582676 Power CT31^3T14T14T13 5508 2244943027 Power CT31^3T14T13T13 5832 2252303378 Power CT31^3T13T13T13 6156 2264207634 Power CT31^3T13T13T12 6358 2270960596 Power CT31^3T14T14T9 6647 2273746698 Power CT31^3T14T14T8 6936 2275673260 Power CT31^3T14T14T7 7225 2277873425 Power CT31^3T14T14T6 7514 2278892676 Power CT31^3T14T14T5 7803 2280739262 Power CT31^3T14T14T4 8092 2282028960 Power CT31^3T14T14T3 8262 2288099613 Power CT31^3T14T13T4 8381 2288795345 Power CT31^3T14T14T2 8568 2289389311 Power CT31^3T14T13T3 8670 2291077954 Power CT31^3T14T14T1 8959 2291298353 Power CT31^3T14T14 9072 2296749662 Power CT31^3T13T13T3 9180 2298438305 Power CT31^3T14T13T1 9486 2298658704 Power CT31^3T14T13 9720 2305798656 Power CT31^3T13T13T1 10000 2306019055 Power CT31^3T13T13

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